Noise correlation and success probability in coherent Ising machines

• URL: http://arxiv.org/abs/2009.10328v1
• Date: Tue, 22 Sep 2020 05:44:30 GMT
• Title: Noise correlation and success probability in coherent Ising machines
• Authors: Yoshitaka Inui and Yoshihisa Yamamoto
• Abstract summary: We study noise correlations in coherent Ising machines (CIMs) with optical delay-line, measurement feedback, and mean-field couplings. The results indicate that the success probability is more directly related to the normalized correlation function rather than entanglement or quantum discord.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We compared the noise correlation and the success probability of coherent Ising machines (CIMs) with optical delay-line, measurement feedback, and mean-field couplings. We theoretically studied three metrics for the noise correlations in these CIMs: quantum entanglement, quantum discord, and normalized correlation of canonical coordinates. The success probability was obtained through numerical simulations of truncated stochastic differential equations based on the Wigner distribution function. The results indicate that the success probability is more directly related to the normalized correlation function rather than entanglement or quantum discord.

Related papers

• Semiparametric conformal prediction [79.6147286161434]
  Risk-sensitive applications require well-calibrated prediction sets over multiple, potentially correlated target variables. We treat the scores as random vectors and aim to construct the prediction set accounting for their joint correlation structure. We report desired coverage and competitive efficiency on a range of real-world regression problems.
  arXiv  Detail & Related papers  (2024-11-04T14:29:02Z)
• Applications of flow models to the generation of correlated lattice QCD ensembles [69.18453821764075]
  Machine-learned normalizing flows can be used in the context of lattice quantum field theory to generate statistically correlated ensembles of lattice gauge fields at different action parameters. This work demonstrates how these correlations can be exploited for variance reduction in the computation of observables.
  arXiv  Detail & Related papers  (2024-01-19T18:33:52Z)
• Tailored and Externally Corrected Coupled Cluster with Quantum Inputs [0.0]
  We propose to use wavefunction overlaps obtained from a quantum computer as inputs for the classical split-amplitude techniques. We provide insights into which wavefunction preparation schemes have a chance of yielding quantum advantage.
  arXiv  Detail & Related papers  (2023-12-13T12:57:39Z)
• Accurate and Honest Approximation of Correlated Qubit Noise [39.58317527488534]
  We propose an efficient systematic construction of approximate noise channels, where their accuracy can be enhanced by incorporating noise components with higher qubit-qubit correlation degree. We find that, for realistic noise strength typical for fixed-frequency superconducting qubits, correlated noise beyond two-qubit correlation can significantly affect the code simulation accuracy.
  arXiv  Detail & Related papers  (2023-11-15T19:00:34Z)
• Technical Review of Four Different Quantum Systems: Comparative Analysis of Quantum Correlation, Signal-to-Noise Ratio, and Fidelity [0.0]
  We consider the electro-opto-mechanical, optoelectronics, 4-coupled qubits, and InP HEMT coupled with two external oscillator methods. Since these systems are open quantum systems, they interact with their own environment medium and thermal bath. We calculate the quantum correlation between cavity modes, signal-to-noise ratio, and fidelity for each system to evaluate their performance.
  arXiv  Detail & Related papers  (2023-05-02T06:50:06Z)
• Importance sampling for stochastic quantum simulations [68.8204255655161]
  We introduce the qDrift protocol, which builds random product formulas by sampling from the Hamiltonian according to the coefficients. We show that the simulation cost can be reduced while achieving the same accuracy, by considering the individual simulation cost during the sampling stage. Results are confirmed by numerical simulations performed on a lattice nuclear effective field theory.
  arXiv  Detail & Related papers  (2022-12-12T15:06:32Z)
• Correlation functions for realistic continuous quantum measurement [0.0]
  We propose a self-contained and accessible derivation of an exact formula for the $n$-point correlation functions of the signal measured when continuously observing a quantum system.
  arXiv  Detail & Related papers  (2022-11-30T23:45:22Z)
• Statistical Efficiency of Score Matching: The View from Isoperimetry [96.65637602827942]
  We show a tight connection between statistical efficiency of score matching and the isoperimetric properties of the distribution being estimated. We formalize these results both in the sample regime and in the finite regime.
  arXiv  Detail & Related papers  (2022-10-03T06:09:01Z)
• Ability of error correlations to improve the performance of variational quantum algorithms [0.0]
  We introduce a model for both spatially and temporally (non-Markovian) correlated errors based on classical environmental fluctuators. We find evidence that the performance of QAOA improves as the correlation time or correlation length of the noise is increased at fixed local error probabilities.
  arXiv  Detail & Related papers  (2022-07-21T17:30:33Z)
• Characterizing low-frequency qubit noise [55.41644538483948]
  Fluctuations of the qubit frequencies are one of the major problems to overcome on the way to scalable quantum computers. The statistics of the fluctuations can be characterized by measuring the correlators of the outcomes of periodically repeated Ramsey measurements. This work suggests a method that allows describing qubit dynamics during repeated measurements in the presence of evolving noise.
  arXiv  Detail & Related papers  (2022-07-04T22:48:43Z)
• Noise-adaptive test of quantum correlations with quasiprobability functions [0.0]
  We introduce a method for testing quantum correlations in terms of quasiprobability functions in the presence of noise. We analyze the effects of measurement imperfection and thermal environment on quantum correlations and show that their noise effects can be well encapsulated into the change of the order parameter of the generalized quasiprobability function.
  arXiv  Detail & Related papers  (2020-02-14T01:51:29Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.