• DocumentCode
    1282872
  • Title

    Additive Asymmetric Quantum Codes

  • Author

    Ezerman, Martianus Frederic ; Ling, San ; Solé, Patrick

  • Author_Institution
    Div. of Math. Sci., Nanyang Technol. Univ., Singapore, Singapore
  • Volume
    57
  • Issue
    8
  • fYear
    2011
  • Firstpage
    5536
  • Lastpage
    5550
  • Abstract
    We present a general construction of asymmetric quantum codes based on additive codes under the trace Hermitian inner product. Various families of additive codes over F4 are used in the construction of many asymmetric quantum codes over F4.
  • Keywords
    BCH codes; Hermitian matrices; quantum computing; quantum theory; BCH code; Hermitian inner product; additive asymmetric quantum code; circulant code; nested code; Additives; Arrays; Equations; Indexes; Linear code; Quantum mechanics; Vectors; 4-circulant codes; BCH codes; MacDonald codes; additive codes; circulant codes; extremal codes; nested codes; quantum Singleton bound; quantum codes; self-orthogonal codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2159040
  • Filename
    5961818
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1282872