Multiplicative maps preserving the higher rank numerical ranges and radii

DOI10.1016/j.laa.2009.10.019zbMath1193.15025OpenAlexW2068467094MaRDI QIDQ967489

Chi-Kwong Li, Sean Clark, Nung-Sing Sze

Publication date: 29 April 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.019

zbMATH Keywords

quantum information theorycomplex matricesquantum error correcting codesnumerical radiushigher rank numerical rangesmultiplicative preservers

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Linear preserver problems (15A86) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)

Related Items (3)

Multiplicative preservers of higher-dimensional numerical ranges ⋮ Continuous multiplicative maps of Toeplitz algebras ⋮ Unnamed Item

Cites Work

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• Linear Maps on Selfadjoint Operators Preserving Invertibility, Positive Definiteness, Numerical Range
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• Theory of Quantum Error Correction for General Noise
• Linear preservers of higher rank numerical ranges and radii
• Higher-rank numerical ranges of unitary and normal matrices
• Geometry of higher-rank numerical ranges
• The higher rank numerical range is convex
• A survey on linear preservers of numerical ranges and radii

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