signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
c5d57071b024d109c38c43678d62eaf1 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [60, 56], "expectation_value": -9.29999589787212, "params": null, "bitstrings": ["000011", "000111"], "total_optimization_steps": 20, "probabilities": [2.81305992022024e-07, 0.9999988346985311], "optimization_time": 11.057173490524292} | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(0.7408) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
bbe413a0841b062dbaa665f6954396a2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [2007, 2005], "expectation_value": -0.045849376930054864, "params": [[[1.111, -0.6903], [-0.158, 1.1081], [1.1058000000000001, 1.092], [1.0934000000000001, 1.0908], [1.1061, 0.4192], [-0.3094, 1.1003], [1.1071, 1.1034000000000002], [1.0975000000000001, 1.0942], [1.1092, 0.7524000000000001], [1.09770000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.75, "smallest_bitstrings": ["100101001000", "011001000100", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4927064872490579) q[0];
ry(-1.541571540095782) q[1];
ry(1.5557930720993445) q[2];
ry(1.6254513445590038) q[3];
ry(1.395404604614877) q[4];
ry(-1.5536698237352855) q[5];
ry(1.454474172112009) q[6];
ry(1.5942835245391742) q[7];
ry(1.4991717074808872) q[8];
ry(1.5483... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIIZZIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZZIIII",
"IIIIZIZZIIII",
"IIIIZZIZIIII",
"IIIIZZZIIIII",
"IIIIZZZZIIII",
"IIIZIIIZIIII",
"IIZIIIIZI... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.970056 | [
1.4927064872490579,
-1.541571540095782,
1.5557930720993445,
1.6254513445590038,
1.395404604614877,
-1.5536698237352855,
1.454474172112009,
1.5942835245391742,
1.4991717074808872,
1.5483452578550838,
1.5183842869148312,
1.6198617486001652,
-1.5425267623354761,
1.6152782343879717,
1.516127... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 62 |
264caf92706ff32b22656c6f94376f0f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [470, 214], "expectation_value": -65.0338432939383, "params": [[[0.7955, 0.1174], [0.7832, 0.1295], [0.7929, 0.1514], [-0.1184, 0.19090000000000001], [0.7728, 0.2348], [0.0006000000000000001, 0.3597], [-0.07050000000000001, 0.5897], [0.1232, 0.6955], [0.388, 0.0392]], [[0.5143, 0.0009000000000000001], [0.776... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 5.5 * Z(1) + 12.0 * Z(2) + 10.0 * Z(4) + 9.0 * Z(3) + 10.5 * Z(8) + 9.5 * Z(6) + 14.0 *... | 15 | 9 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.0639918773467911) q[0];
ry(0.45387747527144123) q[1];
ry(0.6361526966953365) q[2];
ry(-0.052101173400844955) q[3];
ry(0.8384829336376471) q[4];
ry(-0.004623958625207425) q[5];
ry(-0.241128136023503) q[6];
ry(0.26366788671555674) q[7];
ry(0.8612005287151002) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
5,
5.5,
12,
10,
9,
10.5,
9.5,
14,
-9
] | 0.97177 | [
1.0639918773467911,
0.45387747527144123,
0.6361526966953365,
-0.052101173400844955,
0.8384829336376471,
-0.004623958625207425,
-0.241128136023503,
0.26366788671555674,
0.8612005287151002,
0.17917445766682188,
0.07054437647688869,
0.017822202233244662,
0.07043783088979165,
0.189214011445031... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 61 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [21, 5], "expectation_value": -4.249622881933726, "params": null, "bitstrings": ["101010", "111010"], "total_optimization_steps": 14, "probabilities": [0.24998087632969399, 0.24998460488181462], "optimization_time": 7.915950775146484} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "111010", "101010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) q[5];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
b1983a1e4f06f774f7ec1ed4bb689b87 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [90, 88], "expectation_value": -4.366461774141084, "params": [1.6987, 0.0037, 0.6557000000000001, -0.36150000000000004, 1.6976, -0.0014, 1.7097, 0.0031000000000000003, -0.00030000000000000003, 0.008, 1.4766000000000001, 0.0059, 0.0038, 0.0043, -1.6779000000000002, -0.3447, 1.4754, -1.6351, 0.0006000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(6) + ... | 4 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001101", "0101101", "0100111"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-3.110890127013184) q[0];
rz(1.9029253204861867) q[0];
rx(-0.26867952655149685) q[1];
rz(0.8417665446110831) q[1];
rx(2.0510367682738306) q[2];
rz(1.955572682224596) q[2];
rx(2.921280890939064) q[3];
rz(2.025452591676391) q[3];
rx(0.03390849757045124) q[4];
rz(1.5179... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"IIZZIII",
"ZIIZIII",
"IIZIZII",
"IZZIIII",
"ZZIIIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1.5,
-1.5,
0,
-1
] | 0.982397 | [
3.1722951801664028,
0.33212899369129,
-0.2686795265514968,
-0.729029782183813,
2.0510367682738306,
0.38477635542969957,
2.921280890939064,
0.4546562648814948,
0.03390849757045123,
-0.05284710603833778,
-0.020333522141549626,
-0.024680036878463735,
0.16098021335982882,
-0.17881572502715487,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 19 |
74f3db266dbfc29b2e3165b97e91cad0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [27, 11], "expectation_value": -2.0645750865917414, "params": [[-0.0424, -0.037200000000000004, -0.0357], [0.052000000000000005, 0.038400000000000004, 0.040600000000000004]], "bitstrings": ["1100100", "1110100"], "total_optimization_steps": 10, "probabilities": [0.014469948472720992, 0.014531981890307747], "... | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04184615944811212) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.45664904095762016) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.12895850687487254) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.12895850687487254) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
3.25,
-1.25,
-0.75,
-1.5,
-0.75,
-2.25,
-0.25,
-1.75,
1.25,
0.75,
0,
2.25
] | 0.970066 | [
-0.04184615944811212,
0.45664904095762016,
0.12895850687487254,
-0.03723472961299448,
-0.21737936292996754,
0.029373184406209597,
0.6374450655047218,
0.5801198435909705,
0.9287483803293076,
-1.0246339813489909,
-0.8274406081529805,
-1.1072203716599882,
1.4433797659572527,
-0.16463148373233... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 114 |
497cac3b94057e7a59788f1446d196ee | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [86, 118], "expectation_value": -77.68325000625451, "params": [0.0708, 0.0722, 0.4908, 0.4849, 0.41090000000000004, 0.375, 0.4631, 0.46840000000000004, 0.0088, 0.012100000000000001, 0.5381, 0.5194, 0.3924, 0.35650000000000004, -0.0056, -0.0007, 0.068, 0.07300000000000001, 0.502, 0.5473, 0.3378, 0.3562, 0.495... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 19.0 * Z(1) + 10.0 * Z(0) + 5.5 * Z(2) + 16.5 * Z(3) + 7... | 14 | 8 | 3 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.06186121661125177) q[0];
rz(pi/2) q[0];
ry(0.5884904045529574) q[1];
ry(0.34540306493734974) q[2];
ry(0.4586552458186685) q[3];
ry(-0.06191008546032246) q[4];
ry(0.43107935678141474) q[5];
ry(0.44500032782910837) q[6];
ry(-0.05954257538139389) q[7];
cx q[7], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
19,
10,
5.5,
16.5,
7,
18.5,
7,
7.5
] | 0.975596 | [
0.06186121661125177,
0.5884904045529574,
0.34540306493734974,
0.4586552458186685,
-0.06191008546032246,
0.43107935678141474,
0.44500032782910837,
-0.05954257538139389,
-0.1549661797340522,
-0.460314331661411,
0.037358530352911284,
0.8135064687826602,
-0.43345942966696327,
0.266295701295883... | {
"n_parameters": 95,
"n_qubits": 8,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 14 |
5ed2e84a4a14a0b7f5c3856807396e61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "s... | {"states": [55, 1], "expectation_value": -0.14540356768564355, "params": [[0.0529], [-0.044500000000000005]], "bitstrings": ["111001000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.00216806284564627, 0.0021754144624308255], "optimization_time": 2.194122791290283} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 0.75 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 0.5 * Z(8) + -1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["111111110", "111011110", "111011010", "111111010", "111001010", "111001000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.07631298667984679) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.07631298667984679) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.02675005929009977) q[5];
cx q[1], q[5];
rz(1.547506371120754) q[1];
rx(-1.48451... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIZIIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIZZIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII"
] | [
-0.25,
-0.25,
0.75,
-1.25,
-1.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
0.5,
-0.25,
0.75,
0.5,
-1.75,
0,
-1,
0.75,
0.5
] | 0.674338 | [
-0.07631298667984679,
1.3779727175632956,
-0.02675005929009977,
-0.016512191481523938,
-0.0017200849202761322,
1.547506371120754,
1.5630420677388002,
1.564109801380211,
1.5629778929593883,
-1.4845196553160172
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 253 |
7111857690818177387 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 6], [5, 7], [0, 6], [1, 5], [2, 3], [3, 4], [2, 6]]} | {"states": [30, 22], "expectation_value": -0.3705757866621605, "params": [0.7013, -0.0983, 0.5934, 0.0039000000000000003, 0.7069000000000001, -0.0944, 0.6233000000000001, 0.0013000000000000002, 0.6866, -0.1017, 0.6096, 0.008, 0.7059000000000001, 0.0627, 0.7074, 0.0035, 0.6993, -0.09480000000000001, 0.6169, 0.0055000000... | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["11101001", "00010110", "01010011", "10101100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0404371032930106) q[0];
rz(1.759541521355338) q[0];
rx(-0.3312962432112361) q[1];
rz(1.6428731447420386) q[1];
rx(0.32437339846341956) q[2];
rz(1.4249619459015364) q[2];
rx(2.214704309342177) q[3];
rz(1.4297971422094857) q[3];
rx(0.1920415176323746) q[4];
rz(1.5388... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIZIIII",
"ZIZIIIII",
"IZIIIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IIIZZIII",
"IIIIZZII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976873 | [
1.0404371032930106,
0.18874519456044137,
-0.33129624321123613,
0.07207681794714221,
0.32437339846341956,
-0.14583438089336054,
2.214704309342177,
-0.14099918458541136,
0.1920415176323746,
-0.03194509223381847,
3.03342695146363,
0.13434545235313552,
1.098642978238609,
0.05966793958734321,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 90 |
6abfcea40fcfb2aee6e60541a981751a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [91, 127], "expectation_value": -0.15949914248788505, "params": [[-0.052000000000000005, -0.0663, -0.040600000000000004], [0.052500000000000005, 0.0731, 0.0629]], "bitstrings": ["10100100", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005319196789174339, 0.0054850079475398435], "optimizat... | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000000", "10100100", "10000100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-1.0595857759622829) q[0];
cx q[7], q[0];
rz(0.6048134702058414) q[0];
rx(1.029216584893515) q[0];
cx q[7], q[6];
rz(0.6048134702058412) q[6];
cx q[7], q[6];
cx q[6], q[1];
rz(-0.097899551... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0.5,
0,
-0.25,
0.25,
0.25
] | 0.577358 | [
-1.0595857759622829,
0.6048134702058412,
-0.09789955183094325,
-0.06106895996654886,
-1.6195074235481492,
1.0292165848935153
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 157 |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [9, 11], "expectation_value": -5.749999999986026, "params": null, "bitstrings": ["10110", "10100"], "total_optimization_steps": 17, "probabilities": [0.49999999999767164, 0.49999999999767164], "optimization_time": 8.602064847946167} | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5890800937377858) q[0];
rz(-pi) q[1];
ry(-3.1155327368841115) q[1];
rz(-pi) q[2];
ry(-0.04137361749157337) q[2];
h q[3];
h q[4];
ry(1.642088873374983) q[4];
cx q[4], q[2];
ry(0.05197446119306805) q[2];
cx q[4], q[2];
cx q[4], q[1];
ry(0.06805220409940113) ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIZIZ",
"IZZII",
"IZIZI",
"ZIZII",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-1.5,
-0.75,
-0.25,
-1,
1.75,
-1,
-1.25,
-0.25,
0.5,
1.25,
-0.25
] | 0.997568 | [
1.6649084475999796,
-1.560195483093402,
-1.5890800937377858,
1.642088873374983,
-0.1039489223861361,
-0.13610440819880226
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 1 |
024eb4eb919bdf65c57ab94cec1f06e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [21, 13], "expectation_value": -4.996464097828663, "params": null, "bitstrings": ["1101010", "1110010"], "total_optimization_steps": 27, "probabilities": [0.06634871027555574, 0.9303659638118487], "optimization_time": 24.843940258026123} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1110010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.026826525433737123) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6308976674274145) q[1];
h q[2];
ry(-0.4852982136203111) q[2];
h q[3];
cx q[3], q[2];
ry(0.4852982136203111) q[2];
cx q[3], q[2];
ry(-0.5282449194677151) q[2];
ry(0.9544954883708758) q[3];
h q[4];
ry(1.541237106... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1,
0
] | 0.993782 | [
-1.6308976674274145,
-1.6272321698449563,
1.541237106075381,
-0.9705964272406222,
0.797247644555948,
-0.3502112609538205,
0.3144956876298556,
-0.3560673170277892,
0.2806195109599543,
-0.12762364400867643,
0.005054296641712308,
0.00711322139876662,
0.16652473696759373,
-0.16153608992455162
... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
156005634721495645 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 4, 5, 10], [8, 1, 3, 6], [0, 1, 3, 4, 5, 6, 11], [10, 5, 6, 7], [1, 3, 5, 6, 9, 11], [0, 8, 6, 7], [0, 3, 6, 10, 11], [1, 10, 6, 7], [2, 4, 5, 6, 9, 10, 11], [0, 1, 7, 8, 9, 10], [8, 2], [0, 9, 3], [8, 9, 6], [8, 9, 11, 7], [0, 2, 5, 9, 10, 11], [0... | {"states": [3829, 3701], "expectation_value": -5.146572820206634, "params": [1.5637, 1.5717, 1.5713000000000001, 1.5658, 1.5707, 1.5764, 0.0024000000000000002, 0.0024000000000000002, 2.3324000000000003, 2.3842000000000003, 1.5717, 1.5753000000000001, 1.6121, 1.5251000000000001, 1.9287, 1.208, -0.0027, -0.0027, 1.341500... | 0.12380952380952381 * (Z(1) @ Z(2)) + 0.12142857142857143 * (Z(4) @ Z(2)) + 0.18095238095238095 * (Z(4) @ Z(1)) + 0.15476190476190477 * (Z(5) @ Z(2)) + 0.13095238095238096 * (Z(5) @ Z(1)) + 0.14523809523809522 * (Z(5) @ Z(4)) + 0.10714285714285715 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(1)) + 0.15714285714285714 * (Z(10) ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-5.197619047619047], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.095238095238094, "smallest_bitstrings": ["000110001010"], "largest_eigenvalue": 22.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5741723616972434) q[0];
rz(-0.02762614872511311) q[0];
ry(1.5602074153644747) q[1];
ry(1.580661218584937) q[2];
ry(0.08181657237864083) q[3];
ry(2.4996418337476607) q[4];
ry(1.6793532702468799) q[5];
ry(1.4778451827226287) q[6];
ry(1.9171301099998639) q[7];
ry(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IZIIIIIIIZII",
"IZIIIIIIIIZI",
"IZIIIIIZIIII",
"IZIIIIZIIIII",
"IIIZIIIIIZII",
"IIIZIIIIIIZI",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IZIZIIIIIIII",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIZZ... | [
0.12380952380952381,
0.12142857142857143,
0.18095238095238095,
0.15476190476190477,
0.13095238095238096,
0.14523809523809522,
0.10714285714285715,
0.25,
0.15714285714285714,
0.19047619047619047,
0.5,
0.11666666666666667,
0.08333333333333333,
0.5,
0.03333333333333333,
0.1071428571428571... | 0.986734 | [
1.5741723616972434,
1.5602074153644747,
1.580661218584937,
0.08181657237864083,
2.4996418337476607,
1.6793532702468799,
1.4778451827226287,
1.9171301099998639,
0.026498018101202885,
1.279672522002199,
1.6515487543554372,
-0.05525229745022622,
-1.7156945382627489,
0.009209489175699501,
-1... | {
