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We show how to leverage quantum annealers to better select candidates in greedy algorithms. Unlike conventional greedy algorithms that employ problem-specific heuristics for making locally optimal choices at each stage, we use quantum…

量子物理 · 物理学 2020-02-06 Ramin Ayanzadeh , Milton Halem , John Dorband , Tim Finin

We introduce transverse ferromagnetic interactions, in addition to a simple transverse field, to quantum annealing of the random-field Ising model to accelerate convergence toward the target ground state. The conventional approach using…

量子物理 · 物理学 2007-06-13 Sei Suzuki , Hidetoshi Nishimori , Masuo Suzuki

We propose a nonadiabatic approach to quantum annealing, in which we repeat quantum annealing in nonadiabatic time scales, and collect the final states of many realizations to find the ground state among them. In this way, we replace the…

统计力学 · 物理学 2013-03-26 Hitoshi Katsuda , Hidetoshi Nishimori

We show how to leverage quantum annealers (QAs) to better select candidates in greedy algorithms. Unlike conventional greedy algorithms that employ problem-specific heuristics for making locally optimal choices at each stage, we use QAs…

量子物理 · 物理学 2022-08-04 Ramin Ayanzadeh , John E Dorband , Milton Halem , Tim Finin

We introduce a two-parameter approximate counter-diabatic term into the Hamiltonian of the transverse-field Ising model for quantum annealing to accelerate convergence to the solution, generalizing an existing single-parameter approach. The…

Adiabatic quantum computing is a universal model for quantum computing whose implementation using a gate-based quantum computer requires depths that are unreachable in the early fault-tolerant era. To mitigate the limitations of near-term…

量子物理 · 物理学 2024-10-18 Ioannis Kolotouros , Ioannis Petrongonas , Miloš Prokop , Petros Wallden

Adiabatic control is a fundamental technique for manipulating quantum systems, guided by the quantum adiabatic theorem, which ensures suppressed nonadiabatic transitions under slow parameter variations. Quantum annealing, a heuristic…

量子物理 · 物理学 2025-01-22 Yuta Shingu , Takuya Hatomura

We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. The idea is tested by the two models, the transverse Ising model and the traveling salesman…

量子物理 · 物理学 2007-05-23 Tadashi Kadowaki

Quantum annealing is a promising algorithm for solving combinatorial optimization problems. It searches for the ground state of the Ising model, which corresponds to the optimal solution of a given combinatorial optimization problem. The…

统计力学 · 物理学 2026-02-25 Tomohiro Hattori , Shu Tanaka

A greedy algorithm is proposed for sparse-sensor selection in reduced-order sensing that contains correlated noise in measurement. The sensor selection is carried out by maximizing the determinant of the Fisher information matrix in a…

最优化与控制 · 数学 2021-04-28 Keigo Yamada , Yuji Saito , Koki Nankai , Taku Nonomura , Keisuke Asai , Daisuke Tsubakino

This paper implements a quantum greedy optimization algorithm based on the discretization of time evolution (d-QGO). Quantum greedy optimization, which was originally developed for reducing processing time via counterdiabatic driving,…

量子物理 · 物理学 2023-06-16 Tadayoshi Matsumori , Tadashi Kadowaki

In this work, we study Bayesian quantum parameter estimation given a finite number of uses of the process encoding one or more unknown physical quantities. For multiple uses, it is conventional to classify quantum metrological protocols as…

量子物理 · 物理学 2026-02-11 Erik L. André , Jessica Bavaresco , Mohammad Mehboudi

Although many efficient heuristics have been developed to solve binary optimization problems, these typically produce correlated solutions for degenerate problems. Most notably, transverse-field quantum annealing - the heuristic employed in…

无序系统与神经网络 · 物理学 2019-06-27 Zheng Zhu , Andrew J. Ochoa , Helmut G. Katzgraber

A general time-dependent quantum system can be driven fast from its initial ground state to its final ground state without generating transitions by adding a steering term to the Hamiltonian. We show how this technique can be modified to…

量子物理 · 物理学 2018-12-11 A. Barış Özgüler , Robert Joynt , Maxim G. Vavilov

We consider parametrized linear-quadratic optimal control problems and provide their online-efficient solutions by combining greedy reduced basis methods and machine learning algorithms. To this end, we first extend the greedy control…

最优化与控制 · 数学 2023-07-31 Hendrik Kleikamp , Martin Lazar , Cesare Molinari

Quantum annealing, which involves quantum tunnelling among possible solutions, has state-of-the-art applications not only in quickly finding the lowest-energy configuration of a complex system, but also in quantum computing. Here we report…

强关联电子 · 物理学 2024-11-28 Yuqian Zhao , Zhaohua Ma , Zhangzhen He , Haijun Liao , Yan-Cheng Wang , Junfeng Wang , Yuesheng Li

Quantum annealing is a heuristic algorithm for searching the ground state of an Ising model. Heuristic algorithms aim to obtain near-optimal solutions with a reasonable computation time. Accordingly, many algorithms have so far been…

量子物理 · 物理学 2022-11-09 Shuntaro Okada , Masayuki Ohzeki

In the computational model of quantum annealing, the size of the minimum gap between the ground state and the first excited state of the system is of particular importance, since it is inversely proportional to the running time of the…

量子物理 · 物理学 2022-06-16 Ana Palacios de Luis , Artur Garcia-Saez , Marta P. Estarellas

We explore the role of entanglement in adiabatic quantum optimization by performing approximate simulations of the real-time evolution of a quantum system while limiting the amount of entanglement. To classically simulate the time evolution…

无序系统与神经网络 · 物理学 2015-01-29 Bela Bauer , Lei Wang , Iztok Pižorn , Matthias Troyer

Many image processing applications benefited remarkably from the theory of sparsity. One model of sparsity is the cosparse analysis one. It was shown that using l_1-minimization one might stably recover a cosparse signal from a small set of…

数值分析 · 数学 2015-02-10 Raja Giryes
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