• DocumentCode
    2421948
  • Title

    Optimization of LDGM-based quantum codes using Density Evolution

  • Author

    Liu, Kejing ; Garcia-Frias, Javier

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Delaware, Newark, DE, USA
  • fYear
    2010
  • fDate
    Sept. 29 2010-Oct. 1 2010
  • Firstpage
    881
  • Lastpage
    886
  • Abstract
    We introduce the use of Discrete Density Evolution (DDE) to optimize LDGM-based quantum codes. These are Calderbank-Shor-Steane (CSS) codes based on the generator and parity-check matrices of an LDGM code, which is designed with a specific structure inspired in the parallel concatenation of LDGM codes. The proposed codes allow greater flexibility and are easier to design than existing sparse-graph CSS quantum codes, while leading to better performance.
  • Keywords
    concatenated codes; error correction codes; optimisation; parity check codes; Calderbank-Shor-Steane codes; LDGM based quantum codes; discrete density evolution; low density generator matrix; optimization; parallel concatenation; parity check matrix; Decoding; Generators; Optimization; Parity check codes; Simulation; Sparse matrices; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communication, Control, and Computing (Allerton), 2010 48th Annual Allerton Conference on
  • Conference_Location
    Allerton, IL
  • Print_ISBN
    978-1-4244-8215-3
  • Type

    conf

  • DOI
    10.1109/ALLERTON.2010.5707001
  • Filename
    5707001