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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

Combinatorial optimization problems are ubiquitous in industrial applications. However, finding optimal or close-to-optimal solutions can often be extremely hard. Because some of these problems can be mapped to the ground-state search of…

Quantum Physics · Physics 2025-09-04 Junpeng Hou , Amin Barzegar , Helmut G. Katzgraber

Digital electronics is a technological cornerstone in our modern society which has covered the increasing demand in computing power during the last decades thanks to a periodic doubling of transistor density and power efficiency in…

Emerging Technologies · Computer Science 2022-03-29 Andrés Macho-Ortiz , Daniel Pérez-López , José Azaña , José Capmany

Triangle counting (TC) is a fundamental problem in graph analysis and has found numerous applications, which motivates many TC acceleration solutions in the traditional computing platforms like GPU and FPGA. However, these approaches suffer…

Hardware Architecture · Computer Science 2020-07-22 Xueyan Wang , Jianlei Yang , Yinglin Zhao , Yingjie Qi , Meichen Liu , Xingzhou Cheng , Xiaotao Jia , Xiaoming Chen , Gang Qu , Weisheng Zhao

Ising machines are a form of quantum-inspired processing-in-memory computer which has shown great promise for overcoming the limitations of traditional computing paradigms while operating at a fraction of the energy use. The process of…

Optimization and Control · Mathematics 2025-07-18 Isaac K. Martin , Andrew G. Moore , John T. Daly , Jess J. Meyer , Teresa M. Ranadive

The objective of our research is to demonstrate the practical usage and orders of magnitude speedup of real-world applications by using alternative technologies to support high performance computing. Currently, the main barrier to the…

Astrophysics · Physics 2007-11-22 Robert J. Brunner , Volodymyr V. Kindratenko , Adam D. Myers

The graph isomorphism problem remains a fundamental challenge in computer science, driving the search for efficient decision algorithms. Due to its ambiguous computational complexity, heuristic approaches such as simulated annealing are…

Quantum Physics · Physics 2025-05-06 Yukun Wang , Yingtong Shen , Zhichao Zhang , Linchun Wan

In this work, we experimentally demonstrate an integrated circuit (IC) of 30 relaxation oscillators with reconfigurable capacitive coupling to solve the NP-Hard Maximum Cut (Max-Cut) problem. We show that under the influence of an external…

The computing industry is forced to find alternative design approaches and computing platforms to sustain increased power efficiency, while providing sufficient performance. Among the examined solutions, Approximate Computing, Hardware…

Hardware Architecture · Computer Science 2024-09-09 Vasileios Leon

We introduce a thermodynamically consistent, minimal stochastic model for complementary logic gates built with field-effect transistors. We characterize the performance of such gates with tools from information theory and study the…

Statistical Mechanics · Physics 2021-08-25 Chloe Ya Gao , David T. Limmer

The past decade has seen the emergence of Ising machines targeting hard combinatorial optimization problems by minimizing the Ising Hamiltonian with spins represented by continuous dynamical variables. However, capabilities of these…

Emerging Technologies · Computer Science 2025-12-30 Aditya Shukla , Mikhail Erementchouk , Pinaki Mazumder

We present several efficient implementations of the simulated annealing algorithm for Ising spin glasses on sparse graphs. In particular, we provide a generic code for any choice of couplings, an optimized code for bipartite graphs, and…

Disordered Systems and Neural Networks · Physics 2015-09-25 S. V. Isakov , I. N. Zintchenko , T. F. Rønnow , M. Troyer

Graph is a well known data structure to represent the associated relationships in a variety of applications, e.g., data science and machine learning. Despite a wealth of existing efforts on developing graph processing systems for improving…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-28 Chuangyi Gui , Long Zheng , Bingsheng He , Cheng Liu , Xinyu Chen , Xiaofei Liao , Hai Jin

Ising machines show promise as ultrafast hardware for optimizations encoded in Ising Hamiltonians but fall short in terms of success rate and performance scaling. Here, we propose a novel Ising machine that exploits the three-dimensional…

The emergence of specialized optimization hardware such as CMOS annealers and adiabatic quantum computers carries the promise of solving hard combinatorial optimization problems more efficiently in hardware. Recent work has focused on…

Machine Learning · Computer Science 2020-03-05 Eldan Cohen , Avradip Mandal , Hayato Ushijima-Mwesigwa , Arnab Roy

Elegant is an accelerator physics and particle-beam dynamics code widely used for modeling and design of a variety of high-energy particle accelerators and accelerator-based systems. In this paper we discuss a recently developed version of…

Computational Physics · Physics 2018-11-22 J. R. King , I. V. Pogorelov , K. M. Amyx , M. Borland , R. Soliday

Recently there has been a lot of progress in the development of economic nonlinear model predictive control (NMPC) schemes for multistage optimal power flow (OPF) problems. However, the additional inclusion of discrete decision variables to…

Optimization and Control · Mathematics 2026-05-28 Jürgen Gutekunst , Armin Nurkanovic , Ekaterina Kostina , Hans Georg Bock , Robert Scholz , Amer Mesanovic

Quantum annealing has the potential to find low energy solutions of NP-hard problems that can be expressed as quadratic unconstrained binary optimization problems. However, the hardware of the quantum annealer manufactured by D-Wave…

Quantum Physics · Physics 2024-01-22 Elijah Pelofske , Georg Hahn , Hristo N. Djidjev

The recent availability of the first commercial quantum computers has provided a promising tool to tackle NP hard problems which can only be solved heuristically with present techniques. However, it is unclear if the current state of…

Quantum Physics · Physics 2018-02-01 Hristo N. Djidjev , Guillaume Chapuis , Georg Hahn , Guillaume Rizk

Neural Networks (NN) provide a solid and reliable way of executing different types of applications, ranging from speech recognition to medical diagnosis, speeding up onerous and long workloads. The challenges involved in their…

Hardware Architecture · Computer Science 2023-09-26 Federico Manca , Francesco Ratto
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