Tsallis entropies and matrix trace inequalities in quantum statistical mechanics

DOI10.1063/1.4753981zbMath1278.82024OpenAlexW2055138943MaRDI QIDQ2872322

João da Providência, Natália Bebiano, J. jun. da Providência

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1063/1.4753981

zbMATH Keywords

Peierls-Bogoliubov inequality

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Statistical thermodynamics (82B30)

Related Items

Examples of pseudo-bosons in quantum mechanics

Cites Work

• Trace inequalities in nonextensive statistical mechanics
• Spectral inequalities for matrix exponentials
• Eigenvalue inequalities for products of matrix exponentials
• The Golden-Thompson trace inequality is complemented
• Log majorization and complementary Golden-Thompson type inequalities
• Matrix inequalities in statistical mechanics.
• Inequalities for quantum relative entropy
• A note on operator inequalities of Tsallis relative operator entropy
• Fundamental properties of Tsallis relative entropy
• A note on the entropy for operator algebras
• Convexity inequalities for estimating free energy and relative entropy
• Conditional expectation in an operator algebra. IV. Entropy and information
• On Information and Sufficiency
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