Condition for the higher rank numerical range to be non-empty
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Publication:3633147
DOI10.1080/03081080701786384zbMath1172.15014arXiv0706.1540OpenAlexW3098688460MaRDI QIDQ3633147
Nung-Sing Sze, Yiu-Tung Poon, Chi-Kwong Li
Publication date: 17 June 2009
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.1540
Quantum computation (81P68) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Canonical forms, reductions, classification (15A21)
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Cites Work
- Higher-rank numerical ranges and compression problems
- Quantum error correcting codes from the compression formalism
- On thekth matrix numerical range
- Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
- A simple proof of the elliptical range theorem
- Geometry of higher-rank numerical ranges
- The higher rank numerical range is convex
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