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We introduce a novel framework for simulating spin models using differentiable programming, an approach that leverages the advancements in machine learning and computational efficiency. We focus on three distinct spin systems: the Ising…

Statistical Mechanics · Physics 2024-05-28 Tiago de Souza Farias , Vitor Vaz Schultz , José Carlos Merino Mombach , Jonas Maziero

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

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…

Harnessing electron spin is crucial in developing energy-saving and high-speed devices for the next generation. In this scheme, visualizing spin-polarized electronic states aids in designing and developing new materials and devices.…

Materials Science · Physics 2024-04-03 Koichiro Yaji , Shunsuke Tsuda

When adapting Simultaneous Mapping and Localization (SLAM) to real-world applications, such as autonomous vehicles, drones, and augmented reality devices, its memory footprint and computing cost are the two main factors limiting the…

Robotics · Computer Science 2022-11-04 Yeonsoo Park , Soohyun Bae

Advancements in deep learning have ignited an explosion of research on efficient hardware for embedded computer vision. Hardware vision acceleration, however, does not address the cost of capturing and processing the image data that feeds…

Computer Vision and Pattern Recognition · Computer Science 2017-08-03 Mark Buckler , Suren Jayasuriya , Adrian Sampson

Computing-in-memory (CIM) has attracted significant attentions in recent years due to its massive parallelism and low power consumption. However, current CIM designs suffer from large area overhead of small CIM macros and bad programmablity…

Hardware Architecture · Computer Science 2022-05-04 Shu-Hung Kuo , Tian-Sheuan Chang

We explore a case example of networks of classical electronic oscillators evolving towards the solution of complex optimization problems. We show that when driven into subharmonic response, a network of such nonlinear electrical resonators…

Pattern Formation and Solitons · Physics 2022-04-04 L. Q. English , A. V. Zampetaki , K. P. Kalinin , N. G. Berloff , P. G. Kevrekidis

We propose and demonstrate a nonlinear optics approach to emulate Ising machines containing up to a million spins and with tailored two and four-body interactions with all-to-all connections. It uses a spatial light modulator to encode and…

Optics · Physics 2020-10-21 Santosh Kumar , He Zhang , Yu-Ping Huang

Many combinatorial optimization problems (COPs) are naturally expressed using variables that take on more than two discrete values. To solve such problems using Ising machines (IMs) - specialized analog or digital devices designed to solve…

Statistical Mechanics · Physics 2025-08-06 Robbe De Prins , Guy Van der Sande , Peter Bienstman , Thomas Van Vaerenbergh

Physics intelligence and digital twins often require rapid and repeated performance evaluation of various engineering systems (e.g. robots, autonomous vehicles, semiconductor chips) to enable (almost) real-time actions or decision making.…

Machine Learning · Computer Science 2026-02-10 Yequan Zhao , Xinling Yu , Xian Xiao , Zhixiong Chen , Ziyue Liu , Geza Kurczveil , Raymond G. Beausoleil , Sijia Liu , Zheng Zhang

In this article, we proposed a programmable 16-channel photonic solver for quadratic unconstrained binary optimization (QUBO) problems. The solver is based on a hybrid optoelectronic scheme including a photonic chip and the corresponding…

Emerging Technologies · Computer Science 2025-04-08 Jiayi Ouyang , Shengping Liu , Ziyue Yang , Wei Wang , Xue Feng , Yongzhuo Li , Yidong Huang

Solving intractable mathematical problems in simulators composed of atoms, ions, photons or electrons has recently emerged as a subject of intense interest. Here we extend this concept to phonons that are localised in spectrally pure…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 I. Mahboob , H. Yamaguchi

Combinatorial optimization problems are funda- mental for various fields ranging from finance to wireless net- works. This work presents a simulated bifurcation (SB) Ising solver in CMOS for NP-hard optimization problems. Analog domain…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Alana Marie Dee , Sajjad Moazeni

Photonic chip design has seen significant advancements with the adoption of inverse design methodologies, offering flexibility and efficiency in optimizing device performance. However, the black-box nature of the optimization approaches,…

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

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

Ising machines are dedicated hardware solvers of NP-hard optimization problems. However, they do not always find the most optimal solution. The probability of finding this optimal solution depends on the problem at hand. Using continuation…

Disordered Systems and Neural Networks · Physics 2024-12-10 Jacob Lamers , Guy Verschaffelt , Guy Van der Sande

Ising machines have emerged as promising platforms for efficiently tackling a wide range of combinatorial optimization problems relevant to resource allocation, statistical inference and deep learning, yet their practical utility is…

Optics · Physics 2025-10-03 Huaqiang Li , Guangfeng Wang , Erez Hasman , Bo Wang , Xianfeng Chen

Ising machines (IMs) are specialized devices designed to efficiently solve combinatorial optimization problems. Among such problems, Boolean Satisfiability (SAT) is particularly relevant in industrial applications. To solve SAT problems…

Statistical Mechanics · Physics 2025-08-01 Robbe De Prins , Guy Van der Sande , Peter Bienstman , Thomas Van Vaerenbergh