Preprint Short Note Version 1 Preserved in Portico This version is not peer-reviewed

On the Group of Universal Gates for a Two-Qubit Quantum System

Version 1 : Received: 10 April 2023 / Approved: 11 April 2023 / Online: 11 April 2023 (07:13:21 CEST)

How to cite: Oralbekov, B.; Durmagambetov, A.; Abenov, M.; Daulet, B. On the Group of Universal Gates for a Two-Qubit Quantum System. Preprints 2023, 2023040206. https://doi.org/10.20944/preprints202304.0206.v1 Oralbekov, B.; Durmagambetov, A.; Abenov, M.; Daulet, B. On the Group of Universal Gates for a Two-Qubit Quantum System. Preprints 2023, 2023040206. https://doi.org/10.20944/preprints202304.0206.v1

Abstract

The goal of finding a commutative group of gates from the set of unitary matrices is to simplify the process of quantum computing. If a set of gates is commutative, then we can apply the gates in any order without affecting the final outcome. This is important because quantum systems are very sensitive to errors and decoherence, and any disruption to the system can cause errors in the computation.By having a commutative group of gates, we can simplify the process of designing quantum algorithms and reduce the risk of errors. This is particularly important for solving complex computational problems that cannot be solved by classical computers.

Keywords

Quantum computing; Abelian group; quantum gates

Subject

Computer Science and Mathematics, Computational Mathematics

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