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Ising formulation is important for many NP problems (Lucas, 2014). This formulation enables implementing novel quantum computing methods including Quantum Approximate Optimization Algorithm and Variational Quantum Eigensolver (VQE). Here,…

Quantum Physics · Physics 2026-03-31 Omer Gurevich , Maor Matityahu , Tal Mor

Classical or quantum physical systems can simulate the Ising Hamiltonian for large-scale optimization and machine learning. However, devices such as quantum annealers and coherent Ising machines suffer an exponential drop in the probability…

Optics · Physics 2024-01-09 Marcello Calvanese Strinati , Claudio Conti

Recently, spatial photonic Ising machines (SPIMs) have demonstrated the abilities to compute the Ising Hamiltonian of large-scale spin systems, with the advantages of ultrafast speed and high power efficiency. However, such optical…

Optics · Physics 2024-01-17 Li Luo , Zhiyi Mi , Junyi Huang , Zhichao Ruan

The slowing down of Moore's Law has led to a crisis as the computing workloads of Artificial Intelligence (AI) algorithms continue skyrocketing. There is an urgent need for scalable and energy-efficient hardware catering to the unique…

Emerging Technologies · Computer Science 2023-10-11 Shuvro Chowdhury , Kerem Y. Camsari

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

Emerging Technologies · Computer Science 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

Verification of binary neural network (BNN) robustness is NP-hard, as it can be formulated as a combinatorial search for an adversarial perturbation that induces misclassification. Exact verification methods therefore scale poorly with…

Emerging Technologies · Computer Science 2026-03-09 Madhav Vadlamani , Rahul Singh , Yuyao Kong , Zheng Zhang , Shimeng Yu

Combinatorial optimization has wide applications from industry to natural science. Ising machines bring an emerging computing paradigm for efficiently solving a combinatorial optimization problem by searching a ground state of a given Ising…

Statistical Mechanics · Physics 2024-07-16 Kentaro Ohno , Tatsuhiko Shirai , Nozomu Togawa

The coherent Ising machine (CIM) enables efficient sampling of low-lying energy states of the Ising Hamiltonian with all-to-all connectivity by encoding the spins in the amplitudes of pulsed modes in an optical parametric oscillator (OPO).…

Quantum Physics · Physics 2021-03-22 Egor S. Tiunov , Alexander E. Ulanov , A. I. Lvovsky

Nature-inspired computation is receiving increasing attention. Various Ising machine implementations have recently been proven to be effective in solving numerous combinatorial optimization problems including maximum cut, low density parity…

Information Theory · Computer Science 2024-11-05 Ahmet Yusuf Salim , Bart Selman , Henry Kautz , Zeljko Ignjatovic , Selçuk Köse

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 annealer is a promising quantum-inspired computing architecture for combinatorial optimization problems. In this paper, we introduce an Ising annealer based on the Hamiltonian Monte Carlo, which updates the variables of all dimensions…

Quantum Physics · Physics 2025-01-15 Hao Wang , Zixuan Liu , Zhixin Xie , Langyu Li , Zibo Miao , Wei Cui , Yu Pan

Artificial Neural Networks (ANNs) have found widespread applications in tasks such as pattern recognition and image classification. However, hardware implementations of ANNs using conventional binary arithmetic units are computationally…

Neural and Evolutionary Computing · Computer Science 2017-09-14 Ankit Mondal , Ankur Srivastava

To tackle challenging combinatorial optimization problems, analog computing machines based on the nature-inspired Ising model are attracting increasing attentions in order to disruptively overcome the impending limitations on conventional…

Emerging Technologies · Computer Science 2023-12-07 Xin Ye , Wenjia Zhang , Shaomeng Wang , Xiaoxuan Yang , Zuyuan He

A promising paradigm of quantum computing for achieving practical quantum advantages is quantum annealing or quantum approximate optimization algorithm, where the classical problems are encoded in Ising interactions. However, it is…

Quantum Physics · Physics 2025-06-25 Yao Lu , Wentao Chen , Shuaining Zhang , Kuan Zhang , Jialiang Zhang , Jing-Ning Zhang , Kihwan Kim

Two-dimensional arrays of magnetically coupled nanomagnets provide a mesoscopic platform for exploring collective phenomena as well as realizing a broad range of spintronic devices. In particular, the magnetic coupling plays a critical role…

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

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…

Spiking neural network is a kind of neuromorphic computing that is believed to improve the level of intelligence and provide advantages for quantum computing. In this work, we address this issue by designing an optical spiking neural…

Quantum Physics · Physics 2023-10-25 Bo Lu , Yong-Pan Gao , Kai Wen , Chuan Wang

Intelligent mobile agents (e.g., UGVs and UAVs) typically demand low power/energy consumption when solving their machine learning (ML)-based tasks, since they are usually powered by portable batteries with limited capacity. A potential…

Neural and Evolutionary Computing · Computer Science 2025-04-21 Rachmad Vidya Wicaksana Putra , Muhammad Shafique

The coherent Ising machine (CIM) is a quantum-inspired computing platform that leverages optical parametric oscillation dynamics to solve combinatorial optimization problems by searching for the ground state of an Ising Hamiltonian.…

Quantum Physics · Physics 2025-09-18 Yan Chen Jiang , Lu Ma , Chuan Wang , Tie Jun Wang