Von Neumann entropy and majorization

DOI10.1016/j.jmaa.2013.06.019zbMath1308.81050arXiv1304.7442OpenAlexW2080136733MaRDI QIDQ2258436

Yuan Li, Paul Busch

Publication date: 26 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7442

zbMATH Keywords

majorizationvon Neumann entropyquantum operation

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (15)

Approximate transformations of bipartite pure-state entanglement from the majorization lattice ⋮ Estimates for discontinuity jumps of information characteristics of quantum systems and channels ⋮ Preservers for the Tsallis entropy of convex combinations of density operators ⋮ Unnamed Item ⋮ A family of generalized quantum entropies: definition and properties ⋮ Maps on states preserving generalized entropy of convex combinations ⋮ Weak supermajorization and families as doubly superstochastic operators on \(\ell^{p}(I)\) ⋮ TRANSFORMATIONS ON DENSITY OPERATORS PRESERVING GENERALISED ENTROPY OF A CONVEX COMBINATION ⋮ Renormalized von Neumann entropy with application to entanglement in genuine infinite dimensional systems ⋮ Entropy-preserving maps on quantum states ⋮ Some properties of operators preserving convex majorization on discrete \(\ell^p\) spaces ⋮ Characterizations of von Neumann entropy and Tsallis \(p\)-entropy on quantum states ⋮ Submajorization on \(\ell^p(I)^+\) determined by increasable doubly substochastic operators and its linear preservers ⋮ Representing preorders with injective monotones ⋮ Convex majorization on discrete \(\ell^p\) spaces

Cites Work

• Fixed points of dual quantum operations
• An infinite dimensional Schur-Horn theorem and majorization theory
• General state changes in quantum theory
• Maps on states preserving the relative entropy. II
• An infinite dimensional version of the Schur-Horn convexity theorem
• Von Neumann entropy-preserving quantum operations
• The Schur-Horn theorem for operators and frames with prescribed norms and frame operator
• Quantum information theory and quantum statistics.
• Further results on entropy and separability
• QUANTUM f-DIVERGENCES AND ERROR CORRECTION
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
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