Dynamics, Information and Complexity in Quantum Systems - Rilegato

Benatti, Fabio

Rilegato

ISBN 10: 1402093055 ISBN 13: 9781402093050

Casa editrice: Springer Nature, 2009

Riassunto

The aim of this book is to o?er a self-consistent overview of a series of - sues relating entropy, information and dynamics in classical and quantum physics. My personal point of view regarding these matters is the result of what I had the good fortune to learn in the course of the years from various scientists: Heide Narnhofer in the ?rst place, who introduced me to qu- tum dynamical entropies and was a precious guide ever since, then Robert Alicki, Mark Fannes, Giancarlo Ghirardi, Andreas Knauf, John Lewis, - o?rey Sewell, Franco Strocchi, Walter Thirring, Armin Uhlmann. To me, all of them have been a constant example of rigorous mathematics and physical intuition jointly at work. Last but not least, my deep gratitude goes to my family and to the many friends on whom I could always count for support and encouragement with a special thought for Traude and Wolfgang Georgiades.

Su questo libro

Recensione:

From the reviews: “This book fits very well with the recent trends in theoretical and mathematical physics exploiting the interrelations between quantum theory, statistical mechanics and information theory. ... The book is clearly written and contains a reasonable amount of elementary background material illustrated by numerous examples, and therefore can serve very well students at the graduate level and researchers entering the field of quantum dynamics and quantum information.” (Robert Alicki, Mathematical Reviews, Issue 2010 c)

Contenuti:

1 Introduction Part I Classical Dynamical Systems 2 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 Systems 5 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 Entropy 7 Quantum Mechanics of Infinite Degrees of Freedom 7.1 Observables, States and Dynamics 7.2 Entropy Density 7.3 Quantum Spin Chains as Quantum Sources Part III Quantum Dynamical Entropies and Complexities 8 Quantum Dynamical Entropies 8.1 CNT Entropy: Decompositions of States 8.2 AFL Entropy: OPUs 9 Quantum Algorithmic Complexity 9.1 Quantum Algorithmic Complexities References

Su questa edizione

• Editore: Springer Nature
• Data di pubblicazione: 2009
• ISBN 10: 1402093055
• ISBN 13: 9781402093050
• Rilegatura: Copertina rigida
• Numero di pagine: 535