Authors:
- Offers a self-contained overview of the entropic approach to quantum dynamical systems
- Addresses complexity issues in quantum dynamical systems and quantum information theory
- Provides a unified view of the classical and quantum aspects of complexity as formulated in classical and quantum ergodic, information and algorithmic complexity theories
Part of the book series: Theoretical and Mathematical Physics (TMP)
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Table of contents (9 chapters)
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Front Matter
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Introduction
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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
About this book
Of particular importance is the notion of Kolmogorov-Sinai dynamical entropy and of its inequivalent quantum extensions formulated by Connes, Narnhofer and Thirring on one hand and Alicki and Fannes on the other. Their connections with extensions to quantum systems of Kolmogorov-Chaitin-Solomonoff algorithmic complexity theory is also presented. The technical tools employed are those of the algebraic approach to quantum statistical mechanics which offers a unifying view of classical and quantum dynamical systems. Proofs and examples are provided in order to make the presentation self consistent.
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Authors and Affiliations
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Dipto. Fisica Teorica, University of Trieste, Miramare, Italy
Fabio Benatti
Bibliographic Information
Book Title: Dynamics, Information and Complexity in Quantum Systems
Authors: Fabio Benatti
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-1-4020-9306-7
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media B.V. 2009
Hardcover ISBN: 978-1-4020-9305-0Published: 04 May 2009
eBook ISBN: 978-1-4020-9306-7Published: 17 April 2009
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XII, 536
Topics: Quantum Information Technology, Spintronics, Dynamical Systems and Ergodic Theory, Quantum Physics, Mathematical Methods in Physics, Complex Systems, Statistical Physics and Dynamical Systems