Bures isometries between density spaces of \(C^{\ast}\)-algebras

DOI10.1016/J.LAA.2018.07.008OpenAlexW2883031399MaRDI QIDQ1790455

Lajos Molnár

Publication date: 2 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.07.008

zbMATH Keywords

positive cone\(C^\ast\)-algebrafidelitypreserversbures metricdensity space

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (6)

Norm-additive maps on the positive definite cone of a \(C^{*}\)-algebra ⋮ \(\alpha\)-\(z\)-Rényi relative entropy related quantities and their preservers ⋮ Quantum Hellinger distances revisited ⋮ Applications of the automatic additivity of positive homogeneous order isomorphisms between positive definite cones in \(C^*\)-algebras ⋮ Jordan isomorphisms as preservers ⋮ Maps on positive definite cones of 𝐶*-algebras preserving the Wasserstein mean

Cites Work

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• Bures contractive channels on operator algebras
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• General Mazur–Ulam Type Theorems and Some Applications
• The fidelity of density operators in an operator-algebraic framework
• Groups of order automorphisms of operator intervals
• Thompson isometries of the space of invertible positive operators
• Isometries of quantum states
• Order and Spectrum Preserving Maps on Positive Operators
• Invertibility preserving linear maps on ℒ(𝒳)
• Geometry of Quantum States
• On Certain Contraction Mappings in a Partially Ordered Vector Space
• Fidelity preserving maps on density operators

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