Publication Details

On Comparison of Some Representations for the Evolution of Quantum Operators

BIDLO, M.; ŽUFAN, P. 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. p. 2101-2108. ISBN: 978-1-7281-2547-3.
Czech title
Srovnání některých reprezentací pro evoluční návrh kvantových operátorů
Type
conference paper
Language
English
Authors
Bidlo Michal, doc. Ing., Ph.D. (DCSY)
Žufan Petr, Ing.
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
DOI
10.1109/SSCI47803.2020.9308423
UT WoS
000682772902021
EID Scopus
2-s2.0-85099695805
BibTeX 
@inproceedings{BUT168139,
  author="Michal {Bidlo} and Petr {Žufan}",
  title="On Comparison of Some Representations for the Evolution of Quantum Operators",
  booktitle="2020 IEEE Symposium Series on Computational Intelligence, SSCI 2020",
  year="2020",
  pages="2101--2108",
  publisher="Institute of Electrical and Electronics Engineers",
  address="Canberra",
  doi="10.1109/SSCI47803.2020.9308423",
  isbn="978-1-7281-2547-3",
  url="https://ieeexplore.ieee.org/document/9308423"
}
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