Factorizations of invertible density matrices

DOI10.1016/j.laa.2014.09.014zbMath1300.15006OpenAlexW2055064724WikidataQ114152367 ScholiaQ114152367MaRDI QIDQ744125

Sungwoon Kim, Sejong Kim, Ho Soo Lee

Publication date: 6 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.09.014

zbMATH Keywords

density matrixgeometric meanfactorizationEinstein gyrogroupHilbert projective metricunitary Hermitian matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Log-determinant divergences revisited: alpha-beta and gamma log-det divergences ⋮ The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Operator inequalities and gyrolines of the weighted geometric means

Cites Work

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• Unit balls, Lorentz boosts, and hyperbolic geometry
• Factorizations and geometric means of positive definite matrices
• On the notion of gyrogroup
• Theory of K-loops
• Symmetric sets with midpoints and algebraically equivalent theories
• Application of Hilbert's projective metric on symmetric cones
• Distances of qubit density matrices on Bloch sphere
• Smooth Bruck loops, symmetric spaces, and nonassociative vector spaces

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