QUANTUM ENTROPY AND ITS USE,MASANORI OHYA

Pt. I: Entropies For Finite Quantum Systems. 1: Fundamental Concepts. 2: Postulates For Entropy And Relative Entropy. 3: Convex Trace Functions -- Pt. Ii: Entropies For General Quantum Systems. 4: Modular Theory And Auxiliaries. 5: Relative Entropy Of States Of Operator Algebras. 6: From Relative Entropy To Entropy. 7: Functionals Of Entropy Type -- Pt. Iii: Channeling Transformation And Coarse Graining. 8: Channels And Their Transpose. 9: Sufficient Channels And Measurements. 10: Dynamical Entropy. 11: Stationary Processes -- Pt. Iv: Perturbation Theory. 12: Perturbation Of States. 13: Variational Expression Of Perturbational Limits -- Pt. V: Miscellanea. 14: Central Limit And Quasifree Reduction. 15: Thermodynamics Of Quantum Spin Systems. 16: Entropic Uncertainty Relations. 17: Temperley-lieb Algebras And Index. 18: Optical Communication Processes. Masanori Ohya, Dénes Petz. Includes Bibliographical References (p. [315]-331) And Index. This comprehensive treatment aims to provide an overview of the concept of quantum entropy from the early days of quantum mechanics to recent developments. Numerous fundamental properties of quantum information measurement are developed, including the von Neumann entropy of a statistical operator.