• DocumentCode
    43514
  • Title

    Classification of q-Ary Perfect Quantum Codes

  • Author

    Zhuo Li ; Lijuan Xing

  • Author_Institution
    State Key Lab. of Integrated Services Networks, Xidian Univ., Xi´an, China
  • Volume
    59
  • Issue
    1
  • fYear
    2013
  • fDate
    Jan. 2013
  • Firstpage
    631
  • Lastpage
    634
  • Abstract
    We solve the problem of the classification of q-ary perfect quantum codes. We prove that the only nontrivial q-ary perfect quantum codes are those with the parameters (((q2l - 1)/(q2 - 1), qn - 2l,3))q. There exist no other nontrivial q -ary perfect quantum codes.
  • Keywords
    error correction codes; pattern classification; quantum communication; quantum theory; classification; nontrivial q-ary perfect quantum code; quantum error correcting code; quantum information; Educational institutions; Error correction; Error correction codes; Indexes; Polynomials; Quantum mechanics; Perfect quantum codes; quantum error-correcting codes; quantum information;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2012.2217475
  • Filename
    6303914
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=43514