• Title of article

    GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE

  • Author/Authors

    AFSHIN، HAMID REZA نويسنده , , Bagheri، Sedigheh نويسنده Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran. , , MEHRJOOFARD، MOHAMMAD ALI نويسنده ,

  • Issue Information
    دوفصلنامه با شماره پیاپی 0 سال 2015
  • Pages
    8
  • From page
    31
  • To page
    38
  • Abstract
    The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For a noisy quantum channel, a quantum error correcting code of dimension k exists, if and only if the associated joint rank-k numerical range is non-empty. In this paper, the no- tion of joint rank-k numerical range is generalized, and some state- ments of [2011, Generalized numerical ranges and quantum error correction, J. Operator Theory, 66: 2, 335-351.] are extended.
  • Journal title
    Journal of Algebraic Systems
  • Serial Year
    2015
  • Journal title
    Journal of Algebraic Systems
  • Record number

    2388982