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 128 2.57k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
3d627635058abf5b6bb9c53f69a1c86d | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 3, "target":... | {"states": [63, 511], "expectation_value": -2.0702588516857356, "params": [[-0.0599], [0.062200000000000005]], "bitstrings": ["111000000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.003179104768408564, 0.0033136167255936105], "optimization_time": 1.0138466358184814} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(6)) + -3.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(4)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[1], q[0];
rz(0.1797) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0599) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1797) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.4193) q[3];
cx q[4], 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;
input float[64] x6;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 6} | {"circuits": [], "gradients": []} |
ed17940d27aebadda70c31c5b11d2e16 | matching | qaoa | {"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}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [442, 218], "expectation_value": -12.430252022015267, "params": [[-0.028800000000000003, -0.0313, -0.0129], [0.038200000000000005, 0.0475, 0.035500000000000004]], "bitstrings": ["001000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0060558589831438804, 0.007033437322857238], "optimiz... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
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[1], q[0];
rz(-0.2592) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2592) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.2592) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.2592) q[3];
cx q[2], 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[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [207, 205], "expectation_value": -0.6342479415594341, "params": [0.6247, 0.1705, 0.874, 0.3271, 0.3098, 0.3884, 0.3269, 0.4011, 0.8151, 0.4052, 0.6392, 0.12010000000000001, 0.5835, -0.30710000000000004, 0.8366, -0.2591, 0.6077, 0.1626, 0.8371000000000001, 0.35300000000000004, 0.27790000000000004, 0.390300000... | 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(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 18 | 8 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6247) q[0];
rz(0.1705) q[0];
rx(0.874) q[1];
rz(0.3271) q[1];
rx(0.3098) q[2];
rz(0.3884) q[2];
rx(0.3269) q[3];
rz(0.4011) q[3];
rx(0.8151) q[4];
rz(0.4052) q[4];
rx(0.6392) q[5];
rz(0.1201) q[5];
rx(0.5835) q[6];
rz(-0.3071) q[6];
rx(0.8366) q[7];
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[... | null | {"circuits": [], "gradients": []} |
1d36f605f450bd24c53bed4c61ab6422 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [51, 35], "expectation_value": -0.6990192403016737, "params": [[0.0722, 0.061000000000000006, 0.0654], [-0.06860000000000001, -0.0511, -0.0492]], "bitstrings": ["1001100", "1011100"], "total_optimization_steps": 10, "probabilities": [0.013967852646237365, 0.014448856389640254], "optimization_time": 3.7291078... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[0];
rz(-0.0361) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0361) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0722) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(-0.0722) q[2];
cx q[4], q[2];
cx q[2], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
44db6493095286b918fb0c5bac33de1d | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [12, 44], "expectation_value": -2.3315010912557774, "params": [[[0.5488000000000001, 0.12810000000000002], [0.5585, 0.1311], [0.8047000000000001, 0.0023], [0.0028, 0.5967], [0.8036000000000001, 0.0014], [0.8037000000000001, -0.0012000000000000001], [0.0023, 0.5991000000000001], [0.0029000000000000002, 0.5796... | 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)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(3)) + -0.125 * (Z(4) @ Z(3) @ Z(6)) + -0.125 * (Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["10010111", "01011011", "11010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5488) q[0];
rz(0.1281) q[0];
rx(0.5585) q[1];
rz(0.1311) q[1];
rx(0.8047) q[2];
rz(0.0023) q[2];
rx(0.0028) q[3];
rz(0.5967) q[3];
rx(0.8036) q[4];
rz(0.0014) q[4];
rx(0.8037) q[5];
rz(-0.0012) q[5];
rx(0.0023) q[6];
rz(0.5991) q[6];
rx(0.0029) q[7];
