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A pivotal task for quantum computing is to speed up solving problems that are both classically intractable and practically valuable. Among these, combinatorial optimization problems have attracted tremendous attention due to their broad…

Analog Ising machines have been proposed as heuristic hardware solvers for combinatorial optimization problems, with the potential to outperform conventional approaches, provided that their hyperparameters are carefully tuned. Their…

Machine Learning · Computer Science 2026-03-05 Toon Sevenants , Guy Van der Sande , Guy Verschaffelt

Ising Machine is a promising computing approach for solving combinatorial optimization problems. It is naturally suited for energy-saving and compact in-memory computing implementations with emerging memories. A na\"ive in-memory computing…

Hardware Architecture · Computer Science 2024-01-30 George Higgins Hutchinson , Ethan Sifferman , Tinish Bhattacharya , Dmitri B. Strukov

Compared to traditional rigid robotics, soft robotics has attracted increasing attention due to its advantages as compliance, safety, and low cost. As an essential part of soft robotics, the soft robotic gripper also shows its superior…

Robotics · Computer Science 2021-12-30 Xing Wang , Hanwen Kang , Hongyu Zhou , Wesley Au , Chao Chen

One of the main bottlenecks in solving combinatorial optimization problems with quantum annealers is the qubit connectivity in the hardware. A possible solution for larger connectivty is minor embedding. This techniques makes the…

Quantum Physics · Physics 2024-05-24 Michele Cattelan , Jemma Bennett , Sheir Yarkoni , Wolfgang Lechner

We provide a non-unit disk framework to solve combinatorial optimization problems such as Maximum Cut (Max-Cut) and Maximum Independent Set (MIS) on a Rydberg quantum annealer. Our setup consists of a many-body interacting Rydberg system…

Quantum Physics · Physics 2024-07-31 Kapil Goswami , Rick Mukherjee , Herwig Ott , Peter Schmelcher

A common representation of a three dimensional object in computer applications, such as graphics and design, is in the form of a triangular mesh. In many instances, individual or groups of triangles in such representation need to satisfy…

Optimization and Control · Mathematics 2019-04-08 Valentin R. Koch , Hung M. Phan

As we approach the physical limits predicted by Moore's law, a variety of specialized hardware is emerging to tackle specialized tasks in different domains. Within combinatorial optimization, adiabatic quantum computers, CMOS annealers, and…

Data Structures and Algorithms · Computer Science 2020-12-01 Xiaoyuan Liu , Hayato Ushijima-Mwesigwa , Avradip Mandal , Sarvagya Upadhyay , Ilya Safro , Arnab Roy

It is challenging to scale Ising machines for industrial-level problems due to algorithm or hardware limitations. Although higher-order Ising models provide a more compact encoding, they are, however, hard to physically implement. This work…

Artificial Intelligence · Computer Science 2024-12-19 Yunuo Cen , Zhiwei Zhang , Zixuan Wang , Yimin Wang , Xuanyao Fong

Quantum annealing is a heuristic algorithm for searching the ground state of an Ising model. Heuristic algorithms aim to obtain near-optimal solutions with a reasonable computation time. Accordingly, many algorithms have so far been…

Quantum Physics · Physics 2022-11-09 Shuntaro Okada , Masayuki Ohzeki

Computationally intractable tasks are often encountered in physics and optimization. Such tasks often comprise a cost function to be optimized over a so-called feasible set, which is specified by a set of constraints. This may yield, in…

Quantum Physics · Physics 2023-04-25 Borja Requena , Gorka Muñoz-Gil , Maciej Lewenstein , Vedran Dunjko , Jordi Tura

Oscillator-based Ising/Potts machines (OIMs/OPMs) are promising hardware accelerators for NP-hard combinatorial optimization problems using coupled oscillator synchronization dynamics. Analog OIMs/OPMs offer speed advantages but have…

Hardware Architecture · Computer Science 2026-04-16 Yilmaz Ege Gonul , Baris Taskin

Combinatorial optimization problems are computationally hard in general, but they are ubiquitous in our modern life. A coherent Ising machine (CIM) based on a multiple-pulse degenerate optical parametric oscillator (DOPO) is an alternative…

We consider the minimum-energy control of a car, which is modelled as a point mass sliding on the ground in a fixed direction, and so it can be mathematically described as the double integrator. The control variable, representing the…

Optimization and Control · Mathematics 2018-04-12 Heinz H. Bauschke , Regina S. Burachik , C. Yalçın Kaya

An increasing penetration of renewable generation has led to reduced levels of rotational inertia and damping in the system. The consequences are higher vulnerability to disturbances and deterioration of the dynamic response of the system.…

Optimization and Control · Mathematics 2020-05-25 Ashwin Venkatraman , Uros Markovic , Dmitry Shchetinin , Evangelos Vrettos , Petros Aristidou , Gabriela Hug

Recent advances in quantum technology have led to the development and manufacturing of experimental programmable quantum annealers that promise to solve certain combinatorial optimization problems of practical relevance faster than their…

Quantum Physics · Physics 2016-05-31 Itay Hen , Federico M. Spedalieri

Quantum annealing promises to solve complex combinatorial optimization problems faster than current transistor-based computer technologies. Although to date only one commercially-available quantum annealer is procurable, one can already…

Quantum Physics · Physics 2018-06-21 Helmut G. Katzgraber

Efficient preparation of spin-squeezed states is important for quantum-enhanced metrology. Current protocols for generating strong spin squeezing rely on either high dimensionality or long-range interactions. A key challenge is how to…

Quantum Physics · Physics 2023-12-27 Zheng-Hang Sun , Yong-Yi Wang , Yu-Ran Zhang , Franco Nori , Heng Fan

In this work, we introduce three algorithmic improvements to reduce the cost and improve the scaling of orbital space variational Monte Carlo (VMC). First, we show that by appropriately screening the one- and two-electron integrals of the…

Chemical Physics · Physics 2018-07-30 Iliya Sabzevari , Sandeep Sharma

We propose an algorithm to obtain numerically approximate solutions of the direct Ising problem, that is, to compute the free energy and the equilibrium observables of spin systems with arbitrary two-spin interactions. To this purpose we…

Statistical Mechanics · Physics 2019-11-20 Simona Cocco , Giancarlo Croce , Francesco Zamponi
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