• DocumentCode
    1153288
  • Title

    A low-rate bound on the reliability of a quantum discrete memoryless channel

  • Author

    Barg, Alexander

  • Author_Institution
    Lucent Technol. Bell Labs., Murray Hill, NJ, USA
  • Volume
    48
  • Issue
    12
  • fYear
    2002
  • fDate
    12/1/2002 12:00:00 AM
  • Firstpage
    3096
  • Lastpage
    3100
  • Abstract
    We extend a low-rate improvement of the random coding bound on the reliability of a classical discrete memoryless channel (DMC) to its quantum counterpart. The key observation that we make is that the problem of bounding below the error exponent for a quantum channel relying on the class of stabilizer codes is equivalent to the problem of deriving error exponents for a certain symmetric classical channel.
  • Keywords
    coding errors; decoding; error correction codes; error statistics; memoryless systems; quantum communication; random codes; decoding; error exponent; error exponents; error probability; low-rate bound; low-rate random coding bound; quantum discrete memoryless channel reliability; quantum error-correcting codes; quantum information theory; stabilizer codes; Code standards; Concrete; Decoding; Error correction codes; Error probability; Galois fields; Information theory; Memoryless systems; Quantum mechanics; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2002.805080
  • Filename
    1077801