• DocumentCode
    1779793
  • Title

    The MacWilliams identity for quantum convolutional codes

  • Author

    Ching-Yi Lai ; Min-Hsiu Hsieh

  • Author_Institution
    Fac. of Eng. & Inf. Technol., Univ. of Technol., Sydney, NSW, Australia
  • fYear
    2014
  • fDate
    June 29 2014-July 4 2014
  • Firstpage
    911
  • Lastpage
    915
  • Abstract
    In this paper, we propose a definition of the dual code of a quantum convolutional code, with or without entanglement assistance. We then derive a MacWilliams identity for quantum convolutional codes. Along the way, we obtain a direct proof of the MacWilliams identity, first found by Gluesing-Luerssen and Schneider, in the setting of classical convolutional codes.
  • Keywords
    convolutional codes; dual codes; quantum entanglement; MacWilliams identity; direct proof; dual code; entanglement assistance; quantum convolutional code; Convolutional codes; Error correction codes; Quantum computing; Quantum entanglement; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ISIT), 2014 IEEE International Symposium on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/ISIT.2014.6874965
  • Filename
    6874965
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1779793