Higher-Rank Numerical Ranges and Compression Problems

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We consider higher-rank versions of the standard numerical range for matrices. A central motivation for this investigation comes from quantum error correction. We develop the basic structure theory for the higher-rank numerical ranges, and give a complete description in the Hermitian case. We also consider associated projection compression problems.
14 pages, 3 figures, to appear in Linear Algebra and its Applications

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Functional Analysis, Operator Algebras, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/104879

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511278
 http://arxiv.org/abs/math/0511278
 Lin. Alg. Appl., 418 (2006), 828-839.

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arXiv