Maps on Quantum States in -algebras Preserving von Neumann Entropy or Schatten -norm of Convex Combinations

DOI10.4153/CMB-2018-011-3OpenAlexW2792090640MaRDI QIDQ3121316

Marcell Gaál

Publication date: 15 March 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2018-011-3

zbMATH Keywords

entropydensity operator\(C^\ast\)-algebraSchatten \(p\)-normpreservernormalized trace

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (3)

Characterizations of Jordan \(*\)-isomorphisms of \(C^*\)-algebras by Schatten \(p\)-norm of Kubo-Ando means ⋮ Unnamed Item ⋮ Characterizations of von Neumann entropy and Tsallis \(p\)-entropy on quantum states

Cites Work

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• Maps on the positive definite cone of a \(C^\ast\)-algebra preserving certain quasi-entropies
• Transformations on density operators that leave the Holevo bound invariant
• Generalized s-numbers of \(\tau\)-measurable operators
• On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra
• Maps on states preserving generalized entropy of convex combinations
• The fidelity of density operators in an operator-algebraic framework
• Jordan Homomorphisms
• Geodesic distances on density matrices

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