Publication Details

On Comparison of Some Representations for the Evolution of Quantum Operators

BIDLO Michal and ŽUFAN Petr. On Comparison of Some Representations for the Evolution of Quantum Operators. In: 2020 IEEE Symposium Series on Computational Intelligence, SSCI 2020. Canberra: Institute of Electrical and Electronics Engineers, 2020, pp. 2101-2108. ISBN 978-1-7281-2547-3. Available from: https://ieeexplore.ieee.org/document/9308423
Czech title
Srovnání některých reprezentací pro evoluční návrh kvantových operátorů
Type
conference paper
Language
english
Authors
Bidlo Michal, doc. Ing., Ph.D. (DCSY FIT BUT)
Žufan Petr, Ing. (DCSY FIT BUT)
URL
Keywords

quantum computing, unitary matrix, genetic algorithm, evolution strategy, representation technique

Abstract

This paper presents a comparative study regarding the evolutionary design of quantum operators in the form of unitary matrices. Three different techniques allowing the generation of unitary matrices are investigated whose parameters are tuned by means of evolutionary algorithms. Such problem may be considered as a numerical optimisation task because the unitary matrices are represented by complex numbers with real-valued coefficients. Specifically, Genetic Algorithm and Evolution Strategy are applied, each in four different setups, and evaluated on three case studies: the 2-qubit Controlled-NOT gate, 3-qubit entanglement operator and 4-qubit detector of an element with the maximum amplitude. The evolutionary algorithms in combination with the given representation techniques are evaluated in order to determine the abilities of various experimental setups to solve the given tasks. The main contribution is the utilisation of QR decomposition, a technique for generating unitary matrices from theoretically any sequence of complex numbers, that has been applied for the first time in this paper for the evolution of quantum operators. It will be demonstrated that the QR decomposition exhibits a good performance especially in solving more complex quantum operators in comparison with other representations.

Published
2020
Pages
2101-2108
Proceedings
2020 IEEE Symposium Series on Computational Intelligence, SSCI 2020
Conference
IEEE Symposium Series on Computational Intelligence 2020, Canberra, AU
ISBN
978-1-7281-2547-3
Publisher
Institute of Electrical and Electronics Engineers
Place
Canberra, AU
DOI
10.1109/SSCI47803.2020.9308423
UT WoS
000682772902021
EID Scopus
2-s2.0-85099695805
BibTeX 
@INPROCEEDINGS{FITPUB12328,
   author = "Michal Bidlo and Petr \v{Z}ufan",
   title = "On Comparison of Some Representations for the Evolution of Quantum Operators",
   pages = "2101--2108",
   booktitle = "2020 IEEE Symposium Series on Computational Intelligence, SSCI 2020",
   year = 2020,
   location = "Canberra, AU",
   publisher = "Institute of Electrical and Electronics Engineers",
   ISBN = "978-1-7281-2547-3",
   doi = "10.1109/SSCI47803.2020.9308423",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12328"
}
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