Benatti Fabio. Dynamics, Information and Complexity in Quantum Systems

2nd edition. — Springer, 2023. — 620 p. — (Theoretical and Mathematical Physics). — ISBN 978-3-031-34248-6.This second edition of Dynamics, Information and Complexity in Quantum Systems widens its scope by focussing more on the dynamics of quantum correlations and information in microscopic and mesoscopic systems, and their use for metrological and machine learning purposes. This book is meant for advanced students, young and senior researchers working in the fields of quantum statistical mechanics, quantum information, and quantum dynamical systems. It is self-contained, and the only prerequisites needed are a standard knowledge of statistical mechanics, quantum mechanics, and linear operators on Hilbert spaces.Introduction
Classical Dynamical Systems
Classical Dynamics and Ergodic Theory
Dynamical Entropy and Information
Algorithmic Complexity
Quantum Dynamical Systems
Quantum Mechanics of Finite Degrees of Freedom
Quantum Information Theory
Quantum Mechanics of Infinite Degrees of Freedom
Quantum Dynamical Entropies and Complexities
Quantum Dynamical Entropies
Quantum Algorithmic Complexities