shuffled_text stringlengths 280 1.57k | A stringclasses 6
values | B stringclasses 6
values | C stringclasses 6
values | D stringclasses 6
values | label stringclasses 4
values |
|---|---|---|---|---|---|
**A**: The rest of the paper is organized as follows**B**: We then introduce our QPE algorithm based on compressed sensing in Sec. 3 and prove several analytical results, including its Heisenberg-limit scaling. We also numerically test the performance of our algorithm and compare it to previous works in Sec. 4. In the ... | ABC | ABC | BAC | ACB | Selection 4 |
**A**: Additionally, for both CATN [61] and SweepContractor [14],
it is essential to carefully select the binary tree/MPS structures and permutations (i.e., a mapping from tensor modes onto binary tree vertices) [41]**B**: These choices should yield accurate low-rank approximations while enabling efficient subsequent c... | ABC | CBA | BCA | CBA | Selection 1 |
**A**: This shift suggests that the presence of charge enhances the black hole’s ability to trap perturbations near the horizon, leading to higher QNM frequencies. The charge Q𝑄Qitalic_Q thus plays a dual role in both increasing the potential barrier and reducing the effective radius where the perturbation is concentr... | ACB | CAB | ACB | BCA | Selection 2 |
**A**: Those equations from DECC need to be canonicalized termwise. This generation scheme implies one could build a hash-table that**B**: Nevertheless, the time-demanding feature of the half-naive algorithm is partially due to the large number of non-canonicalized equations, that are generated from the permutations in... | CBA | BAC | ABC | CAB | Selection 1 |
**A**: (1991) cannot account for the present ARPES results**B**: Note that in the present CDMFT calculations, AFM order is absent while all the short-range charge and spin correlations within the 2×2222\times 22 × 2 cluster are fully taken into account.**C**: Even spin-wave theory beyond the mean-field AFM ordered stat... | CBA | CAB | BCA | CAB | Selection 3 |
**A**: Otherwise, it becomes difficult to define a time evolution law by slicing the spacetime into equal-time surfaces**B**: Moreover, Poincaré symmetry itself is originally defined in Minkowski space.
In the context of AdS/CFT, two Minkowski hypersurfaces can be found in the near-extremal D3-brane solution in decoupl... | ABC | BAC | ABC | BCA | Selection 4 |
**A**: Let us note that the q=1𝑞1q=1italic_q = 1 case discussed above is a special case of a very general set of conjectures due to D. Ben-Zvi, Y. Sakellaridis and A. Venkatesh; those conjectures were in fact motivated by known results about automorphic L𝐿Litalic_L-functions**B**: Thus in some sense at the moment the... | BAC | BCA | BCA | ACB | Selection 4 |
**A**: (\APACyear2017)]**B**: The discriminator architecture is based on the PatchGAN [Isola \BOthers**C**: Denoting a 4×4444\times 44 × 4 convolutional layer with k𝑘kitalic_k filters, instance normalization (except for the first layer), leaky ReLU with slope 0.20.20.20.2 and a stride of 2222 with Ck.
The full archite... | ACB | BCA | CBA | BAC | Selection 4 |
**A**: It turns out that the proof does not rely on the particular product state structure of |π⟩ket𝜋\ket{\pi}| start_ARG italic_π end_ARG ⟩, so any figure of merit based on maximizing the overlap with pure states from some subset can be optimized with our method**B**: The proof is given in Appendix A and comes with a... | ABC | CBA | BCA | BAC | Selection 4 |
**A**: Ref. Bolognesi et al. (2021) for a recent review and references therein). Such line of research is extremely interesting and might lead to additional insight on the occurrence of the ordinary chiral symmetry breaking phase in QCD-like theories where more traditional arguments like those used in this paper fail.
... | ACB | CAB | ABC | ACB | Selection 2 |
**A**: The molecules constituting the bond-broken half-skyrmions are also displayed**B**: (d-f) Spatial distribution of bond-breaking (in black lines) in liquid (d), hexatic (e), and crystalline (f) phases**C**: Open circles and the background color are drawn in the same manner as (a-c).
