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IEEE Access

Quantum Computing Optimization: An Introduction

Alejandro Giraldo-Quintero, Daniel Sierra-Sosa, Ibrahim N. Imam, Adel Said Elmaghraby

Published Jan 1, 2026• 1 citation
Publisher

Abstract

This review provides a comprehensive introduction to the current state of optimization through quantum computing, as well as its main methods and highlights. It begins with an overview of the history and principles of quantum computing, followed by a concise explanation of classical optimization techniques. References to key mathematical tools essential for understanding quantum optimization are introduced to assist readers new to the field. The review then explores various quantum optimization techniques, categorized by hardware requirements, pipelining strategies, kernel methods, order, continuity, heuristic and metaheuristic approaches. Graphs and charts are included to illustrate the interconnections between these techniques, enhancing understanding of their complementarity. Finally, the review concludes with some considerations about societal, economic and environmental impacts and a detailed table summarizing the different methods and their applications.

DOI
10.1109/access.2026.3685663

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Quantum computing is a revolutionary technology that has the potential to solve complex problems that classical computers cannot. This article provides an overview of the current state of quantum computing, including a brief history of its development, an explanation of the principles of quantum mechanics that underlie quantum computing, and a description of the major types of quantum computers and their current capabilities. The article also covers recent advances in quantum computing research, including efforts to develop practical quantum algorithms and to overcome the challenges of quantum error correction. Finally, the article concludes with a discussion of the potential applications of quantum computing in areas such as cryptography, drug discovery, and machine learning, as well as the challenges that must be overcome to realize these applications. Overall, this article aims to provide a comprehensive introduction to the exciting and rapidly-evolving field of quantum computing.
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