"n_parameters": 40,
"n_qubits": 12,
"optimal_eigenvalue": -5.197619047619047,
"target_ratio": 0.97,
"target_value": -5.0416904761904755
} | 1 |
d6b13898a43ef6a3b972400025136a82 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [20, 28], "expectation_value": -2.445224652906528, "params": [[[-0.0025, 0.0077], [1.4937, 0.0022], [-0.0023, 0.008], [1.6992, 0.0077], [1.6301, 0.0008], [1.6545, 0.0017000000000000001], [1.4766000000000001, 0.0017000000000000001], [-0.0022, 0.0053]]], "bitstrings": ["11101011", "11100011"], "total_optimizat... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(4)) + -0.125 * (... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.875, "smallest_bitstrings": ["11100011", "11100101", "10101011", "10101101"], "largest_eigenvalue": 7.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.16452483211428331) q[0];
rz(-0.0939784462069535) q[0];
rx(-0.2622014082949942) q[1];
rz(0.536231635290506) q[1];
rx(0.2659319805401682) q[2];
rz(0.4513091787312832) q[2];
rx(3.134082272987166) q[3];
rz(-0.0939784462069535) q[3];
rx(2.861606663957222) q[4];
rz(-1.58... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIZI",
"IZZIIIII",
"ZIZIIIII",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IZIZIIII",
"IIIZZIIZ",
"IZIIZIIZ",
"IZIZIIIZ",
"IZIZZIII",
"IZIZZIIZ",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.25,
-0.75,
0.125,
-0.125,
-0.125,
-0.5,
-1
] | 0.982844 | [
0.16452483211428331,
-0.0939784462069535,
-0.2622014082949942,
0.536231635290506,
0.2659319805401682,
0.4513091787312832,
3.134082272987166,
2.861606663957222,
-1.5879861198088299,
2.999396213947362,
-1.1543080955695675,
0.029708022728493357,
-0.022395170268351902,
-1.5206194249428022
] | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 26 |
fb6267fe9e00f958431b621d7db08da1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [11, 1], "expectation_value": -4.752857727781846, "params": null, "bitstrings": ["1110100", "1111110"], "total_optimization_steps": 20, "probabilities": [0.06683590605431504, 0.9171841330013739], "optimization_time": 15.763132095336914} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8256979864230616) q[0];
ry(-0.06047270206602687) q[1];
rz(-pi) q[1];
ry(-0.014969240940445772) q[2];
rz(-pi) q[2];
h q[3];
rz(-pi) q[4];
ry(-0.03264831394078908) q[4];
h q[5];
ry(0.38986338903582735) q[5];
cx q[3], q[5];
ry(-0.38986338903582735) q[5];
cx q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
-0.25,
0.5,
-1,
0,
0.25,
0.25
] | 0.9716 | [
-1.4905875067940901,
1.6866535584938058,
-1.6513959728461232,
0.7797267780716547,
-0.9916435268869962,
-1.0342852189492289,
-1.045626493862757,
-1.5904426894702208,
-0.4859469214319778,
-1.4056839420523877,
-0.3002862876041261,
0.19491589361314454,
-0.12374949131886509,
-0.0260039025309298... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 4 |
875e5740880a0d262105a74a2ea75384 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [169, 41], "expectation_value": -2.87705514334499, "params": [[[0.7256, 0.040400000000000005], [0.0024000000000000002, 0.6781], [0.9109, 0.0011], [-0.0028, 0.6577000000000001], [0.8472000000000001, 0.0021000000000000003], [-0.0019, 0.6731], [-0.0022, 0.655], [0.9105000000000001, -0.0011]], [[0.72310000000000... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(7) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(2)) + -0.125 * (Z(7) @ Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["11010110", "01011110"], "largest_eigenvalue": 6.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-3.007615962678993) q[0];
ry(0.28624120527541286) q[0];
rz(3.0621154022786206) q[0];
rz(-1.4893489070965713) q[1];
ry(0.1625953819011423) q[1];
rz(1.3261295824433823) q[1];
rz(1.1219107642954143) q[2];
ry(2.950057668001646) q[2];
rz(-2.5226021935634275) q[2];
rz(-1.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIZII",
"ZIIIIZII",
"IIZZIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIZZIZII",
"ZIIZIZII",
"ZIZIIZII",
"ZIZZIIII",
"ZIZZIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZZIIZIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0.125,
-0.75,
-0.75,
-0.125,
-0.625,
-0.75,
0.125
] | 0.976881 | [
-0.4157560978974147,
0.6703390573158567,
-0.0815668940428897,
0.16235563729156227,
1.4519298214979899,
-0.08282641735612561,
-0.05703407826440944,
0.017807649743418502,
1.6523143079982094,
0.06878847215448786,
-0.09787010853532936,
0.7944185879351064,
-0.10841121672533677,
0.08073690948304... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 25 |
08ccbe9af4c3c33685bd44f9c4699a2c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 1, "target": 4}, {"weight": 10, "source": 2, "target": 3}, {"weight":... | {"states": [347, 346], "expectation_value": -86.67247402549407, "params": [0.0006000000000000001, -0.3899, 0.0038, -0.4033, 0.7017, 0.0658, 0.7027, 0.046400000000000004, 0.0845, 0.3119, 0.0887, 0.3047, 0.6954, 0.0434, 0.7004, 0.0743, 0.3442, -0.1932, 0.3447, -0.199, 0.7036, 0.0954, 0.7023, 0.0614, 0.6954, 0.11370000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 19.5 * Z(1) ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-104.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.0, "smallest_bitstrings": ["1010100101"], "largest_eigenvalue": 179.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.12880069940038244) q[0];
rz(-0.47588622885575793) q[0];
rx(0.8014675967422956) q[1];
rz(0.6438467573783027) q[1];
rx(-0.03189442783932592) q[2];
rz(0.20294410697539078) q[2];
rx(0.6826190315557722) q[3];
rz(-0.1325301449549725) q[3];
rx(0.07409041876372263) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
19.5,
-4,
10,
-0.5,
7.5,
21,
22.5,
3,
13.5,
9.5
] | 0.973114 | [
0.12880069940038244,
-0.5816667191485729,
0.8014675967422956,
0.533617649360335,
-0.0318944278393259,
-0.05355701451461241,
0.6826190315557721,
-0.1424491429841897,
0.07409041876372263,
-0.09154966639341328,
0.6305625269569067,
0.12627345365117765,
0.07780219147662071,
0.02270686445799372,... | {
"n_parameters": 91,
"n_qubits": 10,
"optimal_eigenvalue": -104,
"target_ratio": 0.97,
"target_value": -100.88
} | 31 |
97aa58ef0b431934bfaa14698e7612e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 29], "expectation_value": -4.499899063456086, "params": null, "bitstrings": ["000110", "100010"], "total_optimization_steps": 27, "probabilities": [1.6414457491183143e-05, 0.9999303761353588], "optimization_time": 20.77677321434021} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.0651359293991675) q[0];
rz(-pi) q[0];
ry(-2.9863728943382646) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.0966768290779063) q[2];
h q[3];
ry(1.416522520487516) q[3];
cx q[3], q[0];
ry(0.0756279699701927) q[0];
cx q[3], q[0];
ry(0.07903094769679948) q[3];
ry(-0.0588420... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
0,
0
] | 0.993396 | [
-1.5356385769847074,
-1.4300324274255363,
1.4790868765185854,
1.416522520487516,
-0.1512559399403854,
-0.0018919058882961165,
0.15806189539359897,
0.27325054957639605,
0.06988879116685,
-0.1176840429531697,
-0.012299817357459168
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
7d8b3d8ceec2d81b644dfcbc98592f50 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [445, 382], "expectation_value": -0.07213043978187716, "params": [[-0.0763], [0.0777]], "bitstrings": ["1001000010", "1010000001"], "total_optimization_steps": 10, "probabilities": [0.0011634495036848104, 0.001163449503684811], "optimization_time": 7.7157063484191895} | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["1001000010", "1000100100", "1010000001"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[1];
... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIIZIIIZZ",
"IIIZIIIIZZ",
"IIIZZIIIIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
... | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
20a60ed013bc1976376f734be7d8d92c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [47071, 47070], "expectation_value": -18.56091514690806, "params": [[[-0.329, 0.1068], [-0.1885, -0.0936], [1.1218000000000001, 0.6354000000000001], [0.45370000000000005, 0.6855], [-0.0182, 0.38870000000000005], [1.5682, -0.0028], [1.2909000000000002, -0.0029000000000000002], [1.5682, 0.002], [1.5684, -0.003... | 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5... | 15 | 16 | 2 | {"smallest_eigenvalues": [-19.999999999999957], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["0100100000100001"], "largest_eigenvalue": 68.00000000000027} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
... | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
5aa41fa14f6a892e69fb2ef8bf1750a6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [70, 102], "expectation_value": -5.7965049874611205, "params": [-0.0181, -0.011300000000000001, -0.0007, 0.0022, 0.304, 0.3008, 0.2805, 0.2761, 0.0903, 0.09910000000000001, 0.0022, 0.0071, 0.2934, 0.2928, 0.3002, 0.29810000000000003, -0.0068000000000000005, -0.0039000000000000003, -0.011300000000000001, -0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + -1.0 * Z(3) ... | 13 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110011001", "110001101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.08299587799620571) q[0];
rz(-0.05651153380895403) q[0];
ry(0.05761839018148064) q[1];
ry(0.18385007665567607) q[2];
ry(0.5992564578001871) q[3];
ry(0.12915165148842125) q[4];
ry(-0.1330832323628374) q[5];
ry(0.2271575876735189) q[6];
ry(0.46847757065066165) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
-1.5,
-1,
-1
] | 0.970868 | [
-0.08299587799620571,
0.05761839018148064,
0.18385007665567607,
0.5992564578001871,
0.12915165148842125,
-0.1330832323628374,
0.2271575876735189,
0.46847757065066165,
-0.10412965271827677,
-0.11302306761790806,
-0.009922231933566079,
0.12177521852867314,
-0.1852322179062659,
-0.07764751894... | {
"n_parameters": 137,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 7 |
1c5d1381d8045df60eb241fe502287d3 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [199, 135], "expectation_value": -2.635746415334708, "params": [[-0.0707], [0.0656]], "bitstrings": ["1100111000", "1101111000"], "total_optimization_steps": 10, "probabilities": [0.0018564300578615377, 0.001938626343649256], "optimization_time": 2.391594171524048} | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -2.0... | 5 | 10 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-pi) q[0];
ry(-0.0469402290191681) q[0];
ry(-0.006734321659309033) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.06717540740365421) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5827175563940483) q[5];
cx q[5], q[0];
ry(0.04464761442408521) q[0];
cx q[5], q[0];
ry(-0.00116391938367... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-3,
1.5,
-3,
-2.5,
0.5,
-3.5,
1.5,
-3,
0.5,
1,
1,
-2.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-3,
-2.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.966229 | [
-1.581858588435739,
-1.5827175563940483,
-1.5730889413899798,
-0.08929522884817041,
-1.567012916357841,
-0.0023278387673489167,
-0.0034155684297446313,
0.003948709747273392,
1.4634202878432003,
-0.009746326494580364,
0.00997636903925454,
0.008727371946632615,
1.5676188468578816,
1.21256185... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 500 |
fc080107649a6d17dcb56ee14364c80b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target": 3}, {"weight": 4... | {"states": [119, 118], "expectation_value": -26.65129635359125, "params": [[-0.031, -0.0092, 0.011000000000000001], [0.0604, 0.066, 0.0654]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.013476520953137209, 0.01607772798019105], "optimization_time": 7.628106117248535} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03719020080834875) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03719020080834875) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.03719020080834875) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.03719020080834875) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
11.5,
7.5,
19,
14.5,
12.5,
13,
17,
4.5
] | 0.97288 | [
0.03719020080834875,
-1.8699221453934163,
1.5492561782986691,
-1.5931886264214523,
-1.6517452253590352,
1.8627470768994112,
-1.1395722413714153,
-1.5382517386917764,
1.6492088456784,
1.2904626098927485,
0.06032190008345585,
0.7509437090138501,
-1.2690087663305125,
-0.04464628747226069,
0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 82 |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -0.19976324855223304, "params": [[0.049800000000000004], [-0.043000000000000003]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.01730918212874595, 0.01771083445241971], "optimization_time": 1.6406071186065674} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4280305935609409) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.586367014293522) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.586367014293522) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4280305935609409... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
2,
-0.25,
-1,
-1.5,
-0.25,
0,
0.25,
0.75,
0.75
] | 0.573914 | [
-0.4280305935609409,
-0.586367014293522,
-0.5941967814927773,
0.9893183086380308,
-0.015078214242113929,
-0.4197495527732082,
-0.00750719659323729,
0.17460404483085798,
0.3564795609965509,
-0.9246051704663378
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 223 |
f873cf0048fc44701f70d0f09e6d1420 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [87, 85], "expectation_value": -7.681329686763363, "params": [[0.13820000000000002, 0.2192], [-0.42060000000000003, -0.3171]], "bitstrings": ["10101000", "10101010"], "total_optimization_steps": 50, "probabilities": [0.05502391672083625, 0.055085838005496726], "optimization_time": 4.115557670593262} | -0.5 * (Z(0) @ Z(4)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(4) + -0.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10101010", "10101000"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.019342749178970584) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.014010937666325912) q[3];
cx q[4], q[3];
cx q[3], q[1];
rz(-0.40172858844056397) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(0.045586839198308124) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZZIII",
"IIIIZIZI",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-0.5,
-1,
-1.25,
-1,
0.75,
-0.5,
-2,
-0.5,
-0.75,
-1,
-0.75,
-1,
-0.25,
-1.5,
-0.25,
0.25,
1,
-0.25,
-0.75,
-1,
2.5
] | 0.97358 | [
-0.019342749178970584,
0.014010937666325912,
-0.40172858844056397,
1.3215843607999782,
0.045586839198308124,
0.047875307479368884,
-1.382927662054454,
-0.32507020581930796,
0.3627544489084335,
0.2937061290503934,
1.2911586018850818,
-1.5963506187461252,
-0.09288222632734316,
0.057826197005... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 264 |
e9e1c3bad7671d416f508c960af260f6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -7.249999958339817, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 18, "probabilities": [0.4999999958328442, 0.4999999958328442], "optimization_time": 15.351597309112549} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], q[3]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
1.5,
0.25,
-0.25,
0,
-1,
0.25,
-0.5,
1.25
] | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
aa593368bb5365cab30d0ff25322eaa9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -7.400854071477466, "params": [0.0014, -0.06960000000000001, -0.0017000000000000001, -0.0913, 0.0011, -0.10690000000000001, -0.0005, -0.0781, 0.0658, 0.060000000000000005, 0.1153, 0.0233, 0.003, -0.15280000000000002, 0.0041, -0.15460000000000002, 0.0057, -0.11470000000000001, 0.0... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 5 | 9 | 4 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["110111110", "111111100", "110111100", "111111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2604022855737892) q[0];
rz(-0.01537861649750738) q[0];
rx(-0.12818536156118715) q[1];
rz(-0.0869066548434887) q[1];
rx(0.17384250003208646) q[2];
rz(0.07010493845988597) q[2];
rx(0.1597859737204616) q[3];
rz(-0.1345468314568281) q[3];
rx(-0.018218472456728235) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIIZIZIII",
"IIIZIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII"
] | [
-0.75,
1,
-1,
-0.75,
-0.75,
-1,
-0.25,
-1,
-0.75,
-0.5,
-0.25,
1,
0.25,
-0.5,
-2.5,
1,
-0.25,
1.75
] | 0.972242 | [
-0.2604022855737892,
0.018502660556804107,
-0.12818536156118712,
-0.06547363986262428,
0.17384250003208646,
0.07050808954344356,
0.1597859737204616,
-0.08364495497588834,
-0.018218472456728235,
-0.32470608609845375,
-0.048560420322889965,
-0.08972281135762039,
-0.06810126215350618,
0.05827... | {
"n_parameters": 161,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
-7365051391097993006 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 6], [0, 2, 3, 5, 6], [0, 2, 4, 5, 7], [0, 1, 4, 7, 8], [1, 2]]} | {"states": [431, 127], "expectation_value": -0.5840158376171242, "params": [[0.4748], [-0.45320000000000005]], "bitstrings": ["001010000", "110000000"], "total_optimization_steps": 50, "probabilities": [0.005377806915839885, 0.0054421169703382215], "optimization_time": 4.453653335571289} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.05 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(6)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.35, -1.35, -1.35, -1.35], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.3499999999999999, "smallest_bitstrings": ["010001010", "010001000", "110000000", "110001000"], "largest_eigenvalue": 4.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(1.2518380214020177e-08) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(1.2518380214020177e-08) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-2.007467548870032e-09) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-2.0074... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIZIIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIIZIIZ",
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IZIIIIIZI",
"... | [
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.1,
0.05,
0.05,
0.5,
0.05,
0.05,
0.1,
0.05,
0.05,
0.05,
0.1,
0.1,
0.05,
0.1,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0... | 0.927423 | [
1.2518380214020177e-8,
-2.007467548870032e-9,
-1.394627612642726e-8,
0.04050407090002088,
3.1415927180629084,
1.570796298886785,
1.5707964568036918,
1.5707964205324005,
-1.5707962089304552,
-1.5707963092841537
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -1.35,
"target_ratio": 0.97,
"target_value": -1.3095
} | 255 |
8b5947b02692638d32f271e79fab34d5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 8}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target":... | {"states": [0, 1022], "expectation_value": -17.88222069901137, "params": [[[-0.2647, 0.8086], [0.0028, 0.8102], [0.0041, -0.0025], [0.0029000000000000002, 0.0015], [0.002, 0.0028], [0.002, -0.0031000000000000003], [0.0029000000000000002, 0.0031000000000000003], [0.0028, 0.0025], [0.0028, 0.0025], [-0.0041, 0.0004], [-0... | -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(4)) + -2.25 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -17.25, "smallest_bitstrings": ["10000000000", "10000000001", "10000000010", "10000000011", "10000010111"], "largest_eigenvalue": 24.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.0781274843234667) q[0];
ry(-0.032168929984743924) q[1];
ry(0.15901863390259885) q[2];
ry(-0.02762987132869597) q[3];
ry(-0.006401337068846491) q[4];
ry(-0.006401337068846491) q[5];
ry(-0.02762987132869597) q[6];
ry(-0.032168929984743924) q[7];
ry(-0.0321689299847... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IZZIIIIIIII",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IZIIZIIIIII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IIIZIIZIIII",
"IIIIIZIZIII",
"IIIIIZIIIZI",
"IIIIZZIIIII",
"IIIZIZIIIII",
"ZIIIZIIIIII",
"IIIIIIIIZIZ",
"IIIZIIIIZ... | [
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-1.5,
-0.25,
-0.5,
-0.75,
-1,
-2.25,
-1.5,
-0.75,
-0.75,
-1,
-1.75,
-1,
0.75,
-1,
-2.25,
-0.25,
-1.5,
-0.25,
3,
1.5,
-1,
-0.75,
2.75,
-1,
-0.25
] | 0.971532 | [
-0.0781274843234667,
-0.032168929984743924,
0.15901863390259885,
-0.02762987132869597,
-0.006401337068846491,
0.04527143754682471,
-0.017959131693902085,
0.9905228058148161,
0.6965908715286384,
0.03904999173329677,
0.047842231729873896,
-0.028931034523491578,
-0.015502847708995161,
0.09782... | {
"n_parameters": 27,
"n_qubits": 11,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 11 |
-3928143730856399574 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2], [3, 4], [0, 1, 3]]} | {"states": [25, 18], "expectation_value": -0.010911528187037056, "params": [[-0.0419], [0.052500000000000005]], "bitstrings": ["00110", "01101"], "total_optimization_steps": 10, "probabilities": [0.031936033936614955, 0.031936414608730326], "optimization_time": 0.6496052742004395} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["10001", "00110", "01101"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.4500340104055005) q[0];
cx q[2], q[0];
rz(0.24718035736077582) q[2];
rx(0.8077654662530369) q[2];
h q[3];
cx q[0], q[3];
rz(-0.2592907543478236) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.2592907543478236) q[1];
cx q[0], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x1) q[3];
cx q[0], q[3];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[0], q[... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZIIZ",
"ZZIII",
"IIIZZ",
"IZIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666663,
0.16666666666666663,
0,
0.16666666666666666
] | 0.781314 | [
-1.4500340104055005,
-0.2592907543478236,
0.2471803573607758,
0.8077654662530369
] | {
"n_parameters": 4,
"n_qubits": 5,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 117 |
bdc39d8330d1d7cee03559144a025856 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [0, 1], "expectation_value": -18.185702258087787, "params": [0.0045000000000000005, -0.11380000000000001, 0.0002, -0.1384, -0.0031000000000000003, -0.2237, 0.0005, -0.2209, -0.0028, -0.22190000000000001, -0.0047, -0.22440000000000002, -0.0044, -0.21400000000000002, -0.0043, -0.2164, -0.0064, -0.1985, -0.0001... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)... | 5 | 9 | 3 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.051630824347007026) q[0];
rz(-0.1464661220764576) q[0];
rx(-0.06729308463696425) q[1];
rz(-0.05111942679371495) q[1];
rx(-0.020870183822651243) q[2];
rz(-0.07271017724579565) q[2];
rx(0.022739634605724535) q[3];
rz(-0.06734135895324567) q[3];
rx(0.0219327629703353... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-1.25,
-1.25,
-0.5,
-1.5,
-1,
-1,
-1.5,
-1.5,
-1,
-1.5,
-0.75,
-0.5,
4.5,
-1,
-0.75,
-0.25,
-1.25,
-1.5,
-0.25,
-3.75,
1.25,
2,
0.5,
0.5,
2.5,
-1.25
] | 0.975613 | [
-0.05163082434700701,
-0.054822364338722916,
-0.06729308463696423,
-0.10464284211338082,
-0.02087018382265124,
-0.1018630173328687,
0.022739634605724535,
-0.12987567485549695,
0.021932762970335314,
-0.2311231351797588,
-0.02203873980031195,
-0.12925912873225243,
0.04971961462745458,
-0.203... | {
"n_parameters": 122,
"n_qubits": 9,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 6 |
-8339275826226481796 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2], [1, 2, 4], [3, 4]]} | {"states": [21, 25], "expectation_value": -0.02808304336988452, "params": [[0.07250000000000001], [-0.08080000000000001]], "bitstrings": ["01010", "00110"], "total_optimization_steps": 10, "probabilities": [0.03270983111851876, 0.03270983111851878], "optimization_time": 8.220210790634155} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * Z(1) + 0.16666666666666666 * Z(0) + 0.3333333333333333 * Z(2) + 0.16666666666666663 * Z(... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.1666666666666665, -1.1666666666666665, -1.1666666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.8333333333333336, "smallest_bitstrings": ["10001", "01010", "00110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.21187309900376108) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.6387127689523634) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.21187309900376108) q[2];
cx q[0], q[2];
rz(0.2118730990037614) q[0];
rx(-0.8072748567439945) q[0];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666663,
0
] | 0.740666 | [
0.21187309900376108,
0.6387127689523634,
1.520198308493972,
-0.20723471785460434,
-0.8072748567439946
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -1.1666666666666665,
"target_ratio": 0.97,
"target_value": -1.1316666666666666
} | 134 |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [5, 21], "expectation_value": -2.0719430976342794, "params": null, "bitstrings": ["11010", "01010"], "total_optimization_steps": 28, "probabilities": [0.13262953595047108, 0.6775037254469125], "optimization_time": 15.903728723526001} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
7282702479489441897 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [3, 5], [4, 7], [5, 6], [0, 5], [5, 7], [2, 3], [4, 6], [2, 4], [3, 4], [1, 4], [0, 4], [2, 5], [0, 7], [3, 6]]} | {"states": [92, 76], "expectation_value": -0.3712488020548136, "params": [0.6985, -0.0009000000000000001, 0.7002, 0.0037, 0.7043, 0.0056, 0.6938000000000001, 0.0048000000000000004, 0.7019000000000001, 0.0033, 0.6905, 0.0086, 0.7037, -0.0021000000000000003, 0.7011000000000001, 0.0081, 0.7097, -0.0006000000000000001, 0.7... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["00001100", "01011100", "00011100", "01001100", "10100011", "11100011", "00101100", "10110011", "11010011", "11110011"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.09848840852475158) q[0];
rz(1.9358491939502818) q[0];
rx(1.1411267165260939) q[1];
rz(1.7539559691054638) q[1];
rx(0.16604944545979086) q[2];
rz(1.0046673785747213) q[2];
rx(0.9152508005042324) q[3];
rz(1.0975985282514102) q[3];
rx(2.4530704636152203) q[4];
rz(1.71... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"ZIZIIIII",
"ZIIZIIII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIZIIIIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971794 | [
0.09848840852475155,
0.3650528671553852,
1.1411267165260939,
0.18315964231056753,
0.1660494454597909,
-0.5661289482201748,
0.9152508005042321,
-0.47319779854348604,
2.4530704636152203,
0.1458210295246099,
1.8564964709041771,
-0.15446378290048543,
0.23529260749136843,
0.26913862241104003,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 71 |
-2786189512650659487 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 4], [0, 2, 3, 5, 6], [0, 1, 3, 6], [0, 2, 4, 6], [0, 1, 2, 6]]} | {"states": [61, 63], "expectation_value": -0.7540861892588124, "params": [[-0.45430000000000004], [0.4481]], "bitstrings": ["1000010", "1000000"], "total_optimization_steps": 50, "probabilities": [0.02059404973457297, 0.021581423146866847], "optimization_time": 1.8453149795532227} | 0.3 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.3 * (Z(6) @ Z(0)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2833333333333337, -1.2833333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2833333333333334, "smallest_bitstrings": ["1000000", "0100110"], "largest_eigenvalue": 5.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-7.148606800461633e-09) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(4.140468559653124e-09) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[2];
rz(4.563133859199164e-08) q[2];
cx q[3], q[2];
rz(-0.42403104157730326) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIIZZII",
"IIIIZIZ",
"IIZIZII",
"IZIZIII",
"IZIIIIZ",
"IZIIZII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIZIZI",
"IIIIIZZ",
"IIIIZZI",
"ZIIIIZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"III... | [
0.3,
0.16666666666666666,
0.25,
0.05,
0.21666666666666667,
0.08333333333333333,
0.05,
0.05,
0.05,
0.13333333333333333,
0.3,
0.08333333333333333,
0.21666666666666667,
0.05,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3916666666666668,
0.... | 0.951299 | [
-7.148606800461633e-9,
4.140468559653124e-9,
-0.42403104157730326,
4.563133859199164e-8,
6.883576332359051e-8,
-9.06957284277229e-9,
-2.8797989409447714e-8,
-1.5707962380426346,
1.5707963005940158,
-1.5707961732887574,
-1.5707964242566583,
1.5707952014738615,
-1.570796403766552,
1.57079636... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.2833333333333337,
"target_ratio": 0.97,
"target_value": -1.2448333333333337
} | 366 |
55afca42a930d1b0fc35b8332f4b681b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [159, 143], "expectation_value": -82.96741072950273, "params": [0.9995, 0.16670000000000001, -0.0151, 0.529, 0.0024000000000000002, 0.6103000000000001, 0.5112, 0.24300000000000002, 0.9925, 0.0115, 0.9752000000000001, 0.0063, 0.9846, 0.002, 0.9871000000000001, -0.0034000000000000002, 0.9971000000000001, 0.188... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 29.0 * Z(0) + -1.5 * Z(1) + 15.0 *... | 18 | 8 | 3 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["01110000"], "largest_eigenvalue": 201.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0619860177865272) q[0];
rz(0.11745694623442082) q[0];
rx(-0.09176798424977958) q[1];
rz(0.3671104340459993) q[1];
rx(-0.08051399870403211) q[2];
rz(0.7722445586636755) q[2];
rx(0.22566865196478378) q[3];
rz(0.22550883384165982) q[3];
rx(1.2166645662894124) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
29,
-1.5,
15,
8.5,
-5,
26.5,
23,
21.5
] | 0.970871 | [
1.0619860177865275,
0.10677693902377695,
-0.09176798424977958,
0.3671104340459993,
-0.08051399870403211,
0.7722445586636755,
0.22566865196478378,
0.22550883384165982,
1.2166645662894124,
0.1692287611168656,
1.2615417466108005,
0.036152572936004754,
0.891886355684449,
0.07831589488067793,
... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 7 |
-7409011384284673023 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5, 6], [0, 2, 3, 6], [0, 1, 2, 5], [0, 2, 5, 6], [1, 2, 3, 4], [0, 3, 5]]} | {"states": [121, 59], "expectation_value": -1.5590422005206577, "params": null, "bitstrings": ["0000110", "1000100"], "total_optimization_steps": 36, "probabilities": [0.022284358843025646, 0.9234028490383865], "optimization_time": 37.73023962974548} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.416666666666667, "smallest_bitstrings": ["1000100"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.31522124442772337) q[0];
h q[1];
h q[2];
ry(1.2053731436421804) q[2];
h q[3];
ry(1.577877092426052) q[3];
h q[4];
ry(-0.1427619216147341) q[4];
h q[5];
cx q[5], q[0];
ry(0.31522124442772337) q[0];
cx q[5], q[0];
ry(-0.3614657561928799) q[0];
cx q[2], q[0];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4745) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZZIII",
"IZZIIII",
"IZIZIII",
"ZIZIIII",
"ZIIZIII",
"ZZIIIII",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IIIZZII",
"IZIIZII",
"ZIIIZII",
"IIIIZIZ",
"IIZIIZI",
"IIIZIZI",
"IZIIIZI",
"IIIIIZZ",
"IIIIZZI",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"III... | [
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.083333333333333... | 0.976153 | [
1.577877092426052,
1.2053731436421804,
-0.6304424888554467,
0.8003197587441371,
-0.7229315123857598,
0.3497219619980685,
-0.4763222917092743,
0.23488465126800329,
-0.2855238432294682,
0.24108851790735464,
-0.5291101100743897,
0.3368859550048586,
-0.34752501170772154,
0.3975588366945409,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -1.5833333333333333,
"target_ratio": 0.97,
"target_value": -1.5358333333333332
} | 1 |
6673035989411699795 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 9, 5], [9, 2, 6], [8, 2, 11], [1, 4, 5, 10, 11], [2, 3], [0, 3], [2, 4, 5, 7, 11], [9, 2, 4, 5], [0, 2, 6], [3, 4, 6, 9, 11], [0, 1, 7, 9, 10], [0, 4, 5, 10, 11], [0, 1, 2, 5, 10], [1, 10, 6], [1, 11, 5, 6], [2, 5, 9, 10, 11], [1, 3, 4, 6, 7], [0, 11,... | {"states": [2746, 2750], "expectation_value": -2.1292684199665093, "params": [[[1.101, 0.10360000000000001, 0.0031000000000000003, 0.006900000000000001], [1.1032, 0.10360000000000001, 1.0256, 0.0006000000000000001], [1.0933000000000002, -0.009600000000000001, 1.095, 0.0054], [1.0771, -0.16920000000000002, 0.68580000000... | 0.21666666666666667 * (Z(0) @ Z(11)) + 0.3 * (Z(7) @ Z(11)) + 0.26666666666666666 * (Z(7) @ Z(0)) + 0.3 * (Z(4) @ Z(11)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.23333333333333334 * (Z(4) @ Z(7)) + 0.21666666666666667 * (Z(8) @ Z(11)) + 0.25 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.3333333333333333 * ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-4.900000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.8999999999999995, "smallest_bitstrings": ["010101000001"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.141766094252734) q[0];
