A Brief Review on Mathematical Tools Applicable to Quantum Computing for Modelling and Optimization Problems in Engineering

Yousra Mahmoudi; Nadjet Zioui; Hacène Belbachir; Mohamed Tadjine; Abdelmounaam Rezgui

doi:10.28991/ESJ-2023-07-01-020

Authors

Yousra Mahmoudi
yousra.mahmoudi@uqtr.ca
1) Université du Québec í Trois-Rivières, 3351 Boulevard des Forges, Trois-Rivières, QC G8Z 4M3, Canada. 2) Laboratoire RECITS, Université de la Science et de la Technologie Houari Boumediene, BP 32 Bab Ezzouar, 16111, Algiers,, Algeria
Nadjet Zioui Université du Québec í Trois-Rivières, 3351 Boulevard des Forges, Trois-Rivières, QC G8Z 4M3,, Canada http://orcid.org/0000-0003-1579-4053
Hacène Belbachir 2) Laboratoire RECITS, Université de la Science et de la Technologie Houari Boumediene, BP 32 Bab Ezzouar, 16111, Algiers, Algeria. 3) CERIST, 05, Rue des 3 frères aissou , Ben Aknoun – Algiers,, Algeria
Mohamed Tadjine í‰cole Nationale Polytechnique of Algiers, 10 Rue des Frères OUDEK, El Harrach 16200,, Algeria
Abdelmounaam Rezgui School of Information Technology, Illinois State University, Illinois,, United States

Vol. 7 No. 1 (2023): February

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Since its emergence, quantum computing has enabled a wide spectrum of new possibilities and advantages, including its efficiency in accelerating computational processes exponentially. This has directed much research towards completely novel ways of solving a wide variety of engineering problems, especially through describing quantum versions of many mathematical tools such as Fourier and Laplace transforms, differential equations, systems of linear equations, and optimization techniques, among others. Exploration and development in this direction will revolutionize the world of engineering. In this manuscript, we review the state of the art of these emerging techniques from the perspective of quantum computer development and performance optimization, with a focus on the most common mathematical tools that support engineering applications. This review focuses on the application of these mathematical tools to quantum computer development and performance improvement/optimization. It also identifies the challenges and limitations related to the exploitation of quantum computing and outlines the main opportunities for future contributions. This review aims at offering a valuable reference for researchers in fields of engineering that are likely to turn to quantum computing for solutions.

Doi: 10.28991/ESJ-2023-07-01-020

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Mahmoudi, Y., Zioui, N., Belbachir, H., Tadjine, M., & Rezgui, A. (2022). A Brief Review on Mathematical Tools Applicable to Quantum Computing for Modelling and Optimization Problems in Engineering. Emerging Science Journal, 7(1), 289–312. https://doi.org/10.28991/ESJ-2023-07-01-020

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A Brief Review on Mathematical Tools Applicable to Quantum Computing for Modelling and Optimization Problems in Engineering

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A Brief Review on Mathematical Tools Applicable to Quantum Computing for Modelling and Optimization Problems in Engineering

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