Overview
- Includes new chapters on classical and quantum perceptrons and on quantum fluctuations
- Offers a self-contained overview of the dynamics of information in dissipative quantum systems
- Addresses complexity issues in classical and quantum dynamical systems and information theory
Part of the book series: Theoretical and Mathematical Physics (TMP)
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About this book
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. 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 ofquantum 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.
Keywords
Table of contents (9 chapters)
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Front Matter
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Classical Dynamical Systems
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Front Matter
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Quantum Dynamical Systems
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Front Matter
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Quantum Dynamical Entropies and Complexities
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Dynamics, Information and Complexity in Quantum Systems
Authors: Fabio Benatti
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-3-031-34248-6
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-34247-9Published: 23 August 2023
Softcover ISBN: 978-3-031-34250-9Published: 24 August 2024
eBook ISBN: 978-3-031-34248-6Published: 22 August 2023
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 2
Number of Pages: XIV, 618
Number of Illustrations: 21 b/w illustrations
Topics: Quantum Physics, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Complex Systems, Theoretical, Mathematical and Computational Physics