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. Preprints2023, 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
Oralbekov, B.; Durmagambetov, A.; Abenov, M.; Daulet, B. On the Group of Universal Gates for a Two-Qubit Quantum System. Preprints2023, 2023040206. https://doi.org/10.20944/preprints202304.0206.v1
APA Style
Oralbekov, B., Durmagambetov, A., Abenov, M., & Daulet, B. (2023). On the Group of Universal Gates for a Two-Qubit Quantum System. Preprints. https://doi.org/10.20944/preprints202304.0206.v1
Chicago/Turabian Style
Oralbekov, B., Maksut Abenov and Batyrzhan Daulet. 2023 "On the Group of Universal Gates for a Two-Qubit Quantum System" Preprints. 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
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.