Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices

DOI10.1142/S0129167X19500551zbMath1425.15015OpenAlexW2966383146WikidataQ127408520 ScholiaQ127408520MaRDI QIDQ5243545

Rajendra Bhatia

Publication date: 19 November 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x19500551

zbMATH Keywords

eigenvaluesingular valuesymplectic eigenvalueWilliamson parameter

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (2)

Derivatives of symplectic eigenvalues and a Lidskii type theorem ⋮ Variational principles for symplectic eigenvalues

Cites Work

• Unnamed Item
• Symplectic dilations, Gaussian states and Gaussian channels
• Gaussian quantum marginal problem
• Symplectic geometry and quantum mechanics
• The Symmetry Group of Gaussian States in $${L}^{2}({\mathbb{R}}^{n})$$
• On symplectic eigenvalues of positive definite matrices
• From Log-Determinant Inequalities to Gaussian Entanglement via Recoverability Theory
• Inequalities for quantum marginal problems with continuous variables

This page was built for publication: Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices