Dynamics, Information and Complexity in Quantum Systems (Theoretical and Mathematical Physics) - Hardcover

Benatti, Fabio

 
9781402093050: Dynamics, Information and Complexity in Quantum Systems (Theoretical and Mathematical Physics)
Hardcover
ISBN 10: 1402093055 ISBN 13: 9781402093050
Verlag: Springer, 2009

Inhaltsangabe

1 Introduction Part I Classical Dynamical Systems2 Classical Dynamics and Ergodic Theory 2.1 Classical Dynamical Systems 2.2 Symbolic Dynamics 2.3 Ergodicity and Mixing 2.4 Information and Entropy 3 Dynamical Entropy and Information 3.1 Dynamical Entropy 3.2 Codes and Shannon Theorems 4 Algorithmic Complexity 4.1 Kolmogorov Complexity 4.2 Algorithmic Complexity and Entropy Rate 4.3 Pre_x Algorithmic Complexity Part II Quantum Dynamical Systems5 Quantum Mechanics of Finite Degrees of Freedom 5.1 Hilbert Space and Operator Algebras 5.2 Algebras of Bounded Operators on H 5.3 Quantum Systems with Finite Degrees of Freedom 5.4 Quantum States 5.5 Dynamics and State-Transformations 6 Quantum Information Theory 6.1 Quantum Information Theory 6.2 Bipartite Entanglement 6.3 Relative Entropy7 Quantum Mechanics of Infinite Degrees of Freedom7.1 Observables, States and Dynamics7.2 Entropy Density 7.3 Quantum Spin Chains as Quantum SourcesPart III Quantum Dynamical Entropies and Complexities8 Quantum Dynamical Entropies 8.1 CNT Entropy: Decompositions of States 8.2 AFL Entropy: OPUs 9 Quantum Algorithmic Complexity9.1 Quantum Algorithmic Complexities References

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
1402093055
ISBN 13 
9781402093050
Einband
Tapa dura
Anzahl der Seiten
548
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9789048181049: Dynamics, Information and Complexity in Quantum Systems (Theoretical and Mathematical Physics)

Vorgestellte Ausgabe

ISBN 10:  9048181046 ISBN 13:  9789048181049
Verlag: Springer, 2010
Softcover