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In this paper, we report new results on a novel Ising machine technology for solving combinatorial optimization problems using networks of coupled self-sustaining oscillators. Specifically, we present several working hardware prototypes…

Emerging Technologies · Computer Science 2019-04-24 Tianshi Wang , Leon Wu , Jaijeet Roychowdhury

We report on an analog computing system with coupled non-linear oscillators which is capable of solving complex combinatorial optimization problems using the weighted Ising model. The circuit is composed of a fully-connected 4-node LC…

Computational Physics · Physics 2019-08-28 Jeffrey Chou , Suraj Bramhavar , Siddhartha Ghosh , William Herzog

Optical Ising machines promise to solve complex optimization problems with an optical hardware acceleration advantage. Here we study the ground state properties of a nonlinear optical Ising machine realized by spatial light modulator,…

Optics · Physics 2023-02-20 Santosh Kumar , Zhaotong Li , Ting Bu , Chunlei Qu , Yuping Huang

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…

It has been known for a long time that the ground state problem of random magnets, e.g. random field Ising model (RFIM), can be mapped onto the max-flow/min-cut problem of transportation networks. I build on this approach, relying on the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sorin Bastea

Ising machines are novel computing devices for the energy minimization of Ising models. These combinatorial optimization problems are of paramount importance for science and technology, but remain difficult to tackle on large scale by…

Optics · Physics 2020-04-28 Davide Pierangeli , Giulia Marcucci , Daniel Brunner , Claudio Conti

Recently, the coherent Ising machine (CIM) as a degenerate optical parametric oscillator (DOPO) network has been researched to solve Ising combinatorial optimization problems. We formulate a theoretical model for the CIM with discrete-time…

Quantum Physics · Physics 2017-11-22 Atsushi Yamamura , Kazuyuki Aihara , Yoshihisa Yamamoto

The challenge posted by modern science is to find a way to compute the NP-hard problem. Here we present a coherent computation model based on the whispering-gallery mode micro-resonators. We introduce the optically connected…

Optics · Physics 2022-06-28 Yong-Pan Gao , Peng-Fei Lu , Chuan Wang

Coupled parametric oscillators were recently employed as simulators of artificial Ising networks, with the potential to solve computationally hard minimization problems. We demonstrate a new dynamical regime within the simplest network -…

Networks of coupled nonlinear oscillators are emerging as powerful physical platforms for implementing Ising machines. Yet the relationship between parametric-oscillator implementations and traditional oscillator-based Ising machines…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Nikhat Khan , E. M. H. E. B. Ekanayake , Nicolas Casilli , Cristian Cassella , Luke Theogarajan , Nikhil Shukla

Ising machines are physical platforms designed to minimize the energy of classical Ising Hamiltonians, yet accessing specific excited states remains an open challenge of both fundamental and practical relevance. In this letter we show that…

Quantum Physics · Physics 2026-04-15 Jacopo Tosca , Cristiano Ciuti , Claudio Conti , Marcello Calvanese Strinati

We develop a custom printed circuit board (PCB) for a low-power and high-speed accelerator of NP-Hard graph problems. The architecture implements an annealing-based computing paradigm using a network of nonlinear electronic oscillators…

Emerging Technologies · Computer Science 2026-01-13 Matt Bowring , Ben Anderson , Ben Tiffany

Time-multiplexed networks of degenerate optical parametric oscillators have demonstrated remarkable success in simulating coupled Ising spins, thus providing a promising route to solving complex combinatorial optimization problems. In these…

Ising machines (IM) have recently been proposed as unconventional hardware-based computation accelerators for solving NP-hard problems. In this work, we present a model for a time-multiplexed IM based on the nonlinear oscillations in a…

Mathematical Physics · Physics 2024-06-12 Roman V. Ovcharov , Victor H. González , Artem Litvinenko , Johan Åkerman , Roman S. Khymyn

Periodically driven parametric oscillators offer a convenient way to simulate classical Ising spins. When many parametric oscillators are coupled dissipatively, they can be analogous to networks of Ising spins, forming an effective coherent…

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

The general-purpose programmable photonic processors offer a scalable and reconfigurable solution for a wide range of RF and optical applications. Therefore, implementing photonic Ising machines using programmable processors leverages the…

Many combinatorial problems can be mapped to Ising machines, i.e., networks of coupled oscillators that settle to a minimum-energy ground state, from which the problem solution is inferred. This work proposes DROID, a novel event-driven…

Emerging Technologies · Computer Science 2025-02-27 Abhimanyu Kumar , Ramprasath S. , Chris H. Kim , Ulya R. Karpuzcu , Sachin S. Sapatnekar

Optical parametric oscillators (OPOs) are widely utilized in photonics as classical and quantum light sources. Conventional OPOs produce co-propagating signal and idler waves that can be either degenerately or non-degenerately…

Optics · Physics 2025-05-05 Fengyan Yang , Jiacheng Xie , Yiyu Zhou , Yubo Wang , Chengxing He , Yu Guo , Hong X. Tang

It has recently been shown that optical parametric oscillator (OPO) Ising machines, consisting of coupled optical pulses circulating in a cavity with parametric gain, can be used to probabilistically find low-energy states of Ising spin…