• DocumentCode
    50785
  • Title

    Duality in Entanglement-Assisted Quantum Error Correction

  • Author

    Ching-Yi Lai ; Brun, Todd A. ; Wilde, Mark M.

  • Author_Institution
    Electr. Eng. Dept., Univ. of Southern California, Los Angeles, CA, USA
  • Volume
    59
  • Issue
    6
  • fYear
    2013
  • fDate
    Jun-13
  • Firstpage
    4020
  • Lastpage
    4024
  • Abstract
    The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is defined from the orthogonal group of a simplified stabilizer group. From the Poisson summation formula, this duality leads to the MacWilliams identities and linear programming bounds for EAQEC codes. We establish a table of upper and lower bounds on the minimum distance of any maximal-entanglement EAQEC code with length up to 15 channel qubits.
  • Keywords
    Poisson distribution; linear programming; quantum computing; quantum entanglement; MacWilliams identities; Poisson summation formula; duality; entanglement-assisted quantum error correction; linear programming; maximal-entanglement EAQEC code; orthogonal group; stabilizer group; Educational institutions; Error correction codes; Linear programming; Quantum computing; Quantum entanglement; Silicon; Entanglement-assisted quantum error correction (EAQEC); MacWilliams identity; linear programming bound; quantum dual code;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2013.2246274
  • Filename
    6459023
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=50785