Higher-Rank Numerical Ranges and Compression Problems
Man-Duen Choi, David W. Kribs, Karol Zyczkowski
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.
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