rz(0.6636689617152264) q[0];
ry(0.028357247353862625) q[1];
rz(0.6636689617152264) q[1];
cx q[1], q[0];
ry(2.6643663385534415) q[1];
rz(-0.03837103161023411) q[1];
ry(1.5844438359933608) q[2];
rz(0.010710597913980713) q[2];
ry(1.917008966445... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIIZ",
"ZIIIZIIIIIII",
"IIIIZIIIIIIZ",
"ZIIIIIIZIIII",
"IIIIIIIZIIIZ",
"IIIIZIIZIIII",
"ZIIZIIIIIIII",
"IIIZIIIIIIIZ",
"IIIZZIIIIIII",
"IIIZIIIZIIII",
"IZIIIIIZIIII",
"ZIIIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"IIIIIIIZZIII",
"IIIZIIIIZIII",
"IZIIIIIIZIII",
"ZIIIIIIII... | [
0.21666666666666667,
0.3,
0.26666666666666666,
0.3,
0.21666666666666667,
0.23333333333333334,
0.21666666666666667,
0.25,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.1,
0.13333333333333333,
0.2833333333333333,
0.26666666666666666,
0.21666666666666667,
0.16666666666... | 0.97246 | [
3.141766094252734,
0.6636689617152264,
0.028357247353862625,
1.5844438359933608,
0.010710597913980713,
1.9170089664457126,
-0.04667244439652103,
1.6276706415039865,
-0.09559431124706037,
0.9768749543420447,
-0.0013627353417569182,
1.1219304818985754,
-0.04261383497319289,
0.088339068571799... | {
"n_parameters": 40,
"n_qubits": 12,
"optimal_eigenvalue": -4.900000000000001,
"target_ratio": 0.97,
"target_value": -4.753000000000001
} | 72 |
d51551ef49ab16c1773b893a34232d66 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [783, 799], "expectation_value": -2.170983514226603, "params": [0.0014, 0.0002, 0.5007, 0.5025000000000001, 0.3486, 0.3547, 0.1366, 0.1411, 0.13440000000000002, 0.13620000000000002, 0.1311, 0.1273, 0.3357, 0.3367, 0.3382, 0.3406, 0.49410000000000004, 0.5033, 0.4988, 0.5018, 0.4975, 0.5002, 0.002, 0.0019, 0.4... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.5 * (Z(0) @ Z(8)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(10) @ Z(2)) + 0.1... | 13 | 11 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.375, "smallest_bitstrings": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.124530870919482) q[0];
rz(-0.004649587621104394) q[0];
ry(0.3503364885672979) q[1];
ry(0.4363833160797733) q[2];
ry(-0.21009776761496446) q[3];
ry(-0.004026963516477381) q[4];
ry(-0.11117628987008028) q[5];
ry(0.6632958846104882) q[6];
ry(0.43617936388643014) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZZZIIIII",
"IIZIIIIIIIZ",
"IIIIIZIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IZIIIZIIZII",
"ZIIIIZIIZII",
"ZZIIIIIIZ... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.1... | 0.976469 | [
-0.124530870919482,
0.3503364885672979,
0.4363833160797733,
-0.21009776761496446,
-0.004026963516477381,
-0.11117628987008028,
0.6632958846104882,
0.43617936388643014,
0.6757452946023749,
0.20988322160420594,
0.3068251460174917,
-0.009299175242208788,
0.043553255296154766,
-0.1145778758457... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 18 |
b2edf981a9c05ff141b468ab5531d2c7 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [71, 85], "expectation_value": -2.590685641349327, "params": null, "bitstrings": ["0111000", "0101010"], "total_optimization_steps": 45, "probabilities": [0.06991996953746794, 0.7415731129598419], "optimization_time": 37.469557762145996} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101010", "0110001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"IIIZZIZ",
"IIZIIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"ZZZIIII",
"IZIIZII",
"ZIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
4237845c232746c3e0d0cf50f5cff487 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 19, "source": 0, "tar... | {"states": [437, 244], "expectation_value": -21.196746720592817, "params": [[0.040100000000000004, -0.0051, -0.0219], [-0.0804, -0.0431, -0.0175]], "bitstrings": ["001001010", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005862783151900691, 0.007384432472420957], "optimization_time": 6.361350774765... | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 169.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.00651096302787409) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.00651096302787409) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.00651096302787409) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.00651096302787409) q[2];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
23,
13,
19,
15,
10,
14,
-2,
2,
8
] | 0.977914 | [
-0.00651096302787409,
-1.3030672953464548,
1.350121617930897,
-1.4606460853675483,
-1.755055254032435,
-1.346866722652734,
-1.4301833371395873,
1.2674560608490602,
1.750950960923734,
2.0766284104101964,
1.6707514667144105,
-0.4138703775094488,
0.44449792191987664,
-0.4200048714281165,
-2... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 115 |
c502b67eb6d91d909ba398fa39bec60c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 4}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}, {"source": 4, "target": 3}]} | {"states": [28125, 27869], "expectation_value": -5.785877310167643, "params": [[-0.0016, 1.5048000000000001, 0.0892, 0.0886, 1.385, 0.09330000000000001, 0.1328, 1.3586, 0.08650000000000001, 0.0897, 1.4964000000000002, -0.0029000000000000002, 1.5725, 0.15910000000000002, 1.5758], [1.6878000000000002, 1.5956000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.25 * (Z(3) @ Z(12)) + 0.25 * (Z(4) @ Z(13)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(14)) + 0.5 * (Z(5) @ Z(... | 10 | 15 | 1 | {"smallest_eigenvalues": [-7.999999999999979], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999951, "smallest_bitstrings": ["001001100100010"], "largest_eigenvalue": 24.00000000000013} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIZIIIIIIIIIIIZ",
"IZIIIIIIIIIIIZI",
"IZZIIIIIIIIIIII",
"ZIIIIIIIIIIIZII",
"ZIZIIIIIIIIIIII",
"ZZIIIIIIIIIIIII",
"IIZIIIIIIIIZIII",
"IZIIIIIIIIZIIII",
"IIIIIIIIIIZZIII",
"ZIIIIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.5,
1.5,
1.5,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -8.46834501872435, "params": [0.1073, 0.2566, 0.17800000000000002, 0.24700000000000003, 0.1355, 0.2721, 0.2053, 0.2649, 0.5810000000000001, 0.138, 0.5117, 0.1285, 0.5138, 0.1386, 0.11040000000000001, 0.25680000000000003, 0.1771, 0.2529, 0.14120000000000002, 0.2747, 0.1958, 0.2669... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.09852088117442483) q[0];
rz(0.2464321943833836) q[0];
rx(0.013740361534353596) q[1];
rz(0.12256695080273028) q[1];
rx(0.05080481933461604) q[2];
rz(0.549588069015392) q[2];
rx(0.06690848796093422) q[3];
rz(0.38811176682309867) q[3];
rx(0.877826886335347) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.5,
-3.25,
-3,
-2.75,
-3
] | 0.972546 | [
0.09852088117442481,
0.29714743619100425,
0.013740361534353596,
0.1099884739568158,
0.050804819334616044,
0.589456889889742,
0.06690848796093424,
0.10021892232913784,
0.8778268863353469,
0.10725033732893174,
0.6196906577153632,
0.08294956462237285,
0.6366887474608689,
0.13202917432697883,
... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 12 |
9b6c90aee56ab84919f7c826e678a024 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -7.123170061706766, "params": null, "bitstrings": ["11100", "10110"], "total_optimization_steps": 29, "probabilities": [0.1405844083484402, 0.6434159405450673], "optimization_time": 22.620425701141357} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
2,
1.75,
2,
-2.5,
-2.75,
-3,
-2.5,
-2.25
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
a7fba5c7fdc2a0492603f740d30b0e3e | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [139, 46], "expectation_value": -0.28493246311154896, "params": [[0.0727, 0.06520000000000001, 0.0737], [-0.08070000000000001, -0.06430000000000001, -0.0722]], "bitstrings": ["01110100", "11010001"], "total_optimization_steps": 10, "probabilities": [0.00633583504974974, 0.006335835049749742], "optimization_t... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.6875, "smallest_bitstrings": ["00110110", "00010111", "01110100", "10010011", "10110010", "11010001", "01010101"], "largest_eigenvalue": 5.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIZIIZZ",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIIZZZZ",
"IIIZIZZZ",
"IIIZZIZ... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,... | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
-3907779894903928141 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6, 7], [1, 2, 5, 7], [0, 1, 2, 7], [1, 4, 5, 7], [0, 4, 7], [0, 1, 5, 7], [1, 2, 5, 6], [0, 3], [3, 5, 6], [2, 3, 4], [1, 3, 5], [1, 2, 3]]} | {"states": [234, 238], "expectation_value": -2.7414894353407355, "params": [1.3306, 0.1642, 1.8042, 0.0057, 1.7882, 0.0976, 1.3369, 0.0097, 1.9907000000000001, 0.061700000000000005, 1.1420000000000001, 0.00030000000000000003, 0.0035, 0.7445, -0.0035, 0.0013000000000000002, 2.0364, 0.054, 1.0957000000000001, 0.006900000... | 0.3333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["00010001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.2586570204217706) q[0];
rz(0.13819320527363432) q[0];
rx(1.7582869725360635) q[1];
rz(0.06575207041543774) q[1];
rx(2.0408962414424554) q[2];
rz(-0.06064798019386153) q[2];
rx(0.08134602633402678) q[3];
rz(0.644081782263537) q[3];
rx(2.039574927407256) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIZIII",
"ZZIIIIII",
"ZIIIZIII",
"IZIIIIZI",
"IIIIZIZI",
"ZIIIIIZI",
"IZIIIZII",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IZZIIIII",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIZI",
"IIZIIZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIIZZIII",
"ZIIZIIII",
"IIIZIIZ... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.41666666666666663,
0.25,
0.3333333333333333,
0.25,
0.5,
0.16666666666666666,
0.5,
0.3333333333333... | 0.97276 | [
1.2586570204217704,
0.1511825905896998,
1.7582869725360635,
0.07988429958549996,
2.0408962414424554,
-0.0861066795233699,
0.08134602633402677,
0.7293179132283413,
2.039574927407256,
0.3238543877522477,
1.1637688289380737,
-0.13177638654227808,
1.840947893722037,
0.12369238708293805,
0.34... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 21 |
be7e2cb61602e2e9b2101189bb676973 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [967, 479], "expectation_value": -1.7499348365743714, "params": [[-0.003, -0.0005, 0.7843, 1.5728, 0.0005, -0.0309, -0.7128, -0.0026000000000000003, -0.003, 0.1395], [-1.5719, 0.7803, -0.2817, -1.5705, 0.01, 0.012400000000000001, -1.5873000000000002, -0.0009000000000000001, -0.0013000000000000002, 0.00030000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8... | 9 | 10 | 4 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1000100000"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.393808986005866) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.393808986005866) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.21762855179405002) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.5789097935492629) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIZIIZIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII"... | [
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1,
-0.75,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1,
-0.5,
2,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
-1.25,
0,
0.5,
0.75,
0.5,
-1.25,
1.5
] | 0.465704 | [
-0.393808986005866,
-0.21762855179405002,
-0.420273716133752,
-0.5789097935492629,
0.6353545988654291,
-0.614667344806954,
-0.04122487701570831,
0.11308869142835831,
0.12934103164207297,
0.35391712738102515,
-0.9529131195112988
] | {
"n_parameters": 11,
"n_qubits": 10,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 253 |
-5479358082000095795 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [2, 4, 5], [1, 2, 3], [0, 2, 5], [3, 4], [1, 4, 5]]} | {"states": [53, 58], "expectation_value": -0.031983717389717795, "params": [[-0.0466], [0.059500000000000004]], "bitstrings": ["001010", "000101"], "total_optimization_steps": 10, "probabilities": [0.0161759475750414, 0.01623454657180698], "optimization_time": 0.5891468524932861} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333333, "smallest_bitstrings": ["000101"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06741971565445563) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06741971565445563) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1145198914665358) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.1145198914665358) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x1) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.6666666666666666,
0.3333333333333333,
0.33333333333333... | 0.563426 | [
-0.06741971565445563,
-0.1145198914665358,
-1.4276449491814434,
-1.529614803331631,
0.9195891614297272
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 137 |
501d52bca20eca2710d92d36115a0dbb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [13, 77], "expectation_value": -5.924683346341816, "params": [0.3271, -0.2235, 0.3266, 0.0078000000000000005, -0.0092, 0.3945, -0.013600000000000001, 0.0097, 0.7886000000000001, -0.0032, 0.7871, 0.0083, -0.0109, 0.37770000000000004, -0.0123, 0.008700000000000001, 0.0023, 0.4428, 0.0024000000000000002, 0.0052... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["110110010", "001111001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.6307335927804056) q[0];
rz(-0.4913376360835109) q[0];
rx(-0.051005473063756135) q[1];
rz(0.3323365542155592) q[1];
cx q[1], q[0];
rz(0.16749073403280043) q[0];
cx q[1], q[0];
rx(0.45289030207743053) q[0];
rz(0.14102082030026586) q[0];
rx(0.029099273604539524) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIIIIIZZI",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZIIZI",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-2,
-1.5,
-2.5,
-1.5,
-1.5,
0
] | 0.976505 | [
-0.6307335927804056,
-0.32384690205071154,
-0.051005473063756135,
0.3323365542155592,
1.7224978259876838,
0.04858949173775613,
-0.05961152711989092,
0.7804952428826777,
-0.36402349552153235,
0.07038279070123502,
1.0594039811610272,
-0.2808732163793785,
1.5677523823628567,
0.141140339586246... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 19 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2941, 2933], "expectation_value": -5.122169817468664, "params": [1.6517000000000002, 0.3272, 0.6144000000000001, 0.8158000000000001, 1.6594, 0.42100000000000004, 1.5101, 0.37720000000000004, 0.6408, 0.7526, 1.6313, 0.396, 1.5732000000000002, -0.0066, 1.6168, 0.0029000000000000002, 0.8073, -0.539, 1.4254, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 2 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001010001", "010001100010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
6946fbda84d92871847bf53596399897 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [0, 1], "expectation_value": -6.744929308004141, "params": [[[0.005200000000000001, 0.13140000000000002], [0.3138, 0.0002], [-0.00030000000000000003, 0.23550000000000001], [0.0028, 0.25120000000000003], [0.0039000000000000003, 0.3093], [0.40190000000000003, 0.0036000000000000003]], [[0.0026000000000000003, 0... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.551286213379778) q[0];
ry(0.14995386152144122) q[0];
rz(-1.157952155487887) q[0];
rz(1.7949694323876582) q[1];
ry(0.8600732688310629) q[1];
rz(-1.5619298147562424) q[1];
rz(-1.494414036029636) q[2];
ry(0.25948250070177714) q[2];
rz(2.109430114529392) q[2];
rz(-1.99... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.25,
-0.5,
3,
-0.25,
-1.25,
-0.25,
-1,
0.25,
-0.5,
2.75
] | 0.983075 | [
0.05760476468977301,
0.19533053854689783,
0.2935220690165271,
0.21247908078017866,
-0.33585903240393633,
0.2959684062839665,
-0.34014046378460583,
0.13274283234330986,
-0.10404306296453697,
0.20649247381463964,
0.9880477207375283,
-0.024097524940315328,
0.1102325674469585,
