GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2015Publisher:Shahrood University of Technology (SUT), Shahrood

Authors: Mehrjoofard, M. A.; Afshin, H. R.; Bagheri, S.;

doi: 10.22044/jas.2015.486

GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE

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Abstract

Summary: 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 notion of joint rank-$k$ numerical range is generalized and some statements of \textit{C.-K. Li} and \textit{Y.-T. Poon} [J. Oper. Theory 66, No. 2, 335--351 (2011; Zbl 1261.47012)] are extended.

Related Organizations

Vali Asr University of Rafsanjan
Iran (Islamic Republic of)

Keywords

generalized joint higher rank numerical range, Quantum information, communication, networks (quantum-theoretic aspects), Numerical range, numerical radius, joint matrix higher rank numerical range, joint matrix numerical range, generalized projector, joint higher rank numerical range

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