• DocumentCode
    2058179
  • Title

    On quantum MDS codes

  • Author

    Rötteler, Martin ; Grassl, Markus ; Beth, Thomas

  • Author_Institution
    Inst. for Quantum Comput., Waterloo Univ., Ont.
  • fYear
    2004
  • fDate
    2004
  • Firstpage
    356
  • Lastpage
    356
  • Abstract
    We construct maximum distance separable quantum error-correcting codes. The codes are defined over q-dimensional quantum systems, where q is any prime power. The construction yields quantum MDS codes of length up to q+1 for all possible dimensions and some quantum MDS codes of length up to q2+1. In particular, those families contain codes [[6,2,3]]p and [[7,3,3]]p for pges3 (cf. [K. Feng (2002)])
  • Keywords
    error correction codes; quantum communication; code length; maximum distance separable quantum error-correcting code; quantum MDS code; Cascading style sheets; Error correction codes; Quantum computing; Quantum mechanics; Reed-Solomon codes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
  • Conference_Location
    Chicago, IL
  • Print_ISBN
    0-7803-8280-3
  • Type

    conf

  • DOI
    10.1109/ISIT.2004.1365393
  • Filename
    1365393