• DocumentCode
    1505620
  • Title

    Some good quantum error-correcting codes from algebraic-geometric codes

  • Author

    Chen, Hao

  • Author_Institution
    Dept. of Math., Zhongshan Univ., Guangzhou, China
  • Volume
    47
  • Issue
    5
  • fYear
    2001
  • fDate
    7/1/2001 12:00:00 AM
  • Firstpage
    2059
  • Lastpage
    2061
  • Abstract
    It is shown that quantum error correction can be achieved by the use of classical binary codes or additive codes over F4. In this correspondence, with the help of some algebraic techniques the theory of algebraic-geometric codes is used to construct an asymptotically good family of quantum error-correcting codes and other classes of good quantum error-correcting codes. Our results are compared with the known best quantum codes
  • Keywords
    algebraic geometric codes; binary codes; error correction codes; quantum communication; additive codes; algebraic-geometric codes; asymptotically good quantum codes; classical binary codes; quantum error correction; quantum error-correcting codes; Binary codes; Cascading style sheets; Computer science; Error correction codes; Galois fields; Information theory; Linear code; Mathematics; Poles and towers; Quantum mechanics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.930942
  • Filename
    930942
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1505620