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Quantum Register Algebra: The Basic Concepts

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F24%3APU151300" target="_blank" >RIV/00216305:26210/24:PU151300 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-031-34031-4_10" target="_blank" >http://dx.doi.org/10.1007/978-3-031-34031-4_10</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-34031-4_10" target="_blank" >10.1007/978-3-031-34031-4_10</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quantum Register Algebra: The Basic Concepts

  • Original language description

    We introduce Quantum Register Algebra (QRA) as an efficient tool for quantum computing. We show the direct link between QRA and Dirac formalism. We present GAALOP (Geometric Algebra Algorithms Optimizer) implementation of our approach. Using the QRA basis vectors definitions given in Sect. 4 and the framework based on the de Witt basis presented in Sect. 5, we are able to fully describe and compute with QRA in GAALOP using the geometric product. We illustrate the intuitiveness of this computation by presenting the QRA form for the well known SWAP operation on a two qubit register.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10200 - Computer and information sciences

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2024

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Advanced Computational Applications of Geometric Algebra

  • ISBN

    978-3-031-34030-7

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    112-122

  • Publisher name

    SPRINGER INTERNATIONAL PUBLISHING AG

  • Place of publication

    CHAM

  • Event location

    Denver

  • Event date

    Oct 2, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    001207009400010