0.19708286430355... | {
"n_parameters": 43,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 8 |
-115130958860663335 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [4, 6], [3, 4], [0, 7], [0, 3], [0, 1], [1, 5], [8, 6], [1, 3], [6, 7], [0, 8], [8, 5], [8, 7], [0, 2], [2, 6], [3, 7], [2, 5], [4, 7], [1, 4], [3, 6], [8, 3]]} | {"states": [227, 284], "expectation_value": -0.22096952218577764, "params": [[0.07680000000000001], [-0.0711]], "bitstrings": ["100011100", "011100011"], "total_optimization_steps": 10, "probabilities": [0.002446804705933895, 0.002446804705933895], "optimization_time": 3.625424385070801} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011100", "011100011"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.4434510928819991) q[3];
cx q[5], q[3];
cx q[3], q[4];
rz(0.4434510928819991) q[4];
cx q[3], q[4];
cx q[5], q[1];
rz(0.4434510928819991) q[1];
cx q[5], q[1];
h q[6];
cx q[3], q[6];
rz(0.4434510928819991)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];... | null | {"circuits": [], "gradients": []} | [
"IIIZIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIZIIZ",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIIIIZZ",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIIZIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.400196 | [
0.4434510928819991,
-1.860111678691712e-8,
-0.6255604817366802
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 87 |
4240333352325895018 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 5, 6, 8], [8, 2], [9, 3, 6], [9, 5, 7], [1, 3, 5, 6, 7, 8, 10], [0, 1, 9], [10, 4, 7], [9, 2], [0, 1, 3, 4, 10], [9, 10, 6, 7], [4, 5], [0, 2], [0, 5, 6, 7], [0, 1, 3, 4, 6]]} | {"states": [1758, 1630], "expectation_value": -3.8393641297884202, "params": [1.8283, -0.041100000000000005, 2.7896, 0.2499, 0.0021000000000000003, 0.8554, 2.8001, 0.7899, 2.7915, 0.7526, 0.4833, 1.0503, 2.6905, -0.0021000000000000003, 2.7688, 0.0033, 2.7554000000000003, 0.0033, 2.7880000000000003, 0.003, -0.002, 0.004... | 0.3 * (Z(0) @ Z(1)) + 0.15714285714285714 * (Z(3) @ Z(1)) + 0.13333333333333336 * (Z(3) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(1)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(3)) + 0.10714285714285715 * (Z(6) @ Z(1)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.2738095238095238 * (Z(6) @ Z(3... | 4 | 11 | 1 | {"smallest_eigenvalues": [-4.242857142857145], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.242857142857144, "smallest_bitstrings": ["00110100001"], "largest_eigenvalue": 11.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.1172743779231307) q[0];
rz(1.4228570267240181) q[0];
rx(2.9292123760461872) q[1];
rz(1.9016893540947049) q[1];
rx(-0.06287315556476876) q[2];
rz(2.1641568960349957) q[2];
rx(-2.9012335479615623) q[3];
rz(2.29976250466554) q[3];
rx(3.0218355426886307) q[4];
rz(2.41... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIZIIIII",
"IIZIZIIIIII",
"IIIIIIIIZIZ",
"IIZIIIIIZII",
"IZIIIIIIIZI",
"IZIIIIIII... | [
0.3,
0.15714285714285714,
0.13333333333333336,
0.05714285714285714,
0.11666666666666667,
0.05714285714285714,
0.10714285714285715,
0.16666666666666669,
0.2738095238095238,
0.14047619047619048,
0.05714285714285714,
0.03333333333333333,
0.05714285714285714,
0.05714285714285714,
0.057142857... | 0.97594 | [
2.1172743779231307,
-0.1479393000708784,
2.9292123760461872,
0.33089302729980785,
-0.06287315556476876,
0.5933605692401,
3.3819517592180244,
0.7289661778706434,
3.0218355426886307,
0.8413508172464718,
-0.001978907311405237,
0.9829033550754546,
2.856531032124235,
-0.005395447125584998,
2.... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -4.242857142857145,
"target_ratio": 0.97,
"target_value": -4.11557142857143
} | 11 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [46, 77], "expectation_value": -0.06084197644510144, "params": [[-0.0646], [0.0639]], "bitstrings": ["1010001", "0110010"], "total_optimization_steps": 10, "probabilities": [0.008657558781575548, 0.00865755878157555], "optimization_time": 2.1502437591552734} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "0110010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIIZ",
"IZIZIIZ",
"IZZIIIZ",
"IZZZIII",
"IZZZIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
d9991d93e92cfaeaa2585f712a637683 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 8}, {"weight": 10, "sourc... | {"states": [397, 205], "expectation_value": -48.18094325370344, "params": [[-0.0315, 0.0852], [0.2232, -0.2419]], "bitstrings": ["001110010", "100110010"], "total_optimization_steps": 30, "probabilities": [0.04278677672148318, 0.04521745356423861], "optimization_time": 3.294055700302124} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 15.0 * Z(1) + 4.5 * Z(0) + 11.0 * Z(2) + 9.5 * Z(4) + 18... | 1 | 9 | 2 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100110010"], "largest_eigenvalue": 156.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.006129333935781692) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.006129333935781692) q[2];
cx q[0], q[2];
rz(1.1409757020802722) q[0];
rx(1.5386717425939063) q[0];
rz(-2.7377098035228085) q[3];
ry(0.07856324305569455) q[3];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15,
4.5,
11,
9.5,
18,
11.5,
1.5,
20,
-5
] | 0.972784 | [
0.006129333935781692,
-1.5843290582013727,
1.1409757020802727,
-1.2188189168731942,
0.9014869796168359,
-1.3798882869894349,
-1.5590421504420908,
1.5035333587111126,
-1.3972240053220277,
1.3382952086199036,
1.5386717425939063,
0.9086402646993121,
2.303411219246973,
-0.3091134794329451,
2... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -75,
"target_ratio": 0.97,
"target_value": -72.75
} | 56 |
572fd0f9ecd1a35670a297ec1414a2ae | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [4095, 4094], "expectation_value": -1.1816377327083465, "params": [[-0.06960000000000001], [0.06470000000000001]], "bitstrings": ["000000000000", "000000000001"], "total_optimization_steps": 10, "probabilities": [0.00042371485877569666, 0.0004313966289336878], "optimization_time": 2.256274700164795} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000001"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0009967498630471911) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-1.4196214864664531) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.002030608971698041) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-1.4196214864664534) q[2];
rx(1.5575... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIIZ... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.666106 | [
0.0009967498630471911,
-1.4196214864664531,
0.002030608971698041,
-0.0004100317735897061,
1.570796129434172,
1.5575851025512184
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 183 |
ca80a1081391714ec98f68c48872633f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 1], "expectation_value": -0.654103916317464, "params": [[0.061200000000000004, 0.057, 0.0275], [-0.062200000000000005, -0.061000000000000006, -0.0337]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012978042582657511, 0.013125866850090125], "optimization_time... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1111110", "1101010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1687906414607295) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03011574609962077) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.07378267174157299) q[5];
cx q[1], q[5];
rz(1.0752020301122274) q[1];
rx(-1.5815568... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.5,
-0.75,
-0.25,
-1.5,
1,
-0.5,
-0.75,
-0.25,
-0.25,
0,
-0.25,
0.25,
0.25,
0.25,
0.25,
-0.75
] | 0.969704 | [
-0.1687906414607295,
0.03011574609962077,
0.07378267174157299,
-0.07442929425137337,
0.14029338596054416,
1.0752020301122276,
1.2905015656937975,
-1.581556863044307,
-0.6601184714021492,
0.18906633086427665,
0.010349996280108478,
0.283721497150828,
1.0085271543039225,
1.5874609337062044,
... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
2420526458700608399 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [1, 3], [2, 5], [0, 3], [0, 4], [3, 5]]} | {"states": [19, 44], "expectation_value": -0.026946206549180535, "params": [[-0.043500000000000004], [0.052000000000000005]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.016191979224106402, 0.016191979224106402], "optimization_time": 0.7430462837219238} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.0, "smallest_bitstrings": ["001100", "001110", "101100", "110001", "110011", "000111", "000110", "010011", "111001", "111000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.7694077936053814) q[1];
cx q[3], q[1];
rz(2.959180367412273e-08) q[1];
rx(0.7853981790170272) q[1];
h q[4];
cx q[4], q[2];
rz(-0.7694077936053814) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(-0.7694077936053814) q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[3], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IZIZII",
"IIZIZI",
"ZIIZII",
"ZIZIII",
"IZIIIZ",
"IIZIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.721325 | [
-0.7694077936053814,
2.959180333497196e-8,
0.7853981790170274
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 88 |
-6498693962628378925 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3], [1, 3], [0, 2, 4], [0, 3, 6], [4, 5], [0, 5], [3, 4], [2, 6], [4, 6], [1, 4], [0, 1]]} | {"states": [90, 92], "expectation_value": -3.084489091100861, "params": null, "bitstrings": ["0100101", "0100011"], "total_optimization_steps": 43, "probabilities": [0.08233784415962961, 0.8424948088529648], "optimization_time": 50.9578492641449} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333332, "smallest_bitstrings": ["0100011"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5828828116842175) q[0];
h q[1];
ry(-0.3730791705665622) q[1];
cx q[0], q[1];
ry(0.3730791705665622) q[1];
cx q[0], q[1];
ry(-0.5766775659359481) q[1];
h q[2];
ry(1.1860772456121123) q[2];
ry(-2.396310345987442) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.3730... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIIZZ",
"IIIZIZI",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIIIZ",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.33333333333333326,
0.5,
0.3333333333333335,
0,
0.16666666666666652,
0.16666666666666674,
... | 0.971111 | [
1.5828828116842175,
-0.7461583411331244,
1.386350804089787,
-0.8712070955391973,
-1.406749842251171,
1.1860772456121123,
0.16596763695492237,
-0.5458997698792122,
0.527840185032664,
-0.4660909728800985,
0.5953476683197624,
0.13360400301041336,
0.3763711007497137,
-0.27352482209897067,
0.... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 15 |
a8cb958af377872a19dc800d4cc03b57 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [0, 1023], "expectation_value": -32.66656753573105, "params": [[[0.0021000000000000003, 1.6126], [0.0019, 0.0021000000000000003], [0.0018000000000000002, 0.0019], [0.0019, 0.0019], [0.0018000000000000002, 0.002], [0.0021000000000000003, 0.0019], [0.0021000000000000003, 0.0019], [0.0023, 0.0021000000000000003... | -3.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(4)) + -2.5 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -2.5 * (Z(1) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(2) @ Z(7)) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.07015272413742143) q[0];
ry(0.011683501795275789) q[1];
ry(0.004086387499378022) q[2];
ry(0.011683501795275789) q[3];
ry(0.004086387499378022) q[4];
ry(0.07015272413742143) q[5];
ry(0.07015272413742143) q[6];
ry(0.1074074928201399) q[7];
ry(0.011683501795275789) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x1) q[3];
ry(x2) q[4];
ry(x0) q[5];
... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"IIZIIIIZII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII"... | [
-3,
-2.5,
-3,
-2.5,
-3,
1.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
-2,
1,
-2,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.985303 | [
0.07015272413742143,
0.011683501795275789,
0.004086387499378022,
0.1074074928201399,
-0.13677814267270483,
2.960127205383185,
-0.03943945222897564,
0.06977933331044484,
0.21086092642550675
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 11 |
-2474318820250223450 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 3], [0, 9, 3, 4], [8, 2, 4, 5], [1, 2, 4], [10, 6], [2, 4, 6], [9, 4, 6], [0, 8, 2, 4], [8, 1, 4, 7], [0, 3, 7], [6, 7], [0, 1, 4, 5], [0, 6], [2, 3, 5], [5, 7], [8, 1, 4, 5], [9, 7], [0, 2, 3, 4], [8, 3]]} | {"states": [667, 1691], "expectation_value": -4.317129485218355, "params": [0.8589, 0.8626, 1.5774000000000001, 1.5805, 0.0039000000000000003, 0.0058000000000000005, 1.5801, 1.5562, 0.2071, 0.2111, 0.6813, 0.6763, 1.5792000000000002, 1.5657, 1.5786, 1.5713000000000001, 0.07010000000000001, 0.0658, 1.3593000000000002, 1... | 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(10) @ Z(4)) + 0.08333333333333333 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.41666666666666663 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(10)) + 0.5 * (Z... | 13 | 11 | 1 | {"smallest_eigenvalues": [-5.333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.333333333333334, "smallest_bitstrings": ["00101100100"], "largest_eigenvalue": 15.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2039634488425808) q[0];
rz(0.019362039569331052) q[0];
ry(1.4520427474537188) q[1];
ry(-0.14109122164975907) q[2];
ry(2.0496731520909504) q[3];
ry(-0.057007161416047884) q[4];
ry(0.01818200234445354) q[5];
ry(1.5389987727563723) q[6];
ry(1.6802482618647614) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIIIIZZ",
"ZIIIIIZIIII",
"ZIIIIIIIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"ZIIIIZIIIII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIZIIIII",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IZIIIIIZIII",
"IIIIZIZII... | [
0.5,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.3333333333333333,
0.25,
0.5,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.58333333333... | 0.971092 | [
1.2039634488425808,
1.4520427474537188,
-0.14109122164975907,
2.0496731520909504,
-0.057007161416047884,
0.01818200234445354,
1.5389987727563723,
1.6802482618647614,
0.13880929722943972,
1.2988789577527882,
1.289497398461309,
0.038724079138662104,
0.7046201713734634,
0.1037180663698278,
... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -5.333333333333336,
"target_ratio": 0.97,
"target_value": -5.173333333333336
} | 12 |
2ad6d55856f69d2786e314d4b42f7213 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 3},... | {"states": [2047, 2046], "expectation_value": -0.9885209462837441, "params": [[-0.0675], [0.0655]], "bitstrings": ["00000000000", "00000000001"], "total_optimization_steps": 10, "probabilities": [0.0007529442580873728, 0.0007663281662578388], "optimization_time": 3.192042350769043} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000001"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8161964773730656) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.17578210453040827) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.8161964773730656) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.17578210453040827) q[3];
cx q[1], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZII... | [
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.507482 | [
0.8161964773730656,
0.17578210453040827,
1.06637342379313,
1.7117605936534868,
1.570796387100777,
0.8946108932270487
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 175 |
16efd0d1722058bdcecd0a47f621047a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [24, 35], "expectation_value": -0.768483917179364, "params": [[0.06570000000000001, 0.0722, 0.061900000000000004], [-0.053500000000000006, -0.0708, -0.0589]], "bitstrings": ["100111", "011100"], "total_optimization_steps": 10, "probabilities": [0.024074124428496785, 0.0272385214277566], "optimization_time": ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
0,
-1
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
