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This paper explores the applications of quantum annealing (QA) and classical simulated annealing (SA) to a suite of combinatorial optimization problems in machine learning, namely feature selection, instance selection, and clustering. We…

Quantum Physics · Physics 2025-07-22 Chloe Pomeroy , Aleksandar Pramov , Karishma Thakrar , Lakshmi Yendapalli

The advent of quantum algorithms has initiated a discourse on the potential for quantum speedups for optimization problems. However, several factors still hinder a practical realization of the potential benefits. These include the lack of…

We propose a novel type of minor-embedding (ME) in simulated-annealing-based Ising machines. The Ising machines can solve combinatorial optimization problems. Many combinatorial optimization problems are mapped to find the ground…

Statistical Mechanics · Physics 2020-12-07 Tatsuhiko Shirai , Shu Tanaka , Nozomu Togawa

The quantum approximate optimisation algorithm was proposed as a heuristic method for solving combinatorial optimisation problems on near-term quantum computers and may be among the first algorithms to perform useful computations in the…

Quantum Physics · Physics 2022-11-10 David Headley , Thorge Müller , Ana Martin , Enrique Solano , Mikel Sanz , Frank K. Wilhelm

During recent years, quantum computers have received increasing attention, primarily due to their ability to significantly increase computational performance for specific problems. Computational performance could be improved for…

Quantum Physics · Physics 2024-11-12 Ludger Leenders , Martin Sollich , Christiane Reinert , André Bardow

'Hybrid meta-heuristics' is one of the most interesting recent trends in the field of optimization and feature selection (FS). In this paper, we have proposed a binary variant of Atom Search Optimization (ASO) and its hybrid with Simulated…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Kushal Kanti Ghosh , Ritam Guha , Soulib Ghosh , Suman Kumar Bera , Ram Sarkar

Traditional simulated annealing utilizes thermal fluctuations for convergence in optimization problems. Quantum tunneling provides a different mechanism for moving between states, with the potential for reduced time scales. We compare…

Condensed Matter · Physics 2007-05-23 J. Brooke , D. Bitko , T. F. Rosenbaum , G. Aeppli

Quantum annealing was originally proposed as an approach for solving combinatorial optimisation problems using quantum effects. D-Wave Systems has released a production model of quantum annealing hardware. However, the inherent noise and…

Disordered Systems and Neural Networks · Physics 2021-03-16 Takehito Sato , Masayuki Ohzeki , Kazuyuki Tanaka

Topology optimization is an essential tool in computational engineering, for example, to improve the design and efficiency of flow channels. At the same time, Ising machines, including digital or quantum annealers, have been used as…

Computational Engineering, Finance, and Science · Computer Science 2024-11-14 Yudai Suzuki , Shiori Aoki , Fabian Key , Katsuhiro Endo , Yoshiki Matsuda , Shu Tanaka , Marek Behr , Mayu Muramatsu

Ising Machines are emerging hardware architectures that efficiently solve NP-Hard combinatorial optimization problems. Generally, combinatorial problems are transformed into quadratic unconstrained binary optimization (QUBO) form, but this…

Hardware Architecture · Computer Science 2025-09-12 Chirag Garg , Sayeef Salahuddin

Efficient production planning is essential in modern manufacturing to improve performance indicators such as lead time and to reduce reliance on human intuition. While mathematical optimization approaches, formulated as job shop scheduling…

Quantum Physics · Physics 2025-11-06 Kenta Sawamura , Kensuke Araki , Naoki Maruyama , Renichiro Haba , Masayuki Ohzeki

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

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

We propose and analyze the use of Bayesian optimization techniques to design quantum annealing schedules with minimal user and resource requirements. We showcase our scheme with results for two paradigmatic spin models. We find that…

Various combinatorial optimization NP-hard problems can be reduced to finding the minimizer of an Ising model, which is a discrete mathematical model. It is an intellectual challenge to develop some mathematical tools or algorithms for…

Optimization and Control · Mathematics 2023-12-01 Bowen Liu , Kaizhi Wang , Dongmei Xiao , Zhan Yu

The last couple of years have seen an ever-increasing interest in using different Ising solvers, like Quantum annealers, Coherent Ising machines, and Oscillator-based Ising machines, for solving tough computational problems in various…

Emerging Technologies · Computer Science 2024-04-09 Abhishek Kumar Singh , Kyle Jamieson

This work is a benchmark study for quantum-classical computing method with a real-world optimization problem from industry. The problem involves scheduling and balancing jobs on different machines, with a non-linear objective function. We…

Quantum Physics · Physics 2024-08-06 Abhishek Awasthi , Nico Kraus , Florian Krellner , David Zambrano

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

Quantum annealers provide an effective framework for solving large-scale combinatorial optimization problems. This work presents a novel methodology for training Variational Quantum Algorithms (VQAs) by reformulating the parameter…

Quantum Physics · Physics 2025-09-03 Ernesto Acosta , Guillermo Botella , Carlos Cano

Machine learning techniques have led to broad adoption of a statistical model of computing. The statistical distributions natively available on quantum processors are a superset of those available classically. Harnessing this attribute has…