Some applications of majorization to quantum entropies

DOI10.1016/S0034-4877(14)00016-0zbMath1305.81148MaRDI QIDQ486094

Lu Liu, Yuan Li

Publication date: 14 January 2015

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

entropymajorizationvon Neumannunified entropy

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Measures of information, entropy (94A17) Variational principles of physics (49S05)

Related Items (1)

Some properties of operators preserving convex majorization on discrete \(\ell^p\) spaces

Cites Work

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• Maps on states preserving the relative entropy. II
• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• Bounds for entanglement via an extension of strong subadditivity of entropy
• Possible generalization of Boltzmann-Gibbs statistics.
• Unitarity as preservation of entropy and entanglement in quantum systems
• Further results on entropy and separability
• On conjectures of classical and quantum correlations in bipartite states
• Generalized quantum entropy

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