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Quantum optimization is the most mature quantum computing technology to date, providing a promising approach towards efficiently solving complex combinatorial problems. Methods such as adiabatic quantum computing (AQC) have been employed in…

With the advent of quantum computers, many quantum computing algorithms are being developed. Solving linear systems is one of the most fundamental problems in almost all science and engineering. The Harrow-Hassidim-Lloyd algorithm, a…

Quantum Physics · Physics 2022-01-25 Kyungtaek Jun

Simulated annealing (SA) is a key algorithm for solving combinatorial optimization problems, which model numerous real-world systems. While SA is commonly used to solve quadratic unconstrained binary optimization (QUBO) problems, many…

Statistical Mechanics · Physics 2026-05-05 Kohei Suzuki

With current semiconductor technology reaching its physical limits, special-purpose hardware has emerged as an option to tackle specific computing-intensive challenges. Optimization in the form of solving Quadratic Unconstrained Binary…

Quantum Physics · Physics 2022-02-22 Matthew Kowalsky , Tameem Albash , Itay Hen , Daniel A. Lidar

Abstraction layers are of paramount importance in software architecture, as they shield the higher-level formulation of payload computations from lower-level details. Since quantum computing (QC) introduces many such details that are often…

Quantum Physics · Physics 2024-09-04 Lukas Schmidbauer , Karen Wintersperger , Elisabeth Lobe , Wolfgang Mauerer

The break minimization problem is a fundamental problem in sports scheduling. Recently, its quadratic unconstrained binary optimization (QUBO) formulation has been proposed, which has gained much interest with the rapidly growing field of…

Discrete Mathematics · Computer Science 2023-07-04 Koichi Fujii , Tomomi Matsui

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 vehicle routing problem with time windows (VRPTW) is a common optimization problem faced within the logistics industry. In this work, we explore the use of a previously-introduced qubit encoding scheme to reduce the number of binary…

Quantum Physics · Physics 2023-09-20 Ioannis D. Leonidas , Alexander Dukakis , Benjamin Tan , Dimitris G. Angelakis

A common way of solving satisfiability instances with quantum methods is to transform these instances into instances of QUBO, which in itself is a potentially difficult and expensive task. State-of-the-art transformations from MAX-3SAT to…

Quantum computing promises to solve difficult optimization problems in chemistry, physics and mathematics more efficiently than classical computers, but requires fault-tolerant quantum computers with millions of qubits. To overcome errors…

Databases · Computer Science 2021-07-23 Tobias Fankhauser , Marc E. Solèr , Rudolf M. Füchslin , Kurt Stockinger

The Maximum Cut (Max-Cut) problem could be naturally expressed either in a Quadratic Unconstrained Binary Optimization (QUBO) formulation, or as an Ising model. It has long been known that the Maximum Independent Set (MIS) problem could…

Quantum Physics · Physics 2024-09-19 Chuixiong Wu , Jianan Wang , Fen Zuo

We study the performance scaling of three quantum algorithms for combinatorial optimization: measurement-feedback coherent Ising machines (MFB-CIM), discrete adiabatic quantum computation (DAQC), and the D\"urr-Hoyer algorithm for quantum…

The problem of selecting an appropriate number of features in supervised learning problems is investigated in this paper. Starting with common methods in machine learning, we treat the feature selection task as a quadratic unconstrained…

Quantum Physics · Physics 2023-06-21 Gerhard Hellstern , Vanessa Dehn , Martin Zaefferer

Existing protocols for benchmarking current quantum co-processors fail to meet the usual standards for assessing the performance of High-Performance-Computing platforms. After a synthetic review of these protocols -- whether at the gate,…

Quantum Physics · Physics 2021-07-27 Simon Martiel , Thomas Ayral , Cyril Allouche

Combinatorial optimization plays a crucial role in many industrial applications. While classical computing often struggles with complex instances, quantum optimization emerges as a promising alternative. Here, we present an enhanced…

Quantum-inspired optimization (QIO) algorithms are computational techniques that emulate certain quantum mechanical effects on a classical hardware to tackle a class of optimization tasks. QIO methods have so far been employed to solve…

Quantum Physics · Physics 2022-12-07 Rathi Munukur , Bhaskar Roy Bardhan , Devesh Upadhyay , Joydip Ghosh

Binary neural networks (BNNs) are increasingly deployed in edge computing applications due to their low hardware complexity and high energy efficiency. However, verifying the robustness of BNNs against input perturbations, including…

Emerging Technologies · Computer Science 2026-02-17 Rahul Singh , Seyran Saeedi , Zheng Zhang

In this paper we focus on the unconstrained binary quadratic optimization model, maximize x^t Qx, x binary, and consider the problem of identifying optimal solutions that are robust with respect to perturbations in the Q matrix.. We are…

Artificial Intelligence · Computer Science 2017-09-25 Mark Lewis , Gary Kochenberger , John Metcalfe

Critical decision-making issues in science, engineering, and industry are based on combinatorial optimization; however, its application is inherently limited by the NP-hard nature of the problem. A specialized paradigm of analogue quantum…

Quantum Physics · Physics 2026-02-04 Rudraksh Sharma , Ravi Katukam , Arjun Nagulapally

Variational Quantum Algorithms (VQAs) are promising methods for solving combinatorial optimization problems on noisy intermediate-scale quantum (NISQ) devices. However, benchmarking VQAs is difficult due to their stochastic behavior and the…