Quantum Entropies Dynamics, Information and Complexity /

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Benatti, Fabio (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Dordrecht : Springer Netherlands, 2009.
Έκδοση:1.
Σειρά:Theoretical and Mathematical Physics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Benatti, Fabio.  |e author. 
245 1 0 |a Quantum Entropies  |h [electronic resource] :  |b Dynamics, Information and Complexity /  |c by Fabio Benatti. 
250 |a 1. 
264 1 |a Dordrecht :  |b Springer Netherlands,  |c 2009. 
300 |a XII, 536 p.  |b online resource. 
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490 1 |a Theoretical and Mathematical Physics,  |x 1864-5879 
505 0 |a 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. 
520 |a 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. 
650 0 |a Physics. 
650 0 |a Dynamics. 
650 0 |a Ergodic theory. 
650 0 |a Quantum physics. 
650 0 |a Quantum computers. 
650 0 |a Spintronics. 
650 0 |a Statistical physics. 
650 0 |a Dynamical systems. 
650 1 4 |a Physics. 
650 2 4 |a Quantum Information Technology, Spintronics. 
650 2 4 |a Dynamical Systems and Ergodic Theory. 
650 2 4 |a Quantum Physics. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Statistical Physics, Dynamical Systems and Complexity. 
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776 0 8 |i Printed edition:  |z 9781402093050 
830 0 |a Theoretical and Mathematical Physics,  |x 1864-5879 
856 4 0 |u http://dx.doi.org/10.1007/978-1-4020-9306-7  |z Full Text via HEAL-Link 
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950 |a Physics and Astronomy (Springer-11651)