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1 Benatti, Fabio Dynamics, Information and Complexity in Quantum Systems I12811 2023 eBook  
2 Benatti, Fabio Irreversible Quantum Dynamics I11019 2003 eBook  
3 Benatti, Fabio Dynamics, Information and Complexity in Quantum Systems I06963 2009 eBook  
4 Benatti, Fabio Quantum Information, Computation and Cryptography I06594 2010 eBook  
5 Benatti, Fabio Deterministic Chaos in Infinite Quantum Systems I04072 1993 eBook  
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TitleDynamics, Information and Complexity in Quantum Systems
Author(s)Benatti, Fabio
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXIV, 618 p. 21 illus : online resource
Abstract NoteThis second edition of Dynamics, Information and Complexity in Quantum Systems widens its scope by focussing more on the dynamics of quantum correlations and information in microscopic and mesoscopic systems, and their use for metrological and machine learning purposes. The book is divided into three parts: Part One: Classical Dynamical Systems Addresses classical dynamical systems, classical dynamical entropy, and classical algorithmic complexity. Includes a survey of the theory of simple perceptrons and their storage capacity. Part Two: Quantum Dynamical Systems Focuses on the dynamics of entanglement under dissipative dynamics and its metrological use in finite level quantum systems. Discusses the quantum fluctuation approach to large-scale mesoscopic systems and their emergent dynamics in quantum systems with infinitely many degrees of freedom. Introduces a model of quantum perceptron whose storage capacity is computed and compared with the classical one. Part Three: Quantum Dynamical Entropies and Complexities Devoted to quantum dynamical entