GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE
Publish place: Journal of Algebraic Systems، Vol: 3، Issue: 1
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-3-1_004
تاریخ نمایه سازی: 30 آذر 1395
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 errorcorrecting 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.
Keywords:
Generalized projector , Joint higher rank numerical range , Joint matrix nu-merical range , Joint matrix higher rank numerical range , Generalized joint higher rank numerical range