Quantum computing based on complex Clifford algebras

Kód výsledku v 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>
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
Quantum computing based on complex Clifford algebras
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Quantum computing based on complex Clifford algebras
Popis výsledku anglicky
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.

Rok uplatnění
2022
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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