A Lower Bound on the C-Numerical Radius of Nilpotent Matrices Appearing in Coherent Spectroscopy

DOI10.1137/040613330zbMath1098.15022OpenAlexW2145715850MaRDI QIDQ5470494

Chi-Kwong Li, Hugo J. Woerdeman

Publication date: 31 May 2006

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2ef738dbdde2e6cd4ea6fb69ddbb5bc87680a854

zbMATH Keywords

unitary transformationsnilpotent matricesspin systemunitary matricesC-numerical radiusNMR spectroscopy

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Quantum optics (81V80)

Related Items (3)

Bounds for \(\mathbb{A} \)-numerical radius based on an extension of \(A\)-Buzano inequality ⋮ The significance of theC-numerical range and the localC-numerical range in quantum control and quantum information ⋮ Ranks and determinants of the sum of matrices from unitary orbits

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