Generalized quantum entropy

DOI10.1063/1.2165794zbMath1111.82007OpenAlexW2037163827MaRDI QIDQ3441620

Xin-Hua Hu, Zhong-Xing Ye

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2165794

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Foundations of equilibrium statistical mechanics (82B03) Measures of information, entropy (94A17)

Related Items (22)

Monotonicity of the unified quantum \((r,s)\)-entropy and \((r,s)\)-mutual information ⋮ Unified entropic measures of quantum correlations induced by local measurements ⋮ QUANTUM DISCORD DERIVED FROM TSALLIS ENTROPY ⋮ Quantum work fluctuations versus macrorealism in terms of non-extensive entropies ⋮ A family of generalized quantum entropies: definition and properties ⋮ Uncertainty and certainty relations for complementary qubit observables in terms of Tsallis' entropies ⋮ Entanglement, quantum randomness, and complexity beyond scrambling ⋮ Fano type quantum inequalities in terms of \(q\)-entropies ⋮ Geometric relations in classical and quantum information theory using the Lambert-Tsallis \(W_q(x)\) function ⋮ Characterization of quantum entanglement via a hypercube of Segre embeddings ⋮ Some applications of majorization to quantum entropies ⋮ Uncertainty relations for general canonically conjugate observables in terms of unified entropies ⋮ A new generalization of von Neumann relative entropy ⋮ q-discord for Generalized Entropy Functions ⋮ Unified \((r,s)\)-relative entropy ⋮ Entropy, superposition and dynamical maps ⋮ CORRELATION ENERGY AND ENTANGLEMENT GAP IN CONTINUOUS MODELS ⋮ Generalized ‘Useful’ Relative Information Measures of Type (α, β) ⋮ All maximally entangled four-qubit states ⋮ Information divergence and distance measures for quantum states ⋮ Weak quantum correlation quantifiers with generalized entropies ⋮ Quantifying entanglement with coherence

Cites Work

• Unified (r,s)-entropy and its bivariate measures
• Possible generalization of Boltzmann-Gibbs statistics.
• A continuity property of the entropy density for spin lattice systems
• Properties of q-entropies
• Information-theoretical considerations on estimation problems
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