Real higher rank numerical ranges and ellipsoids

DOI10.1016/j.laa.2019.04.028zbMath1418.15018OpenAlexW2942686117WikidataQ128021525 ScholiaQ128021525MaRDI QIDQ2002701

David W. Kribs, Matthew Kazakov, Rajesh Pereira

Publication date: 12 July 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.04.028

zbMATH Keywords

numerical rangeellipsoidGell-Mann matricesPauli matricesjoint real higher rank numerical rangereal higher rank numerical range

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

• Higher-rank numerical ranges and compression problems
• Quantum error correcting codes from the compression formalism
• Joint ranges of Hermitian matrices and simultaneous diagonalization
• Quantum error correction and generalized numerical ranges
• On the Field of Values of a Matrix
• Bloch vectors for qudits
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• The Toeplitz-Hausdorff Theorem and Ellipticity Conditions
• Geometry of higher-rank numerical ranges
• The higher rank numerical range is convex

This page was built for publication: Real higher rank numerical ranges and ellipsoids