(g-i) Structure factors of half... | CAB | CBA | ABC | BAC | Selection 4 |
**A**: It was shown that the solutions obtained from the coupled density equations already show that the dynamics of the system is chaotic. In his approach, different components or kinds are consuming each other**B**:
which is the same expression as in Refs. [55, 56]**C**: However, this approach may violate the conser... | ABC | BAC | ACB | ACB | Selection 2 |
**A**:
A well-known integrator was introduced by Brooks, Brünger, and Karplus, known as BBK [38]**B**: It is similar to the Verlet integrator [39], also known as the Störmer method or velocity Verlet integrator depending on a specific representation**C**: An alternative name for BBK is the generalized Verlet [1] which... | CBA | CAB | ACB | ABC | Selection 4 |
**A**: The kinematic cuts (C1-C4) are described in the text**B**: After applying the C4 cut, the remaining events are passed for the multivariate analysis.
**C**: Table 4: After applying various kinematic event selection cuts, signal and background events (in fb) indicate the efficiency for each set of cuts to reduce ... | BAC | CAB | BCA | ABC | Selection 3 |
**A**:
In conclusion, we have successfully synthesized and characterized high-quality single crystals of YbZn2GaO5, a Yb-based triangular lattice system that displays no observable intrinsic chemical disorder. Our ac-susceptibility measurements rule out the possibility of a spin-glass ground state**B**: Furthermore, o... | CAB | CBA | BAC | ABC | Selection 4 |
**A**: ReλsubscriptRe𝜆\mathrm{Re}_{\lambda}roman_Re start_POSTSUBSCRIPT italic_λ end_POSTSUBSCRIPT is the Reynolds number
based on the Taylor microscale**B**: Nisubscript𝑁𝑖N_{i}italic_N start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT and Lisubscript𝐿𝑖L_{i}italic_L start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT are ... | CAB | BCA | ACB | CBA | Selection 2 |
**A**: This work was also supported by the National Natural Science Foundation of China (Grants No. 11305119), the Natural Science Basic Research Plan in Shaanxi Province of China
(No**B**: 23JSQ001, No. 2020JM-198) and the Fundamental Research**C**: This work was supported by the Natural Science Foundation of Shaanxi ... | CBA | CBA | BCA | CAB | Selection 3 |
**A**: Validating the SIDM paradigm requires crucial searches for evidence of the existence of the dark sector.**B**: These difficulties arise in understanding the behavior and distribution of dark matter (DM) within galaxies and galaxy clusters**C**: To address these challenges, the self-interacting dark matter (SIDM)... | BAC | ABC | CAB | ACB | Selection 3 |
**A**: (d) The THz bandwidth as a function of CoFeB-layer thicknesses. **B**:
Figure 3: (a) The amplitude of the THz signal at a frequency of 1 THz as a function of CoFeB-layer thicknesses for stacks containing different NM layers and varying thicknesses. The amplitude is measured in attovolt-seconds**C**: (b) A magni... | CAB | BCA | ABC | ABC | Selection 1 |
**A**: In the blue area, there are also two local maxima, but the local maximum on the right is greater than the one on the left**B**: In the red area, there are two local maxima that decrease from left to right**C**: In the remaining white area, there is only one local maximum.
