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100   $a20230822d2023      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aDynamics, Information and Complexity in Quantum Systems /$fby Fabio Benatti
205   $a2nd ed. 2023.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023.
215   $a1 online resource (620 pages)
225 1 $aTheoretical and Mathematical Physics,$x1864-5887
311   $a9783031342479 
327   $aIntroduction -- Classical Dynamics and Ergodic Theory -- Dynamical Entropy and Information -- Algorithmic Complexity -- Machine Learning -- Quantum Mechanics of Finite Degrees of Freedom -- Quantum Information Theory -- Quantum Mechanics of Infinite Degrees of Freedom -- Quantum Dynamical Entropies -- Quantum Algorithmic Complexities -- Quantum Machine Learning.
330   $aThis second edition of Dynamics, Information and Complexity in Quantum Systems widens its scope by focussing more on the dynamics of quantum correlations and information in microscopic and mesoscopic systems, and their use for metrological and machine learning purposes. The book is divided into three parts: Part One: Classical Dynamical Systems Addresses classical dynamical systems, classical dynamical entropy, and classical algorithmic complexity. Includes a survey of the theory of simple perceptrons and their storage capacity. Part Two: Quantum Dynamical Systems Focuses on the dynamics of entanglement under dissipative dynamics and its metrological use in finite level quantum systems. Discusses the quantum fluctuation approach to large-scale mesoscopic systems and their emergent dynamics in quantum systems with infinitely many degrees of freedom. Introduces a model of quantum perceptron whose storage capacity is computed and compared with the classical one. Part Three: Quantum Dynamical Entropies and Complexities Devoted to quantum dynamical entropies and algorithmic complexities. This book is meant for advanced students, young and senior researchers working in the fields of quantum statistical mechanics, quantum information, and quantum dynamical systems. It is self-contained, and the only prerequisites needed are a standard knowledge of statistical mechanics, quantum mechanics, and linear operators on Hilbert spaces.
410  0$aTheoretical and Mathematical Physics,$x1864-5887
606   $aQuantum physics
606   $aDynamical systems
606   $aSystem theory
606   $aQuantum computing
606   $aStatistical Physics
606   $aQuantum Physics
606   $aDynamical Systems
606   $aComplex Systems
606   $aQuantum Information
606   $aStatistical Physics
615  0$aQuantum physics.
615  0$aDynamical systems.
615  0$aSystem theory.
615  0$aQuantum computing.
615  0$aStatistical Physics.
615 14$aQuantum Physics.
615 24$aDynamical Systems.
615 24$aComplex Systems.
615 24$aQuantum Information.
615 24$aStatistical Physics.
676   $a530.12
700   $aBenatti$b Fabio$0471922
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910739423703321
996   $aDynamics, information and complexity in quantum systems$9228563
997   $aUNINA