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Recently, a programmable quantum annealing machine has been built that minimizes the cost function of hard optimization problems by adiabatically quenching quantum fluctuations. Tests performed by different research teams have shown that,…

Disordered Systems and Neural Networks · Physics 2014-04-14 Helmut G. Katzgraber , Firas Hamze , Ruben S. Andrist

Networks of optical oscillators simulating coupled Ising spins have been recently proposed as a heuristic platform to solve hard optimization problems. These networks, called coherent Ising machines (CIMs), exploit the fact that the…

Emerging Technologies · Computer Science 2021-11-15 Marcello Calvanese Strinati , Davide Pierangeli , Claudio Conti

Test optimization contains test case selection and minimization, which is an important challenge in software testing and has been addressed with search-based approaches intensively in the past. Inspired by the recent advancement of using…

Software Engineering · Computer Science 2026-04-14 Yige Yang , Man Zhang , Tao Yue

To enhance the performance of quantum annealing machines, several methods have been proposed to reduce the number of spins by fixing spin values through preprocessing. We proposed a hybrid optimization method that combines a simulated…

Statistical Mechanics · Physics 2025-07-22 Shuta Kikuchi , Nozomu Togawa , Shu Tanaka

Combinatorial problems such as combinatorial optimization and constraint satisfaction problems arise in decision-making across various fields of science and technology. In real-world applications, when multiple optimal or…

Data Structures and Algorithms · Computer Science 2025-11-10 Yuta Mizuno , Mohammad Ali , Tamiki Komatsuzaki

With the slowdown of improvement in conventional von Neumann systems, increasing attention is paid to novel paradigms such as Ising machines. They have very different approach to NP-complete optimization problems. Ising machines have shown…

Artificial Intelligence · Computer Science 2023-05-03 Anshujit Sharma , Matthew Burns , Andrew Hahn , Michael Huang

The development of physical simulators, called Ising machines, that sample from low energy states of the Ising Hamiltonian has the potential to drastically transform our ability to understand and control complex systems. However, most of…

Computational Physics · Physics 2021-03-10 Timothee Leleu , Farad Khoyratee , Timothee Levi , Ryan Hamerly , Takashi Kohno , Kazuyuki Aihara

Spatial photonic Ising machines (SPIMs) based on spatial light modulators (SLMs) have emerged as highly effective solvers for many tasks, including combinatorial optimization problems and spin-glass simulations. However, traditional SPIMs…

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

Quantum or quantum-inspired Ising machines have recently shown promise in solving combinatorial optimization problems in a short time. Real-world applications, such as time division multiple access (TDMA) scheduling for wireless multi-hop…

Emerging Technologies · Computer Science 2025-04-03 Yohei Hamakawa , Tomoya Kashimata , Masaya Yamasaki , Kosuke Tatsumura

The ground state search of the Ising model can be used to solve many combinatorial optimization problems. Under the current computer architecture, an Ising ground state search algorithm suitable for hardware computing is necessary for…

Computational Physics · Physics 2023-05-15 Zhelong Jiang , Gang Chen , Ruixiu Qiao , Pengcheng Feng , Yihao Chen , Junjia Su , Zhiyuan Zhao , Min Jin , Xu Chen , Zhigang Li , Huaxiang Lu

Ising solvers offer a promising physics-based approach to tackle the challenging class of combinatorial optimization problems. However, typical solvers operate in a quadratic energy space, having only pair-wise coupling elements which…

The mining in physics and biology for accelerating the hardcore algorithm to solve non-deterministic polynomial (NP) hard problems has inspired a great amount of special-purpose ma-chine models. Ising machine has become an efficient solver…

Emerging Technologies · Computer Science 2022-04-06 Wenchen Sun , Wenjia Zhang , Yuanyuan Liu , Qingwen Liu , Zuyuan He

Physical annealing systems provide heuristic approaches to solving NP-hard Ising optimization problems. Here, we study the performance of two types of annealing machines--a commercially available quantum annealer built by D-Wave Systems,…

There have been multiple attempts to demonstrate that quantum annealing and, in particular, quantum annealing on quantum annealing machines, has the potential to outperform current classical optimization algorithms implemented on CMOS…

A spatial photonic Ising machine (SPIM) handles large-scale combinatorial optimization problems owing to optical processing with spatial parallelism. However, iterative feedback in the search for optimal solutions limits processing speed…

Optics · Physics 2025-02-27 Suguru Shimomura , Jun Tanida , Yusuke Ogura

We perform an in-depth comparison of quantum annealing with several classical optimisation techniques, namely thermal annealing, Nelder-Mead, and gradient descent. We begin with a direct study of the 2D Ising model on a quantum annealer,…

Quantum Physics · Physics 2022-10-19 Steve Abel , Andrew Blance , Michael Spannowsky

Conventional computing architectures have no known efficient algorithms for combinatorial optimization tasks, which are encountered in fundamental areas and real-world practical problems including logistics, social networks, and…

We use superconducting qubit quantum annealing devices to determine the ground state of Ising models with algebraically decaying competing long-range interactions in the thermodynamic limit. This is enabled by a unit-cell-based optimization…

Quantum Physics · Physics 2025-11-12 Jan Alexander Koziol , Kai Phillip Schmidt

We present an oscillator model with both phase and amplitude dynamics for oscillator-based Ising machines (OIMs). The model targets combinatorial optimization problems with polynomial cost functions of arbitrary order and addresses…

Emerging Technologies · Computer Science 2026-03-17 Lianlong Sun , Matthew X. Burns , Michael C. Huang
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