Continuity of the von Neumann entropy

DOI10.1007/s00220-010-1007-xzbMath1205.47021arXiv0904.1963OpenAlexW3105334800MaRDI QIDQ974673

M. E. Shirokov

Publication date: 4 June 2010

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

Full work available at URL: https://arxiv.org/abs/0904.1963

zbMATH Keywords

von Neumann entropystability propertyquantum states

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Entropy in general topology (54C70) General theory of linear operators (47A99)

Related Items (12)

Estimates for discontinuity jumps of information characteristics of quantum systems and channels ⋮ A characterization of the weak topology in the unit ball of purely atomic \(L_1\) preduals ⋮ Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints ⋮ Some properties of quantum fidelity in infinite-dimensional quantum systems ⋮ Renormalized von Neumann entropy with application to entanglement in genuine infinite dimensional systems ⋮ Maximum-entropy inference and inverse continuity of the numerical range ⋮ Supercritical Poincaré-Andronov-Hopf bifurcation in a mean-field quantum laser equation ⋮ On the constrained classical capacity of infinite-dimensional covariant quantum channels ⋮ Mutual and coherent information for infinite-dimensional quantum channels ⋮ Convergence conditions for the quantum relative entropy and other applications of the deneralized quantum Dini lemma ⋮ Contractive freedoms of ensembles and quantum channels for infinite-dimensional systems ⋮ Entropy reduction of quantum measurements

Cites Work

• The Holevo capacity of infinite dimensional channels and the additivity problem
• Expectations and entropy inequalities for finite quantum systems
• Extreme continuous function property
• Statistical Structure of Quantum Theory
• Generalized compactness in linear spaces and its applications
• Mixed-state entanglement and quantum error correction
• Entropy characteristics of subsets of states. I
• Continuous Ensembles and the Capacity of Infinite-Dimensional Quantum Channels
• On the limits of sequences of normal states
• Convex Analysis
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