Publication detail

Quantum computing based on complex Clifford algebras

HRDINA, J. VAŠÍK, P. NÁVRAT, A.

English title

Quantum computing based on complex Clifford algebras

Type

journal article in Web of Science

Language

en

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 in English

Quantum computing; Clifford algebras

Released

17.09.2022

Publisher

SPRINGER

Location

NEW YORK

ISSN

1573-1332

Volume

21

Number

9

Pages from–to

1–21

Pages count

21

BIBTEX


@article{BUT179308,
  author="Jaroslav {Hrdina} and Petr {Vašík} and Aleš {Návrat},
  title="Quantum computing based on complex Clifford algebras",
  year="2022",
  volume="21",
  number="9",
  month="September",
  pages="1--21",
  publisher="SPRINGER",
  address="NEW YORK",
  issn="1573-1332"
}