Maps on quantum states preserving Bregman and Jensen divergences

DOI10.1007/S11005-016-0868-0zbMath1387.47022arXiv1601.06529OpenAlexW3098646419MaRDI QIDQ315453

Dániel Virosztek

Publication date: 21 September 2016

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06529

zbMATH Keywords

density operatorJensen divergenceBergman divergencepreserver transformation

Mathematics Subject Classification ID

States of selfadjoint operator algebras (46L30) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (6)

Quantum \(f\)-divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces ⋮ TRANSFORMATIONS ON DENSITY OPERATORS PRESERVING GENERALISED ENTROPY OF A CONVEX COMBINATION ⋮ Maps on positive definite operators preserving the quantum \(\chi_\alpha ^2\)-divergence ⋮ Maps on positive operators preserving Rényi type relative entropies and maximal \(f\)-divergences ⋮ The metric property of the quantum Jensen-Shannon divergence ⋮ Characterizations of von Neumann entropy and Tsallis \(p\)-entropy on quantum states

Cites Work

• Maps on density operators preserving quantum \(f\)-divergences
• Transformations on positive definite matrices preserving generalized distance measures
• A family of monotone quantum relative entropies
• On the joint convexity of the Bregman divergence of matrices
• Subadditivity of matrix \(\phi\)-entropy and concentration of random matrices
• General Mazur–Ulam Type Theorems and Some Applications
• Matrix Information Geometry
• Maps on states preserving the relative entropy
• On Information and Sufficiency
• Maps on positive definite matrices preserving Bregman and Jensen divergences
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