GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE

Authors

  • H. R. Afshin department of mathematics, Vali-e-Asr University of Rafsanjan, Iran
  • M. A. Mehrjoofard Department of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman
  • S. Bagheri department of mathematics, Vali-e-Asr University of Rafsanjan
Abstract:

The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For 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 notion of joint rank-k numerical range is generalized and some statements of [2011, Generalized numerical ranges and quantum error correction, J. Operator Theory, 66: 2, 335-351.] are extended.

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Journal title

volume 3  issue 1

pages  31- 38

publication date 2015-06-01

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