1191675002883320459 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 3, 6], [8, 1], [2, 3], [4, 6], [4, 5], [2, 7]]} | {"states": [460, 430], "expectation_value": -1.0993956535095426, "params": [[-0.44830000000000003], [0.4118]], "bitstrings": ["000110011", "001010001"], "total_optimization_steps": 50, "probabilities": [0.011694200988128674, 0.01179631831475373], "optimization_time": 2.1335365772247314} | 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["011001100", "111010000", "010110010", "001010001"], "largest_eigenvalue": 3.5000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(-0.1142794901624397) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(-0.1142794901624397) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(-0.1142794901624397) q[3];
cx q[0], q[3];
cx q[8], q[6];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(x0) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(x0) q[3];
cx q[8], q[3];
cx... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIZI",
"IIIIIZZII",
"IIZIZIIII",
"IIIZZIIII",
"IZIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0
] | 0.650431 | [
-0.1142794901624397,
-1.0947625302156563,
-0.28846914302058296,
0.08818784548486595,
0.7942084124907122
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 125 |
24ec85ceb3f94374e977a871ddcf35bc | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 60], "expectation_value": -3.1321770286570354, "params": null, "bitstrings": ["1001101", "1000011"], "total_optimization_steps": 36, "probabilities": [0.06225990274216573, 0.8457025003025933], "optimization_time": 47.3663010597229} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000011"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5158) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIIZZZ",
"IIIZIZZ",
"IIIZZIZ",
"IIIZZZI",
"IIIZZZZ",
"IIZIIZI",
"IZIIIZI",
"IZZIIII",
"IZZIIZI",
"ZIIIZII",
"ZIZIIII",
"IZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.625,
0.125,
-0.125,
-0.125,
-0.25,
-0.25,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
0ae9b6f2b61290137ab22e2dafb0c164 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [0, 20], "expectation_value": -2.9998646495793175, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 16, "probabilities": [1.9002204009620417e-05, 0.9999182900344906], "optimization_time": 9.069374561309814} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
825abbfffae19b61aa653f6ccd815682 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [371, 115], "expectation_value": -3.335374470290589, "params": [[[0.4685, 0.1019], [0.0053, -0.4058], [0.5938, 0.0115], [0.7005, 0.0013000000000000002], [0.6474000000000001, -0.0021000000000000003], [0.059000000000000004, 0.3259], [0.4091, -0.15030000000000002], [0.6984, -0.0024000000000000002], [0.700900000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(6) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(7) | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["110001100", "011011000", "011001100", "110011000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.4131730337819657) q[0];
ry(2.828606333810421) q[0];
rz(-2.1958251460404163) q[0];
rz(1.971515017770951) q[1];
ry(0.11140386091826704) q[1];
rz(-2.931017332479773) q[1];
rz(-2.063437888347999) q[2];
ry(0.08347182870248973) q[2];
rz(2.7684750802604148) q[2];
rz(-0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"ZIIIIIIZI",
"IIIIIZIZI",
"IIIZIZIII",
"IZIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-2,
-0.5,
-0.5,
0,
-0.5,
-0.5,
0
] | 0.976729 | [
1.5422173558976793,
-0.28926964074073624,
-0.3387857857826054,
0.10125417617619184,
-0.26545858462251426,
0.20405947116090603,
1.3462202917920394,
-0.18568472910196643,
1.1156773765330072,
-0.04069397128049223,
0.1041143129331058,
-0.1846690708463527,
-0.09825964805332073,
-2.0311362295480... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 63 |
f736cdcdd3e9fab7057c0068d5117a32 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "tar... | {"states": [461, 244], "expectation_value": -31.943007162855732, "params": null, "bitstrings": ["000110010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.04759182583258912, 0.11524234187856296], "optimization_time": 176.56593322753906} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 161.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.3305793817029294) q[0];
rz(-pi) q[0];
ry(-1.2125699780875014) q[1];
rz(-pi) q[1];
ry(-1.5549335664366195) q[2];
rz(-pi) q[2];
ry(-2.53423986867924) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-2.5661915813676774) q[4];
h q[5];
ry(0.6647761924313366) q[5];
cx q[5], q[0];
... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1246) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16,
13.5,
13,
19,
17,
11.5,
12,
-3,
-1
] | 0.977128 | [
0.7693130675599309,
21.024634404472,
-25.654894776789906,
6.366464348750739,
0.6647761924313366,
3.0606717175331437,
64.18486109846963,
3.6680103648570657,
63.22011402044469,
20.831575708628794,
6.52012879930155,
-19.17288881744406,
6.194552820481274,
-12.238516215630844,
-18.71943957014... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 214 |
48bc2fe3cb79b98fee18d505d1ebe59b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [32, 48], "expectation_value": -4.010976297017779, "params": [[[1.1953, 0.0023], [1.6999000000000002, 0.009000000000000001], [1.6178000000000001, 0.0032], [0.271, 0.0], [-0.0028, 0.0043], [-0.0035, 0.0068000000000000005], [1.5161, 0.0048000000000000004]]], "bitstrings": ["1011111", "1001111"], "total_optimiz... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110110", "1011011", "0101111", "1100111", "1011110", "0111110", "1001111", "0111101"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIZIZII",
"IZIIZII",
"ZIZIIII",
"ZZIIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-2,
-2,
-1,
-1
] | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [17, 31], "expectation_value": -4.335116996798767, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 51, "probabilities": [0.12902492310277472, 0.45615066958250355], "optimization_time": 42.39816880226135} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.26563194476290347) q[0];
h q[1];
ry(0.46063529140043846) q[1];
h q[2];
ry(0.4160543927876555) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.4160543927876555) q[2];
cx q[4], q[2];
ry(1.6498259376990079) q[4];
cx q[3], q[4];
ry(-1.6498259376990079) q[4];
cx q[3... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5706) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-1,
0.5,
-0.25,
-0.25,
-1.25,
-1.75,
0.5,
-0.25,
-0.75,
0,
1.25,
-0.75
] | 0.970728 | [
0.832108785575311,
3.2996518753980157,
0.9212705828008769,
0.03287511214956562,
3.394820406287191,
-2.3713296475445462,
0.9130008242406561,
-0.23955336433664093,
-0.5312638895258069,
0.3015182015816523,
-0.7704132928114164,
0.6044840534319791,
-0.026283715182854293,
-0.836787649712148,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 236 |
61e72a7f3bba48b5d0ac6a3978f4cc8b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [474, 218], "expectation_value": -11.553801077384854, "params": [[-0.0352], [0.0782]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.003951541438388053, 0.004717153120266627], "optimization_time": 2.0080559253692627} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0483335131627427) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0483335131627427) q[2];
cx q[0], q[2];
rz(1.4825487746828614) q[0];
rx(1.5903212513051308) q[0];
h q[3];
cx q[2], q[3];
rz(0.0483335131627427) q[3];
cx q[2], q[3];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
5,
10.5,
5,
22,
15,
2,
17,
6
] | 0.974572 | [
0.0483335131627427,
-1.4734969215830827,
1.482548774682861,
-1.630158374978085,
-1.5196549872298504,
-1.6812432412868732,
2.1456031315340165,
-1.51463448411913,
1.8480943215643566,
1.5903212513051306
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 49 |
ad0fe7481f54a4d50469fdf40e39612a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": ... | {"states": [0, 256], "expectation_value": -33.50307645052739, "params": [-0.1729, 0.0114, -0.0473, -0.0012000000000000001, 0.0007, 0.29810000000000003, 0.0049, 0.3183, 0.0006000000000000001, 0.3009, 0.0086, 0.1912, 0.39930000000000004, 0.0033, 0.4081, -0.0032, 0.006, 0.27290000000000003, 0.0056, 0.2679, 0.0049, 0.24130... | -1.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(0)) + -1.5 * (Z(11) @ Z(1)) + -1.25 * (Z(11) @ Z(0)) + -2.75 * (Z(11) @ Z(6)) + -0.25 * (Z(11) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(11)) + -2.5 * (Z(5) @ Z(4)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8... | 6 | 12 | 2 | {"smallest_eigenvalues": [-38.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.25, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.043390027374692504) q[0];
rz(1.658289908594508) q[0];
rx(0.1672871067648536) q[1];
rz(1.8298397320928768) q[1];
rx(0.07127756077611802) q[2];
rz(1.8052119267567663) q[2];
rx(0.5854769337798417) q[3];
rz(1.5015126618907306) q[3];
rx(0.040908555887348944) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZIIIZIIIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"ZIIIIIZIIIII",
"IIIIIIZZIIII",
"IIIZZIIIIIII",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IZIIIIIII... | [
-1.5,
-0.5,
-1.5,
-1.5,
-1.25,
-2.75,
-0.25,
-0.5,
-0.5,
-1,
-1.25,
-2.5,
-1.25,
-1,
-0.75,
5,
-1.5,
-1.25,
-0.25,
-0.75,
-1,
-0.5,
-1.25,
-0.5,
-0.25,
-1.25,
-1.75,
-1.5,
-0.25,
-0.25,
-1,
-2,
-1.75,
-0.25,
0.5,
-1.25,
-1.75,
1.5,
0.25,
... | 0.972768 | [
-0.0433900273746925,
0.0874935817996105,
0.16728710676485362,
0.2590434052979803,
0.071277560776118,
0.23441559996186992,
0.5854769337798418,
-0.06928366490416643,
0.04090855588734894,
0.23134838865942672,
-0.11441011439042607,
0.2779754436256155,
-0.14126130851205765,
0.3775768077039269,
... | {
"n_parameters": 101,
"n_qubits": 12,
"optimal_eigenvalue": -38.25,
"target_ratio": 0.97,
"target_value": -37.1025
} | 12 |
833c89e8aca800e5707fb47ea63f9088 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [0, 4], "expectation_value": -2.5196134035896183, "params": [0.0025, 0.0031000000000000003, -0.0027, 0.0059, 1.61, 0.0053, 0.0024000000000000002, 0.0039000000000000003, 0.0023, 0.0047, 0.0047, 0.007200000000000001, 0.0029000000000000002, 0.0038, 0.007500000000000001], "bitstrings": ["11111", "11011"], "total... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) | 18 | 5 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
0,
-0.75,
-0.75
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
b35b67be6f13e1c7d0fe900b84e9f3d0 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [90, 83], "expectation_value": -4.999144849564495, "params": null, "bitstrings": ["0100101", "0101100"], "total_optimization_steps": 36, "probabilities": [0.06552939467911352, 0.9338659442782039], "optimization_time": 40.019774436950684} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101100", "0100101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.1044154877547934) q[0];
ry(-0.14624712835197728) q[1];
rz(-pi) q[1];
h q[2];
ry(1.517125227600992) q[2];
h q[3];
ry(-0.46439454295052995) q[3];
h q[4];
ry(-1.658138407290251) q[4];
h q[5];
ry(1.517125227600992) q[5];
h q[6];
cx q[6], q[3];
ry(0.46439... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"ZIZIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5,
-0.5
] | 0.993886 | [
-1.658138407290251,
-1.3759637991255074,
1.517125227600992,
-0.9287890859010599,
0.5798954614756153,
-0.5155606941877574,
0.49240477016956247,
-0.38839652885064646,
0.12744775508000605,
-0.18718229301267325,
0.18169653005780909,
0.1441821903289413,
0.11969662451446915,
0.2736294279178377,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
a9cd4aa12f7ca1827a702e44ce491a57 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 362], "expectation_value": -29.29924016928762, "params": [0.7008, 0.19590000000000002, 0.5305, 0.23270000000000002, 0.7026, 0.0045000000000000005, 0.6955, 0.3299, 0.4731, 0.3144, 0.7009000000000001, 0.1365, 0.4757, 0.23770000000000002, 0.7057, 0.0078000000000000005, -0.0019, 0.4506, 0.6984, 0.2142, 0.5... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(7)) + 3.0 * Z(1) + 9.5 * Z(2) + 6.5 * Z(0) + 1.0 * Z(4) + 2.0 * Z(3) + 9.0 * Z(5) + 1.5 * Z(6) + 7.5 * Z(7) + -6.0 * Z(8) | 18 | 9 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 86.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.9457015692349091) q[0];
rz(0.05487930358765958) q[0];
rx(-0.13183412057888566) q[1];
rz(0.25955422943956297) q[1];
rx(0.9409301754323395) q[2];
rz(-0.03004746286508004) q[2];
rx(0.8345930972729361) q[3];
rz(0.28445891982311877) q[3];
rx(0.13094636004377458) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
3,
9.5,
6.5,
1,
2,
9,
1.5,
7.5,
-6
] | 0.973309 | [
0.9457015692349091,
0.23518599471644192,
-0.13183412057888566,
0.25955422943956297,
0.9409301754323395,
-0.03004746286508004,
0.8345930972729361,
0.28445891982311877,
0.13094636004377458,
0.7008048718324348,
0.999847379230031,
0.2606680517301703,
-0.005402486585634067,
-0.280952763461373,
... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 23 |
b9d8dea3f34f04a0eee6c2744dd91d55 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [40, 168], "expectation_value": -5.901126691512715, "params": [[[1.3828, -0.1496, 0.0043, 0.0061], [1.0953000000000002, 0.3401, 0.5496, 0.40340000000000004], [0.4007, 0.23190000000000002, 0.3148, -0.056900000000000006], [0.0089, -0.5602, -0.27540000000000003, -0.0902], [1.4241000000000001, 0.0147000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) ... | 11 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["10101110", "01011011", "01010111", "01111001", "10101011"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.2075886376122766) q[0];
rz(-0.03313479607180633) q[0];
ry(1.2916094343150617) q[1];
rz(0.5782255604835214) q[1];
cx q[1], q[0];
ry(1.2248948240201294) q[0];
rz(0.6922526688983794) q[0];
ry(0.22335462729457334) q[1];
rz(0.48906483476460494) q[1];
ry(0.38643056615086... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"ZIIIIZII",
"IZIIIIZI",
"IZIIZIII",
"ZZIIIIII",
"IZIIIZII",
"IIIZZIII",
"ZIIZIIII",
"IZIZIIII",
"ZIZIIIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIZIIII",
"IIZIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-2,
-1.5,
-2,
-1.5,
-0.5
] | 0.971908 | [
1.2075886376122766,
-0.03313479607180633,
1.2916094343150617,
0.5782255604835214,
0.386430566150867,
-0.15221201334656353,
-0.04124441254771395,
-0.35641026345124255,
1.568580628566744,
-0.08433520014456056,
0.654783896207579,
0.11718463650788713,
0.007996734708770844,
-0.4780482555688207,... | {
"n_parameters": 111,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 52 |
5293517756546958523 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 6, 7, 8], [1, 2, 3, 6, 7, 8, 9], [8, 2, 4, 7], [0, 1, 4, 5, 7, 8, 9], [0, 2, 3, 4, 6, 7], [0, 2, 3, 4, 5, 6, 9], [2, 5, 7, 8, 9], [0, 1, 2, 5, 6, 7, 8], [2, 3, 4, 5, 8, 9], [0, 1, 3, 5, 6, 7, 9], [0, 1, 2, 4], [9, 2, 5, 1], [0, 2, 3, 7, 9], [1, 2, 3,... | {"states": [869, 871], "expectation_value": -3.2260365996100724, "params": [[[3.1441000000000003, 0.0043], [2.6575, 0.007], [0.7693, 0.0008], [3.1447000000000003, 0.0006000000000000001], [3.1391, 0.009300000000000001], [0.7832, 0.0056], [0.8054, 0.008], [3.1436, 0.0028], [1.5741, 0.0048000000000000004], [3.1442, 0.0091... | 0.22857142857142854 * (Z(0) @ Z(1)) + 0.3714285714285714 * (Z(2) @ Z(1)) + 0.28809523809523807 * (Z(2) @ Z(0)) + 0.17857142857142858 * (Z(3) @ Z(1)) + 0.20476190476190476 * (Z(3) @ Z(0)) + 0.2714285714285714 * (Z(3) @ Z(2)) + 0.22857142857142854 * (Z(6) @ Z(1)) + 0.17857142857142855 * (Z(6) @ Z(0)) + 0.1785714285714285... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.7095238095238083], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6619047619047613, "smallest_bitstrings": ["0010011000"], "largest_eigenvalue": 18.99999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.1140770646772093) q[0];
rz(0.11847049369886407) q[0];
rx(3.1271474304791744) q[1];
rz(0.09744379099462655) q[1];
rx(0.2750482873515417) q[2];
rz(-0.26353384675557956) q[2];
rx(3.1460436337165594) q[3];
rz(0.0078093562853280285) q[3];
rx(3.268244305426536) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIIZIII",
"IZIZIIIIII"... | [
0.22857142857142854,
