• DocumentCode
    1248032
  • Title

    The Nonexistence of a [[{13,5,4}]] -Quantum Stabilizer Code

  • Author

    Bierbrauer, Jürgen ; Fears, Richard ; Marcugini, Stefano ; Pambianco, Fernanda

  • Author_Institution
    Dept. of Math. Sci., Michigan Technol. Univ., Houghton, MI, USA
  • Volume
    57
  • Issue
    7
  • fYear
    2011
  • fDate
    7/1/2011 12:00:00 AM
  • Firstpage
    4788
  • Lastpage
    4793
  • Abstract
    One of the oldest problems in the theory of quantum stabilizer codes is solved by proving the nonexistence of quantum [[13,5,4]]-codes.
  • Keywords
    error correction codes; quantum communication; quantum computing; quantum code nonexistence; quantum stabilizer code; Additives; Computers; Generators; Geometry; Information theory; Quantum mechanics; Additive code; codeline; dimension; hyperplane; quantum code; stabilizer code; strength; symplectic geometry; weight;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2146430
  • Filename
    5895052
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1248032