| Higher-Rank Numerical Ranges and Compression Problems (2005) | |||||||||
Abstract | |||||||||
| 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.. Comment: 14 pages, 3 figures, to appear in Linear Algebra and its Applications | |||||||||
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