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Quantum annealing (QA) is a promising approach for not only solving combinatorial optimization problems but also simulating quantum many-body systems such as those in condensed matter physics. However, non-adiabatic transitions constitute a…

量子物理 · 物理学 2022-09-21 Takashi Imoto , Yuya Seki , Yuichiro Matsuzaki

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 $N$…

量子物理 · 物理学 2016-05-18 Sergey Knysh

Quantum annealing (QA) refers to an optimization process that uses quantum fluctuations to find the global minimum of a rugged energy landscape with many local minima. Conceptually, QA is often framed in the context of the disordered…

强关联电子 · 物理学 2021-05-27 S. Säubert , C. L. Sarkis , F. Ye , G. Luke , K. A. Ross

Quantum annealing is analogous to simulated annealing with a tunneling mechanism substituting for thermal activation. Its performance has been tested in numerical simulation with mixed conclusions. There is a class of optimization problems…

量子物理 · 物理学 2010-07-19 Thomas Jorg , Florent Krzakala , Jorge Kurchan , A. C. Maggs

Quantum annealing (QA) and Quantum Alternating Operator Ansatz (QAOA) are both heuristic quantum algorithms intended for sampling optimal solutions of combinatorial optimization problems. In this article we implement a rigorous direct…

量子物理 · 物理学 2023-08-31 Elijah Pelofske , Andreas Bärtschi , Stephan Eidenbenz

We report on two major hybrid applications of quantum computing, namely, the quantum approximate optimisation algorithm (QAOA) and the variational quantum eigensolver (VQE). Both are hybrid quantum classical algorithms as they require…

Quantum annealing is a generic name of quantum algorithms to use quantum-mechanical fluctuations to search for the solution of optimization problem. It shares the basic idea with quantum adiabatic evolution studied actively in quantum…

量子物理 · 物理学 2009-11-13 Satoshi Morita , Hidetoshi Nishimori

Quantum annealing is a heuristic optimization algorithm that exploits quantum evolution to approximately find lowest energy states. Quantum annealers have scaled up in recent years to tackle increasingly larger and more highly connected…

量子物理 · 物理学 2025-07-04 Humberto Munoz Bauza , Daniel A. Lidar

Finding the global minimum in a rugged potential landscape is a computationally hard task, often equivalent to relevant optimization problems. Simulated annealing is a computational technique which explores the configuration space by…

量子物理 · 物理学 2017-05-10 Tobias Graß , Maciej Lewenstein

We explain why quantum adiabatic evolution and simulated annealing perform similarly in certain examples of searching for the minimum of a cost function of n bits. In these examples each bit is treated symmetrically so the cost function…

量子物理 · 物理学 2007-05-23 Edward Farhi , Jeffrey Goldstone , Sam Gutmann

Brief description on the state of the art of some local optimization methods: Quantum annealing Quantum annealing (also known as alloy, crystallization or tempering) is analogous to simulated annealing but in substitution of thermal…

数据结构与算法 · 计算机科学 2014-04-10 Alfonso de la Fuente Ruiz

A recent Google study [Phys. Rev. X, 6:031015 (2016)] compared a D-Wave 2X quantum processing unit (QPU) to two classical Monte Carlo algorithms: simulated annealing (SA) and quantum Monte Carlo (QMC). The study showed the D-Wave 2X to be…

Quantum annealing (QA) is one of the efficient methods to calculate the ground-state energy of a problem Hamiltonian. In the absence of noise, QA can accurately estimate the ground-state energy if the adiabatic condition is satisfied.…

量子物理 · 物理学 2022-10-18 Yuta Shingu , Tetsuro Nikuni , Shiro Kawabata , Yuichiro Matsuzaki

Quantum annealing is a generic algorithm using quantum-mechanical fluctuations to search for the solution of an optimization problem. The present paper first reviews the fundamentals of quantum annealing and then reports on preliminary…

无序系统与神经网络 · 物理学 2010-06-10 Masayuki Ohzeki , Hidetoshi Nishimori

Annealing schedule control provides new opportunities to better understand the manner and mechanisms by which putative quantum annealers operate. By appropriately modifying the annealing schedule to include a pause (keeping the Hamiltonian…

量子物理 · 物理学 2021-01-22 Tameem Albash , Jeffrey Marshall

Quantum annealing (QA) is a heuristic search algorithm that can run on Adiabatic Quantum Computation (AQC) processors to solve combinatorial optimization problems. Although theoretical studies and simulations on classic hardware have shown…

Quantum Annealing (QA) uses quantum fluctuations to search for a global minimum of an optimization-type problem faster than classical computers. To meet the demand for future internet traffic and mitigate the spectrum scarcity, this work…

信息论 · 计算机科学 2023-01-11 Eldar Gabdulsattarov , Khaled Rabie , Xingwang Li , Galymzhan Nauryzbayev

Quantum(-inspired) annealers show promise in solving combinatorial optimisation problems in practice. There has been extensive researches demonstrating the utility of D-Wave quantum annealer and quantum-inspired annealer, i.e., Fujitsu…

量子物理 · 物理学 2022-09-27 Tian Huang , Jun Xu , Tao Luo , Xiaozhe Gu , Rick Goh , Weng-Fai Wong

Quantum annealing is a contender to solve combinatorial optimization problems based on quantum dynamics. While significant efforts have been undertaken to investigate the quality of the solutions and the required runtimes, much less…

统计力学 · 物理学 2023-06-05 Artem Rakcheev , Andreas M. Läuchli

Quantum annealing is typically regarded as a tool for combinatorial optimization, but its coherent dynamics also offer potential for machine learning. We present a model that encodes classical data into an Ising Hamiltonian, evolves it on a…