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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

  • Czech description

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