| ABC | CAB | CBA | BAC | Selection 4 |
**A**: This approach is well suited to experiments that take data as the laboratory is boosted and rotated.
**B**: One approach involves directly fitting a single data stream to a model involving all of the coefficients in the family.222For a recent example of this approach in the gravity sector, see Ref. [45]**C**: A ... | CBA | BAC | CAB | BCA | Selection 1 |
**A**:
This effect, known as the Autler-Townes effect or ac Stark shift, has been observed in quantum optics and in strongly driven superconducting qubits [25, 26]**B**: It is at the basis of control strategies for highly coherent solid-state qubits [27]**C**: In particular, the continuous driving can decouple the spi... | CAB | BAC | ACB | ABC | Selection 4 |
**A**:
Before proceeding, we note that the above restriction to positive temperature is important**B**: Indeed, if we consider a system close to the ground state, i.e**C**: close to the configuration of minimal energy, then the phenomenology is different and KAM tori can persist in the presence of small perturbations,... | ACB | CBA | CAB | ABC | Selection 4 |
**A**: This fin comprises a Ge semicircle on top of a Si substrate with a Si outer shell, where the electron is localized**B**: This fin resembles the triangular fin discussed in the main text if the triangle has a round tip. In practice, a device without sharp tips is more realistic to be grown since the large strain ... | CBA | BCA | ABC | BAC | Selection 2 |
**A**: The data was then reconstructed using LM-TOF OSEM for up to 27 iterations with 3 subsets with attenuation, random, and scatter modeling**B**:
A 9 minute acquisition (high count) was simulated in GATE that included all relevant physical phenomenon in a typical PET scan**C**: PSF modeling was implemented via 3 di... | BAC | CBA | ABC | ABC | Selection 1 |
**A**: Below in Fig. S2, we show a general bond-dependent spin Hamiltonian with S=3/2𝑆32{S=3/2}italic_S = 3 / 2, J=−1.3𝐽1.3{J=-1.3}italic_J = - 1.3 meV, Δ=0.5Δ0.5{\Delta=0.5}roman_Δ = 0.5, J±=−0.4subscript𝐽plus-or-minus0.4{J_{\pm}=-0.4}italic_J start_POSTSUBSCRIPT ± end_POSTSUBSCRIPT = - 0.4 meV,
Jz±=0.2subscript𝐽l... | CAB | CBA | CAB | ABC | Selection 2 |
**A**: Appearance of both Rashba and Darwin terms warrants some elaboration. The very notion of the SOI is an attribute of a simplified single-band portrayal of the electron dynamics, accomplished via the projection of a microscopic multi-band Hamiltonian onto the conduction band**B**: Through this projection, an effec... | BAC | ABC | BAC | CBA | Selection 2 |
**A**: However, considering that the influence of dark matter on the space - time structure is usually relatively weak, approximate solutions can be gradually obtained through iterative methods**B**: For this purpose, we start from the analytical solution of the event horizon of the classical Kerr black hole. In the st... | BCA | ACB | CAB | CBA | Selection 1 |
**A**: Action 0 indicates a step to the north, action 1 a step to the south, action 2 a step to the west, and action 3 a step to the east. To prevent the VQC from choosing illegal actions, the expected values are normalized to the interval [0,1]01[0,1][ 0 , 1 ] and masked with environmental regulations.**B**:
Each cel... | BCA | CBA | CAB | ABC | Selection 3 |
**A**: It is particularly effective in solving integer programming (IP) and mixed-integer programming (MIP) problems [20]. Qiskit has libraries (QuadraticProgram) in its optimization module that can convert model objects to a form that can be read by CPLEX.
**B**: We have also used IBM CPLEX to obtain classical results... | BAC | ABC | CAB | BCA | Selection 3 |
**A**:
Natural Sciences and Engineering Research Council of Canada (NSERC) via the Canada Research Chair (CRC) of D.V.S.; the Fonds de Recherche du Québec Nature et Technologies (FRQNT) via Institut Transdisciplinaire d’ Information Quantique Transdisciplinary Institute for Quantum Information (INTRIQ); PBEEE/Bourses ... | ACB | BCA | BCA | BAC | Selection 1 |
**A**: As we can see from the results, all the maximum frequencies of Fano shape in BIC in Fig. 2 (b) correspond to CIT frequencies in Fig. 2 (c) respectively and these results verify our analysis based on the coupling between the bright mode and the interference of dark modes.**B**: Thus, the overall dark modes can no... | ABC | BAC | CAB | CBA | Selection 4 |
**A**: Corners are natural locations for topological defects to reside in order to reduce the total elastic energy in the LC, just as the Kutta condition selects the circulation (by the placement of a surface stagnation point at a sharp edge) in potential flow theory [12]. In general, the final effective-boundary defec... | BCA | BAC | CAB | CAB | Selection 2 |
**A**: Moreover, Theorem 5 shows that subpopulations subject to distinct maternal effects can generate arbitrarily complex population dynamics, thereby affirming the main thesis of [18].
