Quantum computing based on complex Clifford algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU145694" target="_blank" >RIV/00216305:26210/22:PU145694 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11128-022-03648-w" target="_blank" >https://doi.org/10.1007/s11128-022-03648-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11128-022-03648-w" target="_blank" >10.1007/s11128-022-03648-w</a>
Alternative languages
Result language
angličtina
Original language name
Quantum computing based on complex Clifford algebras
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Quantum Information Processing
ISSN
1570-0755
e-ISSN
1573-1332
Volume of the periodical
21
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
1-21
UT code for WoS article
000854866500019
EID of the result in the Scopus database
2-s2.0-85138165168