Publication detail

On Comparison of Some Representations for the Evolution of Quantum Operators

BIDLO, M. ŽUFAN, P.

Original Title

On Comparison of Some Representations for the Evolution of Quantum Operators

Type

conference paper

Language

English

Original 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.

Keywords

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

Authors

BIDLO, M.; ŽUFAN, P.

Released

1. 12. 2020

Publisher

Institute of Electrical and Electronics Engineers

Location

Canberra

ISBN

978-1-7281-2547-3

Book

2020 IEEE Symposium Series on Computational Intelligence, SSCI 2020

Pages from

2101

Pages to

2108

Pages count

8

URL

https://ieeexplore.ieee.org/document/9308423

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"
}