0.3714285714285714,
0.28809523809523807,
0.17857142857142858,
0.20476190476190476,
0.2714285714285714,
0.22857142857142854,
0.17857142857142855,
0.17857142857142855,
0.12857142857142856,
0.2261904761904762,
0.22857142857142854,
0.28809523809523807,
0.2285714285714286,
... | 0.971458 | [
3.1140770646772093,
0.11847049369886407,
3.1271474304791744,
0.09744379099462655,
0.2750482873515417,
-0.26353384675557956,
3.1460436337165594,
0.0078093562853280285,
3.268244305426536,
0.2842930314424019,
0.34134838781033777,
-0.3032280813767352,
0.44454471937490414,
-0.030549260001040503... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -3.7095238095238083,
"target_ratio": 0.97,
"target_value": -3.598238095238094
} | 11 |
d081b5ece414d97b04408b0b42241cfc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1742, 1551], "expectation_value": -5.046597978433528, "params": [[0.06860000000000001, 0.063, 0.0459], [-0.064, -0.064, -0.055200000000000006]], "bitstrings": ["00100110001", "00111110000"], "total_optimization_steps": 10, "probabilities": [0.0012958073490729441, 0.0013144430025340608], "optimization_time":... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 1 | 11 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"], "largest_eigenvalue": 36.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.5886822951887793) q[0];
rz(0.06203987904640096) q[0];
rx(0.3684099261178423) q[1];
rz(0.3348218640846716) q[1];
rx(0.008886848508656647) q[2];
rz(0.15365930854882714) q[2];
rx(0.2789766364531309) q[3];
rz(-0.20477518601672084) q[3];
rx(0.030111471164943775) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IIZIIIIIZII",
"IIIZIIIZIII",
"IIIIIIIZZII",
"IIZIIIIZIII",
"IIIZIIZIIII",
"IIIIIIZIZII",
"IIZIIIZIIII",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIIIZIIZII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIZII... | [
0.375,
0.5,
1,
0.5,
0.5,
0.375,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
2,
-0.5,
-0.5,
-1,
0.75,
0.75,
3.5,
0.75,
3.5,
0.75,
0.5,
-1,
4,
8,
-1.5
] | 0.973976 | [
0.5886822951887795,
0.08596177347016964,
0.36840992611784235,
0.15047685235525898,
0.008886848508656647,
0.2981601685176529,
0.27897663645313087,
-0.05594064637820155,
0.03011147116494378,
-0.003248166825648227,
-0.012056173888535658,
-0.17191262332465457,
0.08692174155409721,
-0.351149555... | {
"n_parameters": 153,
"n_qubits": 11,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 12 |
67c6f559915de0df58f5c334e561be87 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 2, "target": 7}, {"sour... | {"states": [340, 348], "expectation_value": -5.017673465628802, "params": [[1.0676, -0.0045000000000000005, 1.0671000000000002, -0.0025, 1.3914, 0.49160000000000004, 1.3865, -0.0017000000000000001, -0.0016], [1.0348, -0.005, 1.0503, -0.0026000000000000003, 0.7019000000000001, 0.057100000000000005, 0.7033, -0.0023, -0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + -0.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(7) + -1.5 * Z(8) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(4) + 0.0... | 10 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["010100011", "001100011"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.1835596990267192) q[0];
ry(0.023135344962803533) q[1];
ry(1.1560030582839549) q[2];
ry(-0.03989333975609878) q[3];
ry(1.6788170832018219) q[4];
ry(0.7419739500491032) q[5];
ry(1.5311503636848678) q[6];
ry(-0.027652395918493507) q[7];
ry(0.07461502761308478) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIIZZIII",
"ZIIIZIIII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1.5,
-1,
0,
-0.5,
0,
0
] | 0.97164 | [
1.1835596990267192,
0.023135344962803533,
1.1560030582839549,
-0.03989333975609878,
1.6788170832018219,
0.7419739500491032,
1.5311503636848678,
-0.027652395918493507,
0.07461502761308478,
1.0369658670598971,
-0.04205818768979369,
1.2256864860576293,
0.018933841823563113,
0.4338859802268916... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 13 |
86e86a0eab685a9f3df3146e6295601e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target":... | {"states": [523, 779], "expectation_value": -5.685376225073018, "params": [0.9055000000000001, 0.902, 0.8532000000000001, 0.8611000000000001, -0.0005, -0.0035, 0.6880000000000001, 0.6906, -0.00030000000000000003, 0.0015, 0.06910000000000001, 0.062200000000000005, 0.9026000000000001, 0.9029, 0.0034000000000000002, 0.002... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011110100", "0110110100"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.954163641863392) q[0];
rz(pi/2) q[0];
ry(1.8868147246672637) q[1];
ry(0.1698541844422713) q[2];
ry(-0.03184031517753741) q[3];
ry(-0.08616782081574595) q[4];
ry(-0.048943255296509516) q[5];
ry(1.291463624119211) q[6];
ry(0.14379703328005164) q[7];
ry(1.34760752219... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIZIZIIIII",
"IIZIIIIIZI",
"IIIIZIIZII",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIIZIIIZII",
"IZZIIIIIII",
"IZIIIIIZII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
-1,
-1.5,
-2,
-2,
-1,
-0.5,
-0.5
] | 0.97242 | [
1.954163641863392,
1.8868147246672637,
0.1698541844422713,
-0.03184031517753741,
-0.08616782081574595,
-0.048943255296509516,
1.291463624119211,
0.14379703328005164,
1.34760752219745,
1.1521450232221009,
1.0019930990101598,
1.2798410888252367,
-0.7261213230938206,
0.0854845229417041,
-0.... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 27 |
-3343513513829259390 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3, 4, 5, 7, 8, 9, 10], [0, 1, 2, 4, 5, 7, 8, 9, 10], [0, 2, 5, 7, 8, 9, 11], [0, 2, 3, 4, 5, 6, 7, 8, 11], [1, 3, 5, 6, 7, 8, 9, 10, 11], [2, 3, 4, 5, 8, 9, 10, 11], [1, 3, 4, 5, 6, 7, 8, 11], [2, 4, 5, 6, 9, 11], [1, 2, 3, 4, 9, 10, 11], [1, 2, 3, 4,... | {"states": [3027, 4051], "expectation_value": -4.0413434728583395, "params": [1.582, 1.5551000000000001, 0.8164, 0.8245, 1.5682, 1.5687, 1.5682, 1.5672000000000001, 1.5697, 1.5674000000000001, 1.5812000000000002, 1.5669000000000002, 0.0347, 0.034, 1.5333, 1.3864, 0.0212, 0.0233, 0.0026000000000000003, 0.0032, 1.5484, 1... | 0.13888888888888887 * (Z(1) @ Z(3)) + 0.1527777777777778 * (Z(4) @ Z(3)) + 0.18650793650793648 * (Z(4) @ Z(1)) + 0.11904761904761904 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.21785714285714283 * (Z(5) @ Z(4)) + 0.10515873015873015 * (Z(7) @ Z(3)) + 0.15476190476190474 * (Z(7) @ Z(1)) + 0.138492063492063... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.105952380952379], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.054761904761903, "smallest_bitstrings": ["000000101100"], "largest_eigenvalue": 22.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4795063333380307) q[0];
rz(-0.04342664808260367) q[0];
ry(0.9453207037106667) q[1];
ry(1.5291798763133035) q[2];
ry(1.5291798763133035) q[3];
ry(1.5122711767240409) q[4];
ry(1.5769490288753796) q[5];
ry(0.16550331949232802) q[6];
ry(1.5934534805169787) q[7];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZI",
"IIIIIIIZZIII",
"IIIIIIIZIIZI",
"IIIIIIZIZIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIZIIIZIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IIZIIIIIZIII",
"IIZIIIIIIIZI",
"IIZIIIIZI... | [
0.13888888888888887,
0.1527777777777778,
0.18650793650793648,
0.11904761904761904,
0.16666666666666666,
0.21785714285714283,
0.10515873015873015,
0.15476190476190474,
0.13849206349206347,
0.19007936507936507,
0.1369047619047619,
0.1706349206349206,
0.2333333333333333,
0.21388888888888888,
... | 0.982131 | [
1.4795063333380307,
0.9453207037106667,
1.5291798763133035,
1.5122711767240409,
1.5769490288753796,
0.16550331949232802,
1.5934534805169787,
-0.03223816502834681,
-0.08685329616520734,
1.320686448214175,
1.5321425406531646,
-0.07818433190118373,
0.9800298353410717,
-1.108988259613778,
0.... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -4.105952380952379,
"target_ratio": 0.97,
"target_value": -3.982773809523808
} | 1 |
e72ecea678989eec924d7e1b79176beb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [70, 511], "expectation_value": -0.09777044393303055, "params": [[0.0057, 0.2005, 0.0049, 0.009000000000000001, 0.0021000000000000003, 0.0038, 0.0064, 0.007200000000000001, 0.198, 0.0098], [0.0033, 0.2, -0.0018000000000000002, 0.0098, 0.0067, 0.0025, 0.002, 0.002, 0.1978, 0.0082]], "bitstrings": ["1110111001... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9... | 9 | 10 | 2 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.7224572709532883) q[0];
h q[0];
rx(1.570796247276... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIZIIIZII",
"IZIIIIZIII"... | [
-0.75,
-1.25,
-0.25,
-0.5,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
3.75,
-0.5,
-0.5,
-1.25,
-1.25,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-0.75,
-1.75,
-0.25,
-1,
-0.5,
1.25,
-0.25,
0,
-2.5,
0.75,
0.5,
0,
-1.25,
0.5,
1
] | 0.126582 | [
0.7224572709532883,
1.5707962472760184,
-0.7412410420022001,
-0.26019260835917546,
-0.2768573823525529,
0.12656278129947215,
0.12651672998882602,
0.8502415966308584,
1.57079623009043,
0.053185711379474594,
-0.19994919917546483,
1.5707962731358462,
-1.173977510197994e-7,
-0.0897681624066922... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 376 |
-4697285327909507156 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [6, 7], [8, 2, 4, 7], [0, 1, 3, 4, 5, 6, 8], [0, 1, 7], [1, 2, 3, 5, 7], [2, 4, 5, 6]]} | {"states": [123, 315], "expectation_value": -2.090903418948817, "params": null, "bitstrings": ["110000100", "011000100"], "total_optimization_steps": 57, "probabilities": [0.05244401617971284, 0.8997115465562459], "optimization_time": 164.3879325389862} | 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.023809523809523808 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.023809523809523808 * (Z(8) @ Z(0)) + 0.023809523809523808 * (Z(8) @ Z(6)) + 0.08333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.140476190476191], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["011000100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.20547992343903995) q[1];
h q[2];
ry(-0.4161333281691563) q[2];
cx q[0], q[2];
ry(0.4161333281691563) q[2];
cx q[0], q[2];
ry(1.0587625047129507) q[0];
ry(-0.31783249640056144) q[2];
ry(-2.2150929496612792) q[3];
rz(-pi) q[3];
h q[4];
ry(1.039804995... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.3266) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZIIZI",
"... | [
0.5,
0.08333333333333333,
0.023809523809523808,
0.13333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.023809523809523808,
0.023809523809523808,
0.08333333333333333,
0.16666666666666666,
0.023809523809523808,
0.10714285714285714,
0.08333333333333333,
0.10714285714285714,
... | 0.97602 | [
1.2806822408250766,
-1.1708187016872802,
1.150845141629311,
1.0398049952900905,
-0.8322666563383126,
0.8635984181010599,
-0.6356649928011229,
0.3903281732237819,
-0.206064968832226,
0.44052460863005755,
-0.46589249343274,
0.08923894530050204,
0.3296619335961657,
0.49258821177162304,
-0.4... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -2.140476190476191,
"target_ratio": 0.97,
"target_value": -2.076261904761905
} | 3 |
5144181ac27497fdfa9bdb5b8b799630 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -1.4960387657262855, "params": null, "bitstrings": ["10", "11"], "total_optimization_steps": 3, "probabilities": [0.003959394488014906, 0.9960387873231064], "optimization_time": 0.4699392318725586} | 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1) | 1 | 2 | 4 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["11"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\nry(-1.5681) q[0];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = mea... | [
"ZZ",
"IZ",
"ZI"
] | [
0.5,
-1,
-1
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
2782377586474911333 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5, 6], [8, 2, 7], [5, 7], [0, 2], [1, 2, 4, 5], [8, 1], [1, 3, 5]]} | {"states": [242, 121], "expectation_value": -0.6363445347789755, "params": [[-0.27390000000000003], [0.27740000000000004]], "bitstrings": ["100001101", "110000110"], "total_optimization_steps": 30, "probabilities": [0.005167121556158127, 0.005181195287091654], "optimization_time": 5.476963520050049} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.666666666666666, -2.666666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["100001001", "110000110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.08717396978563909) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.08717396978563909) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.08717396978563909) q[5];
cx q[2], q[5];
h q[6];
cx q[4], q[6];
rz(0.00612124511... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZII",
"IIIZZIIII",
"IIIZIIZII",
"IIZIZIIII",
"IIZIIIZII",
"IIZZIIIII",
"ZIIIIIZII",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.166666666... | 0.652028 | [
-0.08717396978563909,
0.006121245113913856,
-1.521592089351952,
-0.023036542447408322,
-1.4701594435679426,
0.029337016549537645,
-1.5866727894238424,
-0.03072211185327921,
0.05990971297302974,
0.8156968905023204
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -2.666666666666666,
"target_ratio": 0.97,
"target_value": -2.586666666666666
} | 254 |
1fec22243d8755f8fc709acb670af797 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [190, 158], "expectation_value": -75.99149795814714, "params": [0.0008, 0.467, 0.787, -0.1091, 0.12860000000000002, -0.3327, 0.3669, 0.21430000000000002, 0.7868, -0.0026000000000000003, 0.5117, 0.1774, 0.7839, -0.0053, 0.7943, 0.1618, 0.1653, 0.3496, 0.0054, 0.5019, 0.7893, -0.1427, 0.1296, -0.35250000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(6)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(8)) + 15.0 * Z(1) + -4.5 * Z(0) + 2.0 * Z(2) + 10.0 * Z(3) + 1... | 18 | 9 | 4 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["101100001"], "largest_eigenvalue": 148.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10264767797060519) q[0];
rz(0.17306870789103357) q[0];
rx(0.734858770007821) q[1];
rz(0.0068397364218209245) q[1];
rx(0.09748963991164916) q[2];
rz(-0.28016552190882626) q[2];
rx(0.30103955034398416) q[3];
rz(0.24004114019187728) q[3];
rx(0.6190113005343338) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIZIIZIII",
"IIIIZZIII",
"IIZIZIIII",
"IIIZIZIII",
"IIZZIIIII",
"IIIZZIIII",
"ZIIIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
15,
-4.5,
2,
10,
13,
21,
11.5,
2.5,
11.5
] | 0.97647 | [
-0.10264767797060519,
0.3470383564594065,
0.734858770007821,
0.0068397364218209245,
0.09748963991164916,
-0.28016552190882626,
0.30103955034398416,
0.24004114019187728,
0.6190113005343338,
0.13802618910769865,
0.9733726768192857,
-0.10868159016244008,
0.789511618050386,
-0.0692191115349808... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 9 |
6930813728214232413 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [3, 5], [0, 5, 6], [2, 3, 4, 6], [2, 5]]} | {"states": [89, 121], "expectation_value": -1.6505038952838886, "params": null, "bitstrings": ["0100110", "0000110"], "total_optimization_steps": 48, "probabilities": [0.08656313715086007, 0.7855522674666422], "optimization_time": 53.75032114982605} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0000110"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.8597287060082355) q[0];
rz(-pi) q[0];
ry(-2.1519355610592488) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.5238393366384398) q[4];
h q[5];
ry(-0.2912597283885975) q[5];
cx q[3], q[5];
ry(0.2912597283885975) q[5];
cx q[3], q[5];
ry(-0.2687616639817444) q[5];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.1408) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.0... | 0.971304 | [
1.3378899803775661,
-0.582519456777195,
1.5247121902195953,
-0.5375233279634888,
1.1738316479087147,
-0.7153876324036403,
-0.010186408451959665,
1.1117204636790237,
0.23408548018727227,
-0.3918147163391917,
0.3544238310686308,
-1.0476786732768797,
-0.5402331754411949,
0.31623811513795724,
... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 19 |
