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Boltzmann sampling is a central component of many computational frameworks, including numerous algorithms in machine learning. Although quantum annealers have been investigated as potential fast Boltzmann samplers, their dependence on…

Statistical Mechanics · Physics 2026-04-15 Ju-Yeon Gyhm , Gilhan Kim , Hyukjoon Kwon , Yongjoo Baek

Simulated annealing (SA) attracts more attention among classical heuristic algorithms because the solution of the combinatorial optimization problem can be naturally mapped to the ground state of the Ising Hamiltonian. However, in practical…

Artificial Intelligence · Computer Science 2022-03-28 Yunuo Cen , Debasis Das , Xuanyao Fong

The accelerated optical lattice has emerged as a valuable technique for the investigation of quantum transport physics and has found widespread application in quantum sensing, including atomic gravimeters and atomic gyroscopes. In our…

Quantum Gases · Physics 2023-09-14 Guoling Yin , Lingchii Kong , Zhongcheng Yu , Jinyuan Tian , Xuzong Chen , Xiaoji Zhou

Topology optimization is an essential tool in computational engineering, for example, to improve the design and efficiency of flow channels. At the same time, Ising machines, including digital or quantum annealers, have been used as…

Computational Engineering, Finance, and Science · Computer Science 2024-11-14 Yudai Suzuki , Shiori Aoki , Fabian Key , Katsuhiro Endo , Yoshiki Matsuda , Shu Tanaka , Marek Behr , Mayu Muramatsu

A promising approach to solving hard binary optimisation problems is quantum adiabatic annealing (QA) in a transverse magnetic field. An instantaneous ground state --- initially a symmetric superposition of all possible assignments of $N$…

Quantum Physics · Physics 2016-05-18 Sergey Knysh

Adiabatic transport provides a powerful way to manipulate quantum states. By preparing a system in a readily initialised state and then slowly changing its Hamiltonian, one may achieve quantum states that would otherwise be inaccessible.…

Quantum Physics · Physics 2015-02-13 P. J. D. Crowley , T. Duric , W. Vinci , P. A. Warburton , A. G. Green

In quantum adiabatic algorithm, as the adiabatic parameter $s(t)$ changes slowly from zero to one with finite rate, a transition to excited states inevitably occurs and this induces an intrinsic computational error. We show that this…

Quantum Physics · Physics 2016-02-15 Hongye Hu , Biao Wu

Photomosaic images are a type of images consisting of various tiny images. A complete form can be seen clearly by viewing it from a long distance. Small tiny images which replace blocks of the original image can be seen clearly by viewing…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Yaodong He , Jianfeng Zhou , Shiu Yin Yuen

Recent work has shown that quantum annealing for machine learning, referred to as QAML, can perform comparably to state-of-the-art machine learning methods with a specific application to Higgs boson classification. We propose QAML-Z, a…

Quantum Physics · Physics 2021-01-04 Alexander Zlokapa , Alex Mott , Joshua Job , Jean-Roch Vlimant , Daniel Lidar , Maria Spiropulu

Spin-squeezed states are metrologically useful quantum states where entanglement allows for enhanced sensing with respect to the standard quantum limit. Key challenges include the efficient preparation of spin-squeezed states and the…

Quantum Physics · Physics 2025-12-11 Stefano Giaccari , Giulia Dellea , Marco G. Genoni , Gianluca Bertaina

We study the relation between the Ising problem Hamiltonian parameters and the minimum spectral gap (min-gap) of the system Hamiltonian in the Ising-based quantum annealer. The main argument we use in this paper to assess the performance of…

Quantum Physics · Physics 2020-03-30 Vicky Choi

Perturbed Hamming weight problems serve as examples of optimization instances for which the adiabatic algorithm provably out performs classical simulated annealing. In this work we study the efficiency of the adiabatic algorithm for solving…

Quantum Physics · Physics 2015-11-24 Linghang Kong , Elizabeth Crosson

Quantum computing holds the potential for quantum advantage in optimization problems, which requires advances in quantum algorithms and hardware specifications. Adiabatic quantum optimization is conceptually a valid solution that suffers…

We explore a case example of networks of classical electronic oscillators evolving towards the solution of complex optimization problems. We show that when driven into subharmonic response, a network of such nonlinear electrical resonators…

Pattern Formation and Solitons · Physics 2022-04-04 L. Q. English , A. V. Zampetaki , K. P. Kalinin , N. G. Berloff , P. G. Kevrekidis

The standard approach to encoding constraints in quantum optimization is the quadratic penalty method. Quadratic penalties introduce additional couplings and energy scales, which can be detrimental to the performance of a quantum optimizer.…

Quantum Physics · Physics 2024-12-17 Puya Mirkarimi , David C. Hoyle , Ross Williams , Nicholas Chancellor

Many artificial intelligence (AI) problems naturally map to NP-hard optimization problems. This has the interesting consequence that enabling human-level capability in machines often requires systems that can handle formally intractable…

Quantum Physics · Physics 2009-09-29 Hartmut Neven , Geordie Rose , William G. Macready

Quantum annealing was originally proposed as an approach for solving combinatorial optimisation problems using quantum effects. D-Wave Systems has released a production model of quantum annealing hardware. However, the inherent noise and…

Disordered Systems and Neural Networks · Physics 2021-03-16 Takehito Sato , Masayuki Ohzeki , Kazuyuki Tanaka

The central question of systems biology is to understand how individual components of a biological system such as genes or proteins cooperate in emerging phenotypes resulting in the evolution of diseases. As living cells are open systems in…

Quantitative Methods · Quantitative Biology 2019-08-20 Jeyashree Krishnan , Reza Torabi , Edoardo Di Napoli , Andreas Schuppert

Combinatorial Optimization (CO) problems exhibit exponential complexity, making their resolution challenging. Simulated Adiabatic Bifurcation (aSB) is a quantum-inspired algorithm to obtain approximate solutions to largescale CO problems…

Systems and Control · Electrical Eng. & Systems 2025-10-16 Fabrizio Orlando , Deborah Volpe , Giacomo Orlandi , Mariagrazia Graziano , Fabrizio Riente , Marco Vacca

Computation with the Ising model is central to future computing technologies like quantum annealing, adiabatic quantum computing, and thermodynamic classical computing. Traditionally, computed values have been equated with ground states.…

Disordered Systems and Neural Networks · Physics 2025-11-04 Andrew G. Moore
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