Publication result detail

Quantum computing based on complex Clifford algebras

HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.

Original Title

Quantum computing based on complex Clifford algebras

English Title

Quantum computing based on complex Clifford algebras

Type

WoS Article

Original Abstract

We propose to represent both n-qubits and quantum gates acting on them as elements in the complex Clifford algebra defined on a complex vector space of dimension 2n. In this framework, the Dirac formalism can be realized in straightforward way. We demonstrate its functionality by performing quantum computations with several well known examples of quantum gates. We also compare our approach with representations that use real geometric algebras.

English abstract

We propose to represent both n-qubits and quantum gates acting on them as elements in the complex Clifford algebra defined on a complex vector space of dimension 2n. In this framework, the Dirac formalism can be realized in straightforward way. We demonstrate its functionality by performing quantum computations with several well known examples of quantum gates. We also compare our approach with representations that use real geometric algebras.

Keywords

Quantum computing; Clifford algebras

Key words in English

Quantum computing; Clifford algebras

Authors

HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.

RIV year

2023

Released

17.09.2022

Publisher

SPRINGER

Location

NEW YORK

ISBN

1573-1332

Periodical

Quantum Information Processing

Volume

21

Number

9

State

United States of America

Pages from

1

Pages to

21

Pages count

21

URL

https://doi.org/10.1007/s11128-022-03648-w

BibTex

@article{BUT179308,
  author="Jaroslav {Hrdina} and Petr {Vašík} and Aleš {Návrat}",
  title="Quantum computing based on complex Clifford algebras",
  journal="Quantum Information Processing",
  year="2022",
  volume="21",
  number="9",
  pages="1--21",
  doi="10.1007/s11128-022-03648-w",
  issn="1570-0755",
  url="https://doi.org/10.1007/s11128-022-03648-w"
}