Publication detail

Advances in Evolutionary Optimization of Quantum Operators

BIDLO, M. ŽUFAN, P.

Original Title

Advances in Evolutionary Optimization of Quantum Operators

Type

journal article in Scopus

Language

English

Original Abstract

Three existing techniques (representations) which allow generating unitary matrices are used in various evolutionary algorithms in order to optimize their coefficients. The objective is to obtain as precise quantum operators (the resulting unitary matrices) as possible for given quantum transformations. Ordinary evolution strategy, self-adaptive evolution strategy and differential evolution are applied with various settings as the optimization algorithms for the quantum operators. These algorithms are evaluated on the tasks of designing quantum operators for 3- and 4-qubit maximum amplitude detector and a solver of a logic function of three variables in conjunctive normal form. These tasks require require unitary matrices of various sizes. It will be demonstrated that the self-adaptive evolution strategy and differential evolution are able to produce remarkably better results than the ordinary evolutiona strategy. Moreover, the results can be improved by selecting a proper settings for the evolution as presented by a comparative evaluation. A comparative study is presented regarding the evolutionary design of quantum operators in the form of unitary matrices.

Keywords

Evolution strategy, differential evolution, self-adaptation of control parameters, quantum operator, unitary matrix.

Authors

BIDLO, M.; ŽUFAN, P.

Released

21. 12. 2021

ISBN

1803-3814

Periodical

Mendel Journal series

Year of study

27

Number

2

State

Czech Republic

Pages from

12

Pages to

22

Pages count

11

URL

https://mendel-journal.org/index.php/mendel/article/view/152/161

BibTex

@article{BUT176789,
  author="Michal {Bidlo} and Petr {Žufan}",
  title="Advances in Evolutionary Optimization of Quantum Operators",
  journal="Mendel Journal series",
  year="2021",
  volume="27",
  number="2",
  pages="12--22",
  doi="10.13164/mendel.2021.2.012",
  issn="1803-3814",
  url="https://mendel-journal.org/index.php/mendel/article/view/152/161"
}