**B**: The extension of (7) to (8) is interesting in its own right, and should be interesting to develop in future work**C**: In part... | CAB | BAC | ACB | CBA | Selection 4 |
**A**:
WFs have several profound connections with quantum-geometrical and topological aspects of the electronic structure [436]; some of them are discussed in Sec. III.5 and III.6**B**: A prime example of geometrical—and in some circumstances also topological—quantity is the electric polarization of periodic solids, w... | ACB | CAB | BAC | BAC | Selection 1 |
**A**: Frank for helpful suggestions, leading to our consideration of Lorentz norms in Theorem 2. We also thank Hajer Bahouri, Morris Brooks, Albert Cohen, Patrick Gérard, Kihyun Kim, Mathieu Lewin, Hoai-Minh Nguyen, Julien Sabin, Nikita Simonov, Thomas Sørensen, Jakob Stern, Hanne van den Bosch and Jean van Schaftinge... | ABC | BCA | CBA | ABC | Selection 3 |
**A**: The latter are also going to be used to investigate spectral and scattering properties in § 3.3**B**: This section is devoted to the proofs of the results previously stated.
The first result we prove is the classification of self-adjoint extensions: we start by addressing the quadratic forms (2.11) in § 3.1 and ... | BCA | CBA | BAC | BCA | Selection 3 |
**A**: Valerii Kozin for valuable comments.**B**: Leggett Institute for Condensed Matter Theory, Urbana (USA), during the inauguration workshop New Horizons in Condensed Matter Physics, November, 2023, which stimulated this work.
We also thank Dr**C**: We wish to acknowledge hospitality at The Anthony J | ACB | BAC | CAB | CBA | Selection 4 |
**A**: First of all, it can be seen in Fig. 8(a) that the IV curves from the two different simulations are again essentially equal to each other (on linear scale and with this zoom level). Moreover, here the short-circuit current is practically equal to the solar generation rate expressed in mA/cm2. Removing the AlGaAs... | BCA | BAC | CAB | ABC | Selection 1 |
**A**: The scheme validated through this work suggests a viable way to design the shape of twin open cavities, i.e. those cavities intended to resonate with the same spectrum of a reference cavity, but having a different geometry**B**: The upshot is that one could take designs from the literature that use constant para... | ACB | BAC | ABC | ABC | Selection 1 |
**A**: The light polarization was controlled with a half-plate (light polarization angle). The single domain BiFeO33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPT thin film with a thickness of 180 nm clearly shows an optical birefringence (Fig. 7a) as previously discussed [39]. On the opposite the optical reflectivity... | ACB | ABC | ACB | CBA | Selection 4 |
**A**: These coefficients can be obtained by solving the Boltzmann equation**B**:
It is evident from Eq. (44) and Eq. (45) that to determine the temperature dependence of shear and bulk viscosities, it is essential to calculate the scalar coefficients 𝒜𝒜\mathcal{A}caligraphic_A and 𝒞𝒞\mathcal{C}caligraphic_C**C**:... | CAB | BAC | CAB | ACB | Selection 2 |
**A**: To find the ground state configuration, we perform an extensive sampling of all the distinct flux configurations numerically**B**: We leverage a “generalized” version of Lieb’s theorem Macris and Nachtergaele (1996); Jaffe and Pedrocchi (2014); Chesi et al. (2013) that reduces dramatically the number of sampling... | ACB | BCA | CBA | CAB | Selection 2 |
**A**: It gives rise to primordial density fluctuations, acting as the foundational “seeds” for the creation of the cosmic structures we observe today, including galaxies and galaxy clusters. These primordial density fluctuations, in the standard inflationary scenario, originate from quantum fluctuations of a scalar fi... | ABC | CAB | BCA | CBA | Selection 4 |
README.md exists but content is empty.
- Downloads last month
- 8