0850e29522f021e32579dc334d85e860 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": ... | {"states": [0, 264], "expectation_value": -24.296441579075356, "params": [0.0025, 0.43470000000000003, 0.001, 0.0067, 0.0023, 1.8532000000000002, 0.002, 0.0059, 0.0023, 1.8806, 0.0021000000000000003, 0.0055000000000000005, -1.0579, 0.044000000000000004, 1.0195, 0.0002, 0.0024000000000000002, 1.6900000000000002, 0.00260... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(6)) + -0.25 * (Z(11) @ Z(4)) + -1.0 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(6)) + -0.25 * (Z(9... | 6 | 12 | 1 | {"smallest_eigenvalues": [-25.5, -25.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -24.5, "smallest_bitstrings": ["111011110101", "111011110111"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.0356576728469645) q[0];
rz(2.1933690433154984) q[0];
rx(0.043305228017023314) q[1];
rz(-3.0135105459137863) q[1];
rx(0.04330522801702331) q[2];
rz(-2.792620041059708) q[2];
rx(-1.8649956747532443) q[3];
rz(1.34069012422564) q[3];
rx(-0.007285967940362541) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIIIIIIIZZI",
"IIIIIZIIIZII",
"ZIIIIIIZIIII",
"ZIIIIIZIIIII",
"ZIIIIZIIIIII",
"IIZIIIIIIIZI",
"IIZIIZIIIIII",
"ZIZIIIIIIIII",
"IZIIIZIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
-0.75,
-1.25,
-1,
-0.5,
-1.25,
-0.25,
-0.75,
-1.5,
-0.25,
-1,
-1,
-0.25,
-1,
-1.5,
-0.75,
-1.25,
-0.5,
-1.25,
-1.5,
-0.5,
-1,
-0.5,
-1,
1.75,
-0.25,
-1.5,
3.5,
-0.25,
-1.5,
-1,
2.5,
-2.5,
-3.5,
-2.75,
-1,
2.5,
4,
0
] | 0.97121 | [
0.0356576728469645,
0.6225727165206019,
0.043305228017023314,
1.6988784344709034,
1.9197689393249813,
-1.8649956747532441,
-0.23010620256925718,
-0.007285967940362542,
1.6560612151457466,
1.7390632523033878,
-0.035427448272039704,
1.7464415332933005,
0.08956193821743699,
1.4411445446978155... | {
"n_parameters": 53,
"n_qubits": 12,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 27 |
cc89497833504b7849e07f8e2862e02c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [335, 327], "expectation_value": -77.54671885905812, "params": [2.9002000000000003, 0.0001, 0.9406, 0.0066, 2.8975, 0.002, -0.0029000000000000002, 0.0031000000000000003, -0.0019, 0.0063, 1.4887000000000001, 0.0043, 2.9075, 0.0059, 2.8943000000000003, 0.0059, 2.8935, 0.0066, 0.006500000000000001, 0.0082, 0.00... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(6)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(7)) + 13.5 * Z(2) + 4.0 * Z(1) + 27.5 * Z(0) + -2.5 * Z(4) + 6... | 18 | 9 | 1 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 159.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.0838302050962376) q[0];
rz(-0.33763388214114487) q[0];
rx(0.6062285710444959) q[1];
rz(-0.006748405626452542) q[1];
rx(3.149952334508975) q[2];
rz(0.06549922444059615) q[2];
rx(0.05657890541563115) q[3];
rz(0.09040272094446254) q[3];
rx(0.2969935120027983) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIZIZII",
"IIZIIZIII",
"IIIZIIIIZ",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
13.5,
4,
27.5,
-2.5,
6,
-5.5,
14,
15,
15.5
] | 0.970629 | [
3.0838302050962376,
-0.18220512378432688,
0.6062285710444959,
-0.006748405626452542,
3.149952334508975,
0.06549922444059615,
0.05657890541563115,
0.09040272094446254,
0.2969935120027983,
0.04900823350260851,
0.37989213416339274,
0.35733013555576265,
3.0428057298106017,
0.22232006878295751,... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 11 |
5442278369559804901 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [3, 6], [0, 4], [0, 6], [5, 7], [2, 5], [0, 1], [1, 4], [4, 7], [1, 6], [6, 7], [2, 6], [0, 5], [1, 7], [2, 3], [0, 2]]} | {"states": [209, 241], "expectation_value": -3.5650658448460075, "params": null, "bitstrings": ["00101110", "00001110"], "total_optimization_steps": 70, "probabilities": [0.31157662719524865, 0.3197264448464844], "optimization_time": 100.54980421066284} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.0, "smallest_bitstrings": ["00101110", "11010001", "10110001", "01001110", "10010001", "01101110", "00001110", "11110001"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.7125723068997947) q[0];
h q[1];
ry(0.7623520706516765) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.0750459932164895) q[4];
h q[5];
ry(-0.8229133526646654) q[5];
h q[6];
ry(-0.0750459932164895) q[6];
cx q[3], q[6];
ry(0.0750459932164895) q[6];
cx q[3], q[6];
ry(-0.6... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIZZIII",
"IZIIZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIZIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZZII",
"IZIIIZII",
"IIIIIZIZ",
"IIZIIZII",
"IIIZIIZI",
"IZIIIIZI",
"IIIIIIZZ",
"ZIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.978411 | [
-0.150091986432979,
1.4220911187234806,
1.524704141303353,
-1.230734563055811,
-0.76060100204803,
1.3234691287675682,
-1.6458267053293307,
1.4251446137995893,
-0.7242917243726007,
0.2986902792378079,
-0.18994590765364644,
0.15183313460294692,
-0.46017602841002037,
-0.6090918785056351,
-0... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 14 |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [74, 91], "expectation_value": -6.1406295786935745, "params": null, "bitstrings": ["10110101", "10100100"], "total_optimization_steps": 63, "probabilities": [0.10520568084598521, 0.7250061271220744], "optimization_time": 69.04727554321289} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.757060425932339) q[0];
h q[1];
ry(0.5571476883083074) q[1];
h q[2];
ry(-0.7757331894833571) q[2];
h q[3];
ry(0.5571476883083074) q[3];
h q[4];
h q[5];
cx q[5], q[1];
ry(-0.5571476883083074) q[1];
cx q[5], q[1];
ry(-0.45153744158202225) q[5];
h q[6];
ry(1.5... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIZIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ"
] | [
-0.5,
0.5,
-0.5,
-1,
2,
-1,
-0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
1.5,
-0.5,
3,
0.5,
0,
0.5,
-1.5
] | 0.970262 | [
1.551025847539175,
1.1142953766166148,
-1.514120851864678,
-0.9030748831640445,
1.0604963305167354,
1.1320609964259831,
0.4832606820012933,
-1.2695992048912437,
-1.5514663789667142,
0.7560951237958784,
0.6790527832433262,
0.2954535073205394,
0.22125758791669647,
-0.13766859132785303,
-0.... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [2, 3], "expectation_value": -23.828179290653665, "params": [[[0.18860000000000002, 0.007500000000000001], [1.5242, 0.001], [0.3871, 0.0035], [0.4484, 0.00030000000000000003], [0.3065, 0.0032], [1.5966, 0.0014], [1.5954000000000002, 0.0098]]], "bitstrings": ["1111101", "1111100"], "total_optimization_steps":... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.33842977011630987) q[0];
rz(-0.1108368416663894) q[0];
rx(0.3147269537321503) q[1];
rz(0.4403416265327494) q[1];
rx(-0.051370858575326604) q[2];
rz(-0.22672638531976275) q[2];
rx(0.03931970306589702) q[3];
rz(0.9073276713830547) q[3];
rx(0.0661833452113321) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
-10,
-10.5,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.976782 | [
-0.33842977011630987,
-0.1108368416663894,
0.3147269537321503,
0.4403416265327494,
-0.051370858575326604,
-0.22672638531976275,
0.03931970306589702,
0.9073276713830547,
0.0661833452113321,
-0.5231724704730886,
2.88377300871935,
-1.119200286847717,
2.8464014046151784,
-0.7664925011163902
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 16 |
4344d429d7a0da513935232b485c679c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [329, 331], "expectation_value": -115.57364754458146, "params": [[-0.0027, -0.049300000000000004, 0.7926000000000001, 0.051500000000000004, 0.7853, 0.002, -0.0034000000000000002, 0.8188000000000001, 0.058300000000000005, 0.4746, 0.4581], [-0.0023, -0.1057, 0.7883, -0.061500000000000006, 0.7859, 0.0023, 0.003... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(9) @ Z(10)) + 14.5 * Z(2) + -3.0 * Z(1) + 2.0 * Z(3) + 15.5 * Z(4) + -6.0 * Z(5) + 9.5 * Z(7) + -7.5 * Z(6) + 9.... | 10 | 11 | 3 | {"smallest_eigenvalues": [-124.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -111.0, "smallest_bitstrings": ["11010110100"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.08689989042482833) q[0];
ry(-0.21704181223293909) q[1];
ry(0.6489560788329752) q[2];
ry(-0.017557477427480726) q[3];
ry(0.6143364369958069) q[4];
ry(0.030643252475476515) q[5];
ry(-0.0017631771297705618) q[6];
ry(0.7415958243306762) q[7];
ry(-0.050171703933573085)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"ZIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
14.5,
-3,
2,
15.5,
-6,
9.5,
-7.5,
9,
7.5,
8.5,
-15
] | 0.975157 | [
0.08689989042482833,
-0.21704181223293909,
0.6489560788329752,
-0.017557477427480726,
0.6143364369958069,
0.030643252475476515,
-0.0017631771297705618,
0.7415958243306762,
-0.050171703933573085,
0.4316076584928466,
0.34453346818554575,
-0.09894093282231683,
0.0195702186702203,
0.8399896680... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -124,
"target_ratio": 0.97,
"target_value": -120.28
} | 13 |
d55d504e597705d8581d37ec0d2e41ca | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [45, 63], "expectation_value": -4.247536484564604, "params": null, "bitstrings": ["1010010", "1000000"], "total_optimization_steps": 53, "probabilities": [0.2457050176544659, 0.7519615756918091], "optimization_time": 51.60922050476074} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6828792687147329) q[0];
h q[1];
ry(1.5288445153467216) q[1];
h q[2];
h q[3];
ry(1.5288445153467216) q[3];
h q[4];
ry(1.4916621282624816) q[4];
h q[5];
ry(0.7458310641312408) q[5];
cx q[2], q[5];
ry(-0.7458310641312408) q[5];
cx q[2], q[5];
ry(0.59828678975... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
0.75,
0.25
] | 0.989602 | [
1.5288445153467216,
1.4916621282624816,
1.550097850061895,
-1.3657585374294658,
1.196573579508862,
0.11369926623801563,
-0.014047065055423413,
0.09207660432302629,
-0.10038361002430576,
0.08382100900060677,
0.15687837360702134,
-0.10724578865064746,
0.0600104112675679,
0.05940034969983188,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [61051, 60795], "expectation_value": -19.772994460740257, "params": null, "bitstrings": ["0001000110000100", "0001001010000100"], "total_optimization_steps": 100, "probabilities": [0.0422151246403947, 0.700429827740859], "optimization_time": 1459.6900038719177} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-20.49999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999847, "smallest_bitstrings": ["0001001010000100"], "largest_eigenvalue": 69.50000000000023} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5577) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZZIIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
1108229130261521761 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [1, 5], [1, 4], [0, 2], [1, 3], [2, 5], [2, 4], [0, 6], [3, 6], [0, 3]]} | {"states": [14, 15], "expectation_value": -2.8187486031463758, "params": null, "bitstrings": ["1110001", "1110000"], "total_optimization_steps": 39, "probabilities": [0.3414127249168174, 0.47386055313712366], "optimization_time": 35.41381216049194} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1110000", "0001111", "0001110", "1001110", "0110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1366234409401799) q[0];
h q[1];
ry(-0.1366234409401799) q[1];
h q[2];
ry(-0.7743841954790852) q[2];
rz(-pi) q[3];
ry(-3.076049532733991) q[3];
h q[4];
ry(1.7023571886082434) q[4];
h q[5];
cx q[5], q[1];
ry(0.1366234409401799) q[1];
cx q[5], q[1];
ry(-0.433... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIZIIIZ",
"IIZIIZI",
"IZIIIZI",
"IIZIZII",
"IIIIZIZ",
"IZIIZII",
"IIIZIIZ",
"IIIZIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.97021 | [
-0.2732468818803598,
1.7023571886082434,
-0.8669754684854398,
1.37144465321601,
-1.5487683909581704,
-0.2384655369490561,
0.042270498652909605,
-0.13203548191508918,
0.22565561989524416,
-0.3804192064252021,
-0.4845051348206373,
-0.30830208723112457,
0.05009090475330154,
-0.340031501394134... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 11 |
9e3fd441307ea46e321a51e29b173f1a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [111, 239], "expectation_value": -15.95228489293937, "params": [0.0021000000000000003, 0.0039000000000000003, -0.0011, 0.0015, -0.20620000000000002, -0.2073, 0.2882, 0.28600000000000003, 0.43660000000000004, 0.5499, 0.46840000000000004, 0.4389, 0.0103, 0.0122, 0.536, 0.5493, 0.49310000000000004, 0.5047, 0.42... | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 14 | 11 | 3 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11100010000", "11000000000", "11010010000"], "largest_eigenvalue": 55.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.000890822842480871) q[0];
rz(pi/2) q[0];
ry(-0.15670603725100302) q[1];
ry(-0.20648486180727027) q[2];
ry(0.45144887671116174) q[3];
ry(0.34931390918915306) q[4];
ry(0.14890652132398377) q[5];
ry(0.14818692661575433) q[6];
ry(0.44502625653055666) q[7];
ry(0.424953... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIZIIZII",
"IIIIIIZIZII",
"IIIIZIIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIZIIZIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IIIZIZIIIII",
"IIIZIIZII... | [
2,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
-0.5,
1,
1,
0.5,
0.5,
-0.5,
-0.5,
2,
1,
1,
-1,
-1,
1,
-0.25,
8,
4,
3,
1.5,
1.5,
-3,
-3,
2.5,
5,
-0.5,
-0.5
] | 0.971849 | [
0.000890822842480871,
-0.15670603725100302,
-0.20648486180727027,
0.45144887671116174,
0.34931390918915306,
0.14890652132398377,
0.14818692661575433,
0.44502625653055666,
0.4249533755281996,
0.25680042464988484,
0.4419502268595168,
0.1799489528204672,
-0.37170555535813404,
-0.0445425003681... | {
"n_parameters": 129,
"n_qubits": 11,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 11 |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [6, 24], "expectation_value": -0.28048000972891524, "params": [[-0.0546, 0.078], [0.07830000000000001, -0.0487]], "bitstrings": ["111001", "100111"], "total_optimization_steps": 10, "probabilities": [0.017732015040461343, 0.017732015040461364], "optimization_time": 2.816734790802002} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999709924238299, "params": [[[0.0013000000000000002, 0.0405, 0.0038, 0.0079]], [[-0.0023, 0.0195, 0.009300000000000001, 0.0007]], [[-0.0066, 0.0002, 0.0083, 0.0078000000000000005]]], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities": [1.450378808508186... | -1.0 * Z(0) | 12 | 1 | 3 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[1] c;
qubit[1] q;
ry(x0) q[0];
rz(x1) q[0];
ry(x2) q[0];
rz(x3) q[0];
ry(x4) q[0];
rz(x5) q[0];
c[0] = measure q[0]; | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} | [
"Z"
] | [
-1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
b301caa8ee54d69b7ea37306c72194d5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [233, 169], "expectation_value": -34.13715203401841, "params": [[[0.8005, -0.0027], [0.447, 0.18180000000000002], [0.7938000000000001, -0.0032], [0.0551, 0.37260000000000004], [0.8067000000000001, -0.002], [0.0018000000000000002, -0.48900000000000005], [-0.0021000000000000003, 0.44120000000000004], [0.805, -... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(0) + -4.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + -8.0 * Z(5) + -4.5 * Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["01010110"], "largest_eigenvalue": 72.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.06347993300546761) q[0];
ry(2.992575480203145) q[0];
rz(-2.8384273294090185) q[0];
rz(2.1169877527792913) q[1];
ry(0.32367041637651545) q[1];
rz(-0.9241277141255932) q[1];
rz(0.3928639994170604) q[2];
ry(2.9960386583190366) q[2];
rz(-2.9496046030450467) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
1.5,
-4.5,
0,
0,
-8,
-4.5,
-6,
-1
] | 0.975073 | [
0.7541740997564996,
-0.08897060080098201,
0.0341104565438206,
0.3162561023169565,
0.9646454844957498,
-0.08022338423338521,
-0.015940874132053987,
0.24465601585825247,
1.1360293018527372,
0.15521536851054535,
0.0916895373402746,
-0.42605715799213406,
0.009023942239593907,
0.136073202055540... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -46,
"target_ratio": 0.97,
"target_value": -44.62
} | 12 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.