Detail publikačního výsledku

Quantum computing based on complex Clifford algebras

HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.

Originální název

Quantum computing based on complex Clifford algebras

Anglický název

Quantum computing based on complex Clifford algebras

Druh

Článek WoS

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

Quantum computing; Clifford algebras

Klíčová slova v angličtině

Quantum computing; Clifford algebras

Autoři

HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.

Rok RIV

2023

Vydáno

17.09.2022

Nakladatel

SPRINGER

Místo

NEW YORK

ISSN

1573-1332

Periodikum

Quantum Information Processing

Svazek

21

Číslo

9

Stát

Spojené státy americké

Strany od

1

Strany do

21

Strany počet

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"
}