Maps on states preserving the relative entropy. II

DOI10.1016/J.LAA.2010.01.025zbMath1187.47030OpenAlexW1995394632MaRDI QIDQ969001

Patrícia Szokol, Lajos Molnár

Publication date: 11 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.025

zbMATH Keywords

relative entropydensity operatorspreserversquantum states

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (14)

Preservers for the Tsallis entropy of convex combinations of density operators ⋮ Maps on the positive definite cone of a \(C^\ast\)-algebra preserving certain quasi-entropies ⋮ Maps on density operators preserving quantum \(f\)-divergences ⋮ Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities ⋮ Maps on positive definite operators preserving the quantum \(\chi_\alpha ^2\)-divergence ⋮ \(\alpha\)-\(z\)-Rényi relative entropy related quantities and their preservers ⋮ Order automorphisms on positive definite operators and a few applications ⋮ Unnamed Item ⋮ Entropy-preserving maps on quantum states ⋮ Some applications of majorization to quantum entropies ⋮ A characterization of the Helmholtz free energy ⋮ Transformations on density operators and on positive definite operators preserving the quantum Rényi divergence ⋮ Von Neumann entropy and majorization ⋮ Isometries and relative entropy preserving maps on density operators

Cites Work

• Selected preserver problems on algebraic structures of linear operators and on function spaces
• An elementary proof of the fundamental theorem of projective geometry
• Maps on states preserving the relative entropy
• Geometry of Quantum States

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