Higher-Rank Numerical Ranges and Compression Problems
classification
🧮 math.FA
math.OAquant-ph
keywords
higher-ranknumericalcompressionconsiderproblemsrangesassociatedbasic
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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.
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