Dynamics, Information and Complexity in Quantum Systems
1st Edition
Published on 19. October 2010
Book
Paperback/Softback
XII, 536 pages
978-90-481-8104-9 (ISBN)
Description
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.
Reviews / Votes
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)
More details
Series
Edition
Softcover reprint of hardcover 1st ed. 2009
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XII, 536 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
831 gr
ISBN-13
978-90-481-8104-9 (9789048181049)
DOI
10.1007/978-1-4020-9306-7
Schweitzer Classification
Other editions
New editions
Fabio Benatti
Dynamics, Information and Complexity in Quantum Systems
Book
08/2023
2nd Edition
Springer
€192.59
Shipment within 15-20 days
Additional editions
Fabio Benatti
Dynamics, Information and Complexity in Quantum Systems
Dynamics, Information and Complexity
Book
05/2009
1st Edition
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€124.50
Shipment within 15-20 days
Content
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
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