A generalized quantum relative entropy

DOI10.3934/amc.2020063zbMath1446.81012OpenAlexW2999919703MaRDI QIDQ2194502

Luiza H. F. Andrade, Rui F. Vigelis, Charles Casimiro Cavalcante

Publication date: 26 August 2020

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2020063

zbMATH Keywords

quantum information theorydeformed exponential functionquantum relative entropy\( \varphi\)-families of probablity distributions

Mathematics Subject Classification ID

Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum entropies (81P17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(\varphi \)-families of probability distributions
• Exponential statistical manifold
• \(\kappa \)-exponential models from the geometrical viewpoint
• On a \(q\) -central limit theorem consistent with nonextensive statistical mechanics
• Statistical origin of quantum mechanics
• A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
• Possible generalization of Boltzmann-Gibbs statistics.
• Quantum information theory and quantum statistics.
• Fundamental properties of Tsallis relative entropy
• On Uniqueness Theorems for Tsallis Entropy and Tsallis Relative Entropy
• ON THE UNIQUENESS OF THE CHENTSOV METRIC IN QUANTUM INFORMATION GEOMETRY
• Information gain within nonextensive thermostatistics
• On Information and Sufficiency
• Non-linear kinetics underlying generalized statistics

This page was built for publication: A generalized quantum relative entropy