GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE

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AFSHIN H.R.; BAGHERI S.; MEHRJOOFARD m.a.

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Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2015 | Volume:3 | Issue:1 Page(s): 31-38

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Title

GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE

Author(s)

AFSHIN H.R. | BAGHERI S. | MEHRJOOFARD m.a. | Issue Writer Certificate

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.

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.

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APA: Copy

AFSHIN, H.R., BAGHERI, S., & MEHRJOOFARD, m.a.. (2015). GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE. JOURNAL OF ALGEBRAIC SYSTEMS, 3(1 ), 31-38. SID. https://sid.ir/paper/268382/en

Vancouver: Copy

AFSHIN H.R., BAGHERI S., MEHRJOOFARD m.a.. GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2015;3(1 ):31-38. Available from: https://sid.ir/paper/268382/en

IEEE: Copy

H.R. AFSHIN, S. BAGHERI, and m.a. MEHRJOOFARD, “GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 3, no. 1 , pp. 31–38, 2015, [Online]. Available: https://sid.ir/paper/268382/en

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