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"
}