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"
}