GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE | ||
| Journal of Algebraic Systems | ||
| مقاله 4، دوره 3، شماره 1، آذر 2015، صفحه 31-38 اصل مقاله (166.15 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2015.486 | ||
| نویسندگان | ||
| H. R. Afshin؛ S. Bagheri؛ M. A. Mehrjoofard* | ||
| Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| generalized projector؛ joint higher rank numerical range؛ joint matrix numerical range؛ joint matrix higher rank numerical range؛ generalized joint higher rank numerical range | ||
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