Detail publikace

Quantum computing based on complex Clifford algebras

HRDINA, J. VAŠÍK, P. NÁVRAT, A.

Anglický název

Quantum computing based on complex Clifford algebras

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova anglicky

Quantum computing; Clifford algebras

Vydáno

17.09.2022

Nakladatel

SPRINGER

Místo

NEW YORK

ISSN

1573-1332

Ročník

21

Číslo

9

Strany od–do

1–21

Počet stran

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"
}