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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

Solving linear systems is at the foundation of many algorithms. Recently, quantum linear system algorithms (QLSAs) have attracted great attention since they converge to a solution exponentially faster than classical algorithms in terms of…

量子物理 · 物理学 2024-04-01 Zeguan Wu , Sidhant Misra , Tamás Terlaky , Xiu Yang , Marc Vuffray

Quantum and quantum-inspired optimisation algorithms are designed to solve problems represented in binary, quadratic and unconstrained form. Combinatorial optimisation problems are therefore often formulated as Quadratic Unconstrained…

人工智能 · 计算机科学 2022-05-27 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Matthieu Parizy

The Path Integral Monte Carlo simulated Quantum Annealing algorithm is applied to the optimization of a large hard instance of the Random 3-SAT Problem (N=10000). The dynamical behavior of the quantum and the classical annealing are…

无序系统与神经网络 · 物理学 2009-11-11 Demian Battaglia , Giuseppe Santoro , Erio Tosatti

Quantum linear system algorithms (QLSAs) for gate-based quantum computing can provide exponential speedups for solving linear systems but face challenges when applied to finite element problems due to the growth of the condition number with…

量子物理 · 物理学 2023-10-20 Osama Muhammad Raisuddin , Suvranu De

Quantum Annealing (QA) can efficiently solve combinatorial optimization problems whose objective functions are represented by Quadratic Unconstrained Binary Optimization (QUBO) formulations. For broader applicability of QA, quadratization…

量子物理 · 物理学 2025-07-29 Hyakka Nakada , Shu Tanaka

In this paper we present a novel strategy to solve optimization problems within a hybrid quantum-classical scheme based on quantum annealing, with a particular focus on QUBO problems. The proposed algorithm is based on an iterative…

量子物理 · 物理学 2020-04-07 Enrico Blanzieri , Davide Pastorello

We investigate the use of quantum computing algorithms on real quantum hardware to tackle the computationally intensive task of feature selection for light-weight medical image datasets. Feature selection is often formulated as a k of n…

量子物理 · 物理学 2025-02-27 Merlin A. Nau , Luca A. Nutricati , Bruno Camino , Paul A. Warburton , Andreas K. Maier

Technologies and lifestyles have been increasingly geared toward consumerism in recent years. Accordingly, it is both the price and the delivery time that matter most to the ultimate customers of commercial enterprises. Consequently, the…

系统与控制 · 电气工程与系统科学 2022-09-02 Sina Aghakhani , Mohammad Sadra Rajabi

In this paper, we show the design and implementation of a quantum algorithm for industrial shift scheduling (QISS), which uses Grover's adaptive search to tackle a common and important class of valuable, real-world combinatorial…

Although quantum computing hardware has evolved significantly in recent years, spurred by increasing industrial and government interest, the size limitation of current generation quantum computers remains an obstacle when applying these…

量子物理 · 物理学 2020-01-20 Gideon Bass , Max Henderson , Joshua Heath , Joseph Dulny

Optimisation plays a central role in a wide range of scientific and industrial applications, and quantum computing has been widely proposed as a means to achieve computational advantages in this domain. To date, research into the design of…

量子物理 · 物理学 2026-02-03 Stuart Ferguson , Petros Wallden

With the rapid development of quantum computers, quantum algorithms have been studied extensively. However, quantum algorithms tackling statistical problems are still lacking. In this paper, we propose a novel non-oracular quantum adaptive…

统计方法学 · 统计学 2021-07-20 Wenxuan Zhong , Yuan Ke , Ye Wang , Yongkai Chen , Jinyang Chen , Ping Ma

Heterogeneous HPC workflow scheduling under multiple hard constraints poses a challenging combinatorial optimization problem. Classical exact solvers guarantee optimality but face scalability limits, motivating interest in quantum-inspired…

分布式、并行与集群计算 · 计算机科学 2026-05-26 Aasish Kumar Sharma , Christian Boehme , Julian Kunkel

We assess the prospects for algorithms within the general framework of quantum annealing (QA) to achieve a quantum speedup relative to classical state of the art methods in combinatorial optimization and related sampling tasks. We argue for…

量子物理 · 物理学 2021-06-22 E. J. Crosson , D. A. Lidar

Solving NP-hard constrained combinatorial optimization problems using quantum algorithms remains a challenging yet promising avenue toward quantum advantage. Variational Quantum Algorithms (VQAs), such as the Variational Quantum Eigensolver…

量子物理 · 物理学 2025-07-28 Xin Wei Lee , Hoong Chuin Lau

This paper presents the details and testing of two implementations (in C++ and Python) of the hybrid quantum-classical algorithm Quantum Annealing Learning Search (QALS) on a D-Wave quantum annealer. QALS was proposed in 2019 as a novel…

新兴技术 · 计算机科学 2022-12-22 Andrea Bonomi , Thomas De Min , Enrico Zardini , Enrico Blanzieri , Valter Cavecchia , Davide Pastorello

Field-Programmable Gate Arrays (FPGAs) have asserted themselves as vital assets in contemporary computing by offering adaptable, reconfigurable hardware platforms. FPGA-based accelerators incubate opportunities for breakthroughs in areas,…

The Traveling Salesman Problem (TSP) is a fundamental challenge in combinatorial optimization, widely applied in logistics and transportation. As the size of TSP instances grows, traditional algorithms often struggle to produce high-quality…

Quantum algorithms for solving the Quantum Linear System (QLS) problem are among the most investigated quantum algorithms of recent times, with potential applications including the solution of computationally intractable differential…

量子物理 · 物理学 2021-11-10 Davide Orsucci , Vedran Dunjko