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A Gaussian quantum theory of bosonic modes has been widely used to describe quantum optical systems, including coherent Ising machines (CIMs) that consist of $\chi^{(2)}$ degenerate optical parametric oscillators (DOPOs) as nonlinear…

Quantum Physics · Physics 2024-03-04 Yoshitaka Inui , Edwin Ng , Yoshihisa Yamamoto

A new technique is demonstrated for carrying out exact positive-P phase-space simulations of the coherent Ising machine quantum computer. By suitable design of the coupling matrix, general hard optimization problems can be solved. Here,…

Quantum Physics · Physics 2022-02-09 Simon Kiesewetter , Peter D Drummond

The phase-integral method (PIM) is an asymptotic method of the geometrical optics or semi-classical type for solving approximately, but in many cases very accurately, a wide class of differential equations in physics. Unlike the related…

Mathematical Physics · Physics 2010-01-05 S. Yngve , B. Thidé

On-chip analog Ising Machines (IMs) are a promising means to solve difficult combinatorial optimization problems. For scalable on-chip realizations to be practical, 1) the problem should map scalably to Ising form, 2) interconnectivity…

Emerging Technologies · Computer Science 2023-10-03 Thomas Jagielski , Rajit Manohar , Jaijeet Roychowdhury

In this paper, we consider the harmonic extension problem, which is widely used in many applications of machine learning. We find that the transitional method of graph Laplacian fails to produce a good approximation of the classical…

Machine Learning · Computer Science 2015-09-23 Zuoqiang Shi , Jian Sun , Minghao Tian

Integrated sensing and communication (ISAC) is a promising candidate technology for 6G due to its improvement in spectral efficiency and energy efficiency. Orthogonal frequency division multiplexing (OFDM) signal is a mainstream candidate…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Lin Wang , Zhiqing Wei , Xu Chen , Zhiyong Feng

In this work we explain how to properly use mean-field methods to solve the inverse Ising problem when the phase space is clustered, that is many states are present. The clustering of the phase space can occur for many reasons, e.g. when a…

Disordered Systems and Neural Networks · Physics 2016-07-20 Aurélien Decelle , Federico Ricci-Tersenghi

Quantum criticality has received extensive attention due to its ability to significantly enhance quantum sensing. But its realization and control in many-body quantum systems remain challenging. We present an effective scheme to simulate…

Quantum Physics · Physics 2026-03-18 Shuang-Quan Ma , Jing-Yi-Ran Jin , Chen-Rui Fan , Chuan Wang , Qing Ai

Integrated sensing and communication (ISAC) have been widely recognized as a key enabler for future wireless networks, where the Cram\'er-Rao bound (CRB) plays a central role in quantifying sensing accuracy.In this paper, we present the…

Information Theory · Computer Science 2026-01-26 Qian Zhang , Yufei Zhao , Jiancheng An , Zheng Dong , Yong Liang Guan , Ju Liu , Chau Yuen

We present an oscillator model with both phase and amplitude dynamics for oscillator-based Ising machines (OIMs). The model targets combinatorial optimization problems with polynomial cost functions of arbitrary order and addresses…

Emerging Technologies · Computer Science 2026-03-17 Lianlong Sun , Matthew X. Burns , Michael C. Huang

Matching promises transparent causal inferences for observational data, making it an intuitive approach for many applications. In practice, however, standard matching methods often perform poorly compared to modern approaches such as…

Methodology · Statistics 2024-11-11 Jonathan Che , Xiang Meng , Luke Miratrix

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

Integrated sensing and communications (ISAC) enabled by unmanned aerial vehicles (UAVs) is a promising technology to facilitate target tracking applications. In contrast to conventional UAV-based ISAC system designs that mainly focus on…

Signal Processing · Electrical Eng. & Systems 2024-04-17 Yifan Jiang , Qingqing Wu , Wen Chen , Kaitao Meng

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

We study large networks of parametric oscillators as heuristic solvers of random Ising models. In these networks, known as coherent Ising machines, the model to be solved is encoded in the coupling between the oscillators, and a solution is…

Statistical Mechanics · Physics 2021-04-12 Marcello Calvanese Strinati , Leon Bello , Emanuele G. Dalla Torre , Avi Pe'er

Computing-in-memory (CIM) is renowned in deep learning due to its high energy efficiency resulting from highly parallel computing with minimal data movement. However, current SRAM-based CIM designs suffer from long latency for loading…

This document serves as supplementary material for a journal paper submission, presenting detailed mathematical proofs and derivations that support the results outlined in the main manuscript. In this work, we formulate an Integrated…

Signal Processing · Electrical Eng. & Systems 2025-04-14 Keivan Khosroshahi , Michael Suppa

Test optimization contains test case selection and minimization, which is an important challenge in software testing and has been addressed with search-based approaches intensively in the past. Inspired by the recent advancement of using…

Software Engineering · Computer Science 2026-04-14 Yige Yang , Man Zhang , Tao Yue

We present a computational method for full-range interferometric synthetic aperture microscopy (ISAM) under dispersion encoding. With this, one can effectively double the depth range of optical coherence tomography (OCT), whilst…

Image and Video Processing · Electrical Eng. & Systems 2020-02-03 Jonathan H. Mason , Mike E. Davies , Pierre O. Bagnaninchi

The Ising model is a simple statistical model for ferromagnetism. There are analytic solutions for low dimensions and very efficient Monte Carlo methods, such as cluster algorithms, for simulating this model in special cases. However most…

Computational Physics · Physics 2021-08-25 Johann Ostmeyer , Evan Berkowitz , Thomas Luu , Marcus Petschlies , Ferenc Pittler
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