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[... | null | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [14, 7], "expectation_value": -2.4964641631109394, "params": null, "bitstrings": ["10001", "11000"], "total_optimization_steps": 19, "probabilities": [0.06634837994070204, 0.9303663571679487], "optimization_time": 8.287782907485962} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0343) q[4], q[1];
ry(0.7003) q[4];
ry(-0.4549) q[1];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[1];
cry(0.2489) q[2], q[4];
cry(-0.1488) q[2], q[1];
cry(0.118)... | 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[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]... |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [3, 1], "expectation_value": -0.11018709011519463, "params": [[-0.0402, -0.028200000000000003, -0.08020000000000001], [0.055200000000000006, 0.020800000000000003, 0.0673]], "bitstrings": ["100", "110"], "total_optimization_steps": 10, "probabilities": [0.13434759204846883, 0.14508861480303417], "optimization... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.0402) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0201) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0603) q[2];
cx q[0], q[2];
rz(0.0201) q[1];
rz(0.0201) q[0];
rz(-0.0402) q[2];
h q[0];
rz(0.1104) q[0];
h q[0];
h q[1];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
12210bdb8f7c5877d15ce0dea7afc09c | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target":... | {"states": [797, 541], "expectation_value": -2.964683808546474, "params": [[[1.6013000000000002, 0.0021000000000000003], [1.5623, 0.0019], [0.14450000000000002, 0.0099], [0.5475, 0.0027], [0.1437, 0.009300000000000001], [1.603, 0.0035], [1.5891000000000002, 0.0007], [1.5999, 0.0019], [0.14880000000000002, 0.00520000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + 0.0 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101010", "0111100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6013) q[0];
rz(0.0021) q[0];
rx(1.5623) q[1];
rz(0.0019) q[1];
rx(0.1445) q[2];
rz(0.0099) q[2];
rx(0.5475) q[3];
rz(0.0027) q[3];
rx(0.1437) q[4];
rz(0.0093) q[4];
rx(1.603) q[5];
rz(0.0035) q[5];
rx(1.5891) q[6];
rz(0.0007) q[6];
rx(1.5999) q[7];
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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
a617cd4648156ddc77f993201a7a952c | kclique | qaoa | {"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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -12.373769903873796, "params": [[0.0129, 0.022500000000000003, 0.0079, 0.0125], [-0.028200000000000003, -0.0519, -0.052700000000000004, -0.0439]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.008112079983223441, 0.008966988056707065... | 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)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 9 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
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[1], q[0];
rz(0.0709) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0709) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0709) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0709) q[3];
cx q[1], q[3];
cx 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
4c5a23f8c8a34bc9c0e926b6ce68cf56 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [124, 127], "expectation_value": -1.9824099301492069, "params": [[-0.0785], [0.0786]], "bitstrings": ["0000011", "0000000"], "total_optimization_steps": 10, "probabilities": [0.014303046136399709, 0.014303046136399709], "optimization_time": 0.5492565631866455} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 1.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000", "0000011"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.3925) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3925) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.314) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2355) q[4];
cx q[1], q[4];
cx q[0], q[4];
r... | 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[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];
c... | {"node": 5} | {"circuits": [], "gradients": []} |
56bf2b9b5079d42e66a4e14293694014 | 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": [1745, 1681], "expectation_value": -65.23018612784095, "params": [0.6618, 0.17600000000000002, 0.9978, 0.0143, 0.9938, 0.0342, 0.7914, 0.2195, 0.9985, 0.0427, 0.7911, 0.22010000000000002, -0.0024000000000000002, 0.6598, 1.0079, 0.0115, -0.0059, 0.518, 0.005, 0.13720000000000002, 0.7903, 0.26130000000000003, ... | 8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(0) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(10) @ Z(2)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 3.0 * Z(3) + 17.5 * Z(1) + 17.0 * Z(2) + 15.0 * Z(4)... | 16 | 12 | 2 | {"smallest_eigenvalues": [-157.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.5, "smallest_bitstrings": ["100101101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.6618) q[0];
rz(0.176) q[0];
rx(0.9978) q[1];
rz(0.0143) q[1];
rx(0.9938) q[2];
rz(0.0342) q[2];
rx(0.7914) q[3];
rz(0.2195) q[3];
rx(0.9985) q[4];
rz(0.0427) q[4];
rx(0.7911) q[5];
rz(0.2201) q[5];
rx(-0.0024) q[6];
rz(0.6598) q[6];
rx(1.0079) q[7];
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, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
a20be77afa1a8b9b75f27972fb6e9517 | 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}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, ... | {"states": [73, 75], "expectation_value": -16.656036797726205, "params": [-0.0088, 0.9593, 0.7847000000000001, 0.0068000000000000005, 0.0037, 0.8875000000000001, 0.0024000000000000002, 0.9078, 0.7891, 0.1826, -0.0008, 0.6888000000000001, 0.5307000000000001, 0.47140000000000004, 0.7928000000000001, 0.0074, 0.00480000000... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z... | 3 | 8 | 4 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0088) q[0];
rz(0.9593) q[0];
rx(0.7847) q[1];
rz(0.0068) q[1];
rx(0.0037) q[2];
rz(0.8875) q[2];
rx(0.0024) q[3];
rz(0.9078) q[3];
rx(0.7891) q[4];
rz(0.1826) q[4];
rx(-0.0008) q[5];
rz(0.6888) q[5];
rx(0.5307) q[6];
rz(0.4714) q[6];
rx(0.7928) q[7];
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": 7} | {"circuits": [], "gradients": []} |
712b030d217f3cf9b2b341027ce3b496 | 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}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 14, "source": 1, "target": 6}, {"weight": 3, "source... | {"states": [219, 218], "expectation_value": -71.03949686819102, "params": [0.06380000000000001, -0.201, 0.07400000000000001, -0.2102, 0.44370000000000004, -0.0068000000000000005, 0.4751, -0.0068000000000000005, 0.4242, -0.014100000000000001, 0.4635, -0.0102, -0.0019, 0.2015, -0.0071, 0.2051, 0.45330000000000004, -0.029... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 4.0 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 1.... | 5 | 9 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0638) q[0];
rz(-0.201) q[0];
rx(0.4437) q[1];
rz(-0.0068) q[1];
rx(0.4242) q[2];
rz(-0.0141) q[2];
rx(-0.0019) q[3];
rz(0.2015) q[3];
rx(0.4533) q[4];
rz(-0.0293) q[4];
rx(0.4505) q[5];
rz(-0.037) q[5];
rx(0.0278) q[6];
rz(0.222) q[6];
rx(0.4375) q[7];
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] 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... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
-3157302381660211115 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [3, 6], [0, 5], [8, 5], [1, 3], [1, 6], [0, 7], [8, 7], [1, 2], [3, 4], [5, 7], [2, 6], [1, 4], [0, 8], [2, 5]]} | {"states": [481, 482], "expectation_value": -0.0243691610085646, "params": [[0.0267], [-0.030600000000000002]], "bitstrings": ["000011110", "000011101"], "total_optimization_steps": 10, "probabilities": [0.0019979953159408185, 0.0019979953159408185], "optimization_time": 0.698986291885376} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["000011101", "000011110", "111100010", "111100001", "011100011", "100011100"]} | OPENQASM 3.0;
include "stdgates.inc";
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[1];
rz(0.0267) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(0.0267) q[3];
cx q[1], q[3];
cx q[1], q[6];
rz(0.0267) q[6];
cx q[1], q[6];
cx q[3], q[6];
rz(0.0267) q[6];
cx q[3], q[6];
... | 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[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q[6];... | null | {"circuits": [], "gradients": []} |
-6170143923129228437 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4], [1, 5], [3, 5, 6], [0, 3], [1, 2, 3], [0, 5], [4, 7], [2, 3, 5]]} | {"states": [53, 60], "expectation_value": -2.749487076024844, "params": null, "bitstrings": ["11001010", "11000011"], "total_optimization_steps": 53, "probabilities": [0.05608097171249614, 0.8054378771726384], "optimization_time": 79.60331678390503} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.9999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["11000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
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];
ry(1.4449) q[2];
cry(-1.0324) q[5], q[0];
ry(0.9726) q[5];
cry(-1.3748) q[5], q[1];
cry(-0.8041) q[3], q[0];
ry(1.1701) q[3];
ry(-0.4058) q[0];
cry(0.3486) q[2], q[5];
cry(-1.0342) q[4], q[7];
ry(... | 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];\nry(1.4449) 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];\nc[6] = measure q[... |
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