A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: The \(q\)-\(z\) family

DOI10.1016/j.aop.2018.05.015zbMath1394.81053arXiv1711.09769OpenAlexW2768198884MaRDI QIDQ1667729

Patrizia Vitale, Florio M. Ciaglia, Fabio M. Mele, Fabio Di Cosmo, Giuseppe Marmo, Marco Laudato, Franco Ventriglia

Publication date: 30 August 2018

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

Full work available at URL: https://arxiv.org/abs/1711.09769

zbMATH Keywords

Quantum information theoryQuantum relative entropyQuantum divergenceQuantum metric tensor

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (11)

Lifting statistical structures ⋮ Statistical properties of qutrit in probability representation of quantum mechanics ⋮ A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: The \(q\)-\(z\) family ⋮ Information geometry, Jordan algebras, and a coadjoint orbit-like construction ⋮ Stratified manifold of quantum states, actions of the complex special linear group ⋮ G-dual teleparallel connections in information geometry ⋮ New computable entanglement monotones from formal group theory ⋮ Geometry from divergence functions and complex structures ⋮ Lagrangian description of Heisenberg and Landau–von Neumann equations of motion ⋮ Generalized potential functions in differential geometry and information geometry ⋮ Lie groupoids in information geometry

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