Dynamics, information and complexity in quantum systems

The leading theme of the book is complexity in quantum dynamics. This issue is addressed by comparison with the classical ergodic, information and algorithmic complexity theories. Of particular importance is the notion of Kolmogorov-Sinai dynamical entropy and of its inequivalent quantum extensions...

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Detalles Bibliográficos
Autor Principal: Benatti, Fabio, 1960-...., physicien
Formato: Livre numérique
Idioma:Anglais
Publicado: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Edición:1st ed. 2009.
Series:Theoretical and Mathematical Physics
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Edition sous un autre format:• Dynamics, information and complexity in quantum systems, Fabio Benatti, 2009, [Dordrecht], Springer, 1 vol. (xi-535 p.), Theoretical and mathematical physics, 978-1-402-09305-0
• Dynamics, Information and Complexity in Quantum Systems, Texte imprimé, 9781402093074
• Dynamics, Information and Complexity in Quantum Systems, Texte imprimé, 9789048181049
• Dynamics, information and complexity in quantum systems, Fabio Benatti, 2009, [Dordrecht], Springer, 1 vol. (xi-535 p.), Theoretical and mathematical physics, 978-1-402-09305-0
Descripción
Résumé:The leading theme of the book is complexity in quantum dynamics. This issue is addressed by comparison with the classical ergodic, information and algorithmic complexity theories. 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
descrición da copia:Archives Springer e-books (Licence nationale)
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Bibliografía:Bibliogr. Index
ISBN:9781402093067
ISSN:1864-5887
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