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The spatial photonic Ising machine has achieved remarkable advancements in solving combinatorial optimization problems. However, it still remains a huge challenge to flexibly mapping an arbitrary problem to Ising model. In this paper, we…

Emerging Technologies · Computer Science 2023-09-06 Shaomeng Wang , Wenjia Zhang , Xin Ye , Zuyuan He

The recent emergence of novel computational devices, such as adiabatic quantum computers, CMOS annealers, and optical parametric oscillators, present new opportunities for hybrid-optimization algorithms that are hardware accelerated by…

Optimization and Control · Mathematics 2019-06-20 Carleton Coffrin , Harsha Nagarajan , Russell Bent

The last couple of years have seen an ever-increasing interest in using different Ising solvers, like Quantum annealers, Coherent Ising machines, and Oscillator-based Ising machines, for solving tough computational problems in various…

Emerging Technologies · Computer Science 2024-04-09 Abhishek Kumar Singh , Kyle Jamieson

This paper proposes a novel optimization framework for discrete phase shifts of a reconfigurable intelligent surface (RIS) using a coherent Ising machine (CIM). Unlike conventional methods based on iterative convex approximation or…

Information Theory · Computer Science 2026-04-01 Yuto Hama , Daisuke Kitayama , Kensuke Inaba , Toshimori Honjo , Hiroki Takesue , Naoki Ishikawa , Hiroyuki Takahashi

Coherent Ising Machines (CIMs) have emerged as a hybrid form of quantum computing devices designed to solve NP-complete problems, offering an exciting opportunity for discovering optimal solutions. Despite challenges such as susceptibility…

Ising machines are purported to be better at solving large-scale combinatorial optimisation problems better than conventional von Neumann computers. However, these Ising machines are widely believed to be heuristics, whose promise is…

Quantum Physics · Physics 2023-12-08 Sayantan Pramanik , Sourav Chatterjee , Harshkumar Oza

Emerging analog computing substrates, such as oscillator-based Ising machines, offer rapid convergence times for combinatorial optimization but often suffer from limited scalability due to physical implementation constraints. To tackle…

Emerging Technologies · Computer Science 2026-02-19 Ruihong Yin , Yue Zheng , Chaohui Li , Ahmet Efe , Abhimanyu Kumar , Ziqing Zeng , Ulya R. Karpuzcu , Sachin S. Sapatnekar , Chris H. Kim

Physics-inspired computing paradigms, such as Ising machines, are emerging as promising hardware alternatives to traditional von Neumann architectures for tackling computationally intensive combinatorial optimization problems (COPs). While…

Applied Physics · Physics 2026-03-17 Sai Li , Yihao Zhang , Albert Lee , Zheng Zhu , Lang Zeng , Peng Wang , Lei Gao , Di Wu , Weisheng Zhao

Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar…

Disordered Systems and Neural Networks · Physics 2019-08-28 Tushar Kanti Bose , Roderich Moessner , Arnab Sen

Optical Ising machines have emerged as a promising dynamical hardware solver for computational hard optimization problems. These Ising machines typically require an optical modulator to represent the analog spin variables of these problems.…

Applied Physics · Physics 2026-03-05 Toon Sevenants , Guy Van der Sande , Guy Verschaffelt

We contribute to the mathematical theory of the design of low temperature Ising machines, a type of experimental probabilistic computing device implementing the Ising model. Encoding the output of a function in the ground state of a…

Emerging Technologies · Computer Science 2025-07-18 Andrew G. Moore , Zachary Richey , Isaac K. Martin

Ising machines as hardware solvers of combinatorial optimization problems (COPs) can efficiently explore large solution spaces due to their inherent parallelism and physics-based dynamics. Many important COP classes such as satisfiability…

In recent years, hardware implementations of Ising machines have emerged as a viable alternative to quantum computing for solving hard optimization problems among other applications. Unlike quantum hardware, dense connectivity can be…

The inverse Ising problem seeks to reconstruct the parameters of an Ising Hamiltonian on the basis of spin configurations sampled from the Boltzmann measure. Over the last decade, many applications of the inverse Ising problem have arisen,…

Disordered Systems and Neural Networks · Physics 2017-09-13 Johannes Berg

In this study, we present a novel analytical approach to solving large-scale Ising problems by reformulating the discrete Ising Hamiltonian into a continuous framework. This transformation enables us to derive exact solutions for a…

Computational Physics · Physics 2025-08-04 Amirhossein Rezaei , Mahmood Hasani , Alireza Rezaei , S. M. Hassan Halataei

Simulating a network of Ising spins with physical systems is now emerging as a promising approach for solving mathematically intractable problems. Here we report a large-scale network of artificial spins based on degenerate optical…

Ising machines -- special-purpose hardware for heuristically solving Ising optimization problems -- based on probabilistic bits (p-bits) have been established as a promising alternative to heuristic optimization algorithms run on…

Oscillator Ising machines (OIMs) represent an exemplar case of using physics-inspired non-linear dynamical systems to solve computationally challenging combinatorial optimization problems (COPs). The computational performance of such…

Machine Learning · Computer Science 2025-04-15 E. M. H. E. B. Ekanayake , N. Shukla

Computationally hard problems, including combinatorial optimization, can be mapped into the problem of finding the ground-state of an Ising Hamiltonian. Building physical systems with collective computational ability and distributed…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Sourav Dutta , Abhishek Khanna , Adou S. Assoa , Hanjong Paik , Darrell Schlom , Zoltan Toroczkai , Arijit Raychowdhury , Suman Datta

The race to heuristically solve non-deterministic polynomial-time (NP) problems through efficient methods is ongoing. Recently, optics was demonstrated as a promising tool to find the ground state of a spin-glass Ising Hamiltonian, which…

Disordered Systems and Neural Networks · Physics 2022-03-14 Gianni Jacucci , Louis Delloye , Davide Pierangeli , Mushegh Rafayelyan , Claudio Conti , Sylvain Gigan