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We discuss efficient methods to optimize the metrological performance over local Hamiltonians in a bipartite quantum system. For a given quantum state, our methods find the best local Hamiltonian for which the state outperforms separable…

Quantum Physics · Physics 2026-05-25 Árpád Lukács , Róbert Trényi , Tamás Vértesi , Géza Tóth

Photonic Ising Machines constitute an emergent new paradigm of computation, geared towards tackling combinatorial optimization problems that can be reduced to the problem of finding the ground state of an Ising model. Spatial Photonic Ising…

Memristors have recently received significant attention as ubiquitous device-level components for building a novel generation of computing systems. These devices have many promising features, such as non-volatility, low power consumption,…

Emerging Technologies · Computer Science 2017-10-25 Sijia Liu , Yanzhi Wang , Makan Fardad , Pramod K. Varshney

The spatial photonic Ising machine (SPIM) is a promising optical hardware solver for large-scale combinatorial optimization problems with dense interactions. As the SPIM can represent Ising problems with rank-one coupling matrices,…

Disordered Systems and Neural Networks · Physics 2026-02-03 Hiroshi Yamashita , Hideyuki Suzuki

Computationally hard combinatorial optimization problems are pervasive in science and engineering, yet their NP-hard nature renders them increasingly inefficient to solve on conventional von Neumann architectures as problem size grows.…

Emerging Technologies · Computer Science 2025-12-22 Yu Qian , Alptekin Vardar , Konrad Seidel , David Lehninger , Maximilian Lederer , Zhiguo Shi , Cheng Zhuo , Kai Ni , Thomas Kämpfe , Xunzhao Yin

A 64-spin all-to-all current-mode coupling Ising machine is implemented in 65 nm CMOS. The design supports 31 coefficient levels in 0.943 mm2 and achieves Energy-to-Solution (ETS) of 2.28 nJ/edge-bit. Continuous programming refresh not only…

Hardware Architecture · Computer Science 2026-03-31 Ahmet Yusuf Salim , Jianan Wu , Soner Seçkiner , Eslam Elmitwalli , Selçuk Köse , Zeljko Ignjatovic

Combinatorial optimization problems have wide-ranging applications in industry and academia. Quantum computers may help solve them by sampling from carefully prepared Ansatz quantum circuits. However, current quantum computers are limited…

Quantum Physics · Physics 2025-11-07 Sabina Drăgoi , Alberto Baiardi , Daniel J. Egger

The quest to solve hard combinatorial optimization problems efficiently -- still a longstanding challenge for traditional digital computers -- has inspired the exploration of many alternate computing models and platforms. As a case in…

Combinatorial optimization is a broadly attractive area for potential quantum advantage, but no quantum algorithm has yet made the leap. Noise in quantum hardware remains a challenge, and more sophisticated quantum-classical algorithms are…

The oscillator-based Ising machine (OIM) is a network of coupled CMOS oscillators that solves combinatorial optimization problems. In this paper, the distribution of the injection-locking oscillations throughout the circuit is proposed to…

Emerging Technologies · Computer Science 2020-12-17 M. Ali Vosoughi

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

Ising machines, which are dynamical systems designed to operate in a parallel and iterative manner, have emerged as a new paradigm for solving combinatorial optimization problems. Despite computational advantages, the quality of solutions…

Statistical Mechanics · Physics 2026-01-30 Shu Zhou , K. Y. Michael Wong , Juntao Wang , David Shui Wing Hui , Daniel Ebler , Jie Sun

Spatial photonic Ising machines offer a novel optical platform for optimization and spin-model simulation, but existing diffraction-based schemes rely on auxiliary spins or multiplexing to encode high-rank couplings and external fields,…

Optics · Physics 2026-05-12 Ze Zheng , Yuegang Li , Hang Xu , Jingzheng Huang , Tailong Xiao , Guihua Zeng

Extractive summarization (ES) aims to generate a concise summary by selecting a subset of sentences from a document while maximizing relevance and minimizing redundancy. Although modern ES systems achieve high accuracy using powerful neural…

Machine Learning · Computer Science 2026-01-26 Ziqing Zeng , Abhimanyu Kumar , Ahmet Efe , Ruihong Yin , Chris H. Kim , Ulya R. Karpuzcu , Sachin S. Sapatnekar

The coherent Ising machine (CIM) is a nonconventional hardware architecture for finding approximate solutions to large-scale combinatorial optimization problems. It operates by annealing a laser gain parameter to adiabatically deform a…

Disordered Systems and Neural Networks · Physics 2025-10-28 Federico Ghimenti , Adithya Sriram , Atsushi Yamamura , Hideo Mabuchi , Surya Ganguli

We report on a new class of Ising Machines (IMs) that rely on coupled parametric frequency dividers (PFDs) as macroscopic artificial spins. Unlike the IM counterparts based on subharmonic injection locking (SHIL), PFD IMs do not require…

Ising machines and related probabilistic hardware have emerged as promising platforms for NP-hard optimization and sampling. However, many practical problems involve constraints that induce dense or all-to-all couplings, undermining…

Statistical Mechanics · Physics 2026-05-22 Kevin Callahan-Coray , Kyle Lee , Kyle Jiang , Kerem Y. Camsari

Sparse Ising problems can be found in application areas such as logistics, condensed matter physics and training of deep Boltzmann networks, but can be very difficult to tackle with high efficiency and accuracy. This report presents new…

Machine Learning · Computer Science 2023-11-17 Kenneth M. Zick

We propose a neural network model, which, with appropriate assignment of the stability of its equilibrium points (EPs), achieves Hopfield-like associative memory. The oscillator Ising machine (OIM) is an ideal candidates for such a model,…

Neural and Evolutionary Computing · Computer Science 2025-07-22 Yi Cheng , Zongli Lin

The need for solving optimization problems is prevalent in a wide range of physical applications, including neuroscience, network design, biological systems, socio-economics, and chemical reactions. Many of these are classified as…

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