• DocumentCode
    2300878
  • Title

    Non-additive quantum codes from Goethals and Preparata codes

  • Author

    Grassl, Markus ; Rötteler, Martin

  • Author_Institution
    Inst. for Quantum Opt. & Quantum Inf., Austrian Acad. of Sci., Innsbruck
  • fYear
    2008
  • fDate
    5-9 May 2008
  • Firstpage
    396
  • Lastpage
    400
  • Abstract
    We extend the stabilizer formalism to a class of nonadditive quantum codes which are constructed from non-linear classical codes. As an example, we present infinite families of nonadditive codes which are derived from Goethals and Preparata codes.
  • Keywords
    codes; quantum communication; Goethals and Preparata codes; nonadditive quantum codes; nonlinear classical codes; stabilizer formalism; Binary codes; Boolean functions; Cascading style sheets; Circuits; Encoding; Error correction codes; Laboratories; National electric code; Nonlinear optics; Tensile stress;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop, 2008. ITW '08. IEEE
  • Conference_Location
    Porto
  • Print_ISBN
    978-1-4244-2269-2
  • Electronic_ISBN
    978-1-4244-2271-5
  • Type

    conf

  • DOI
    10.1109/ITW.2008.4578694
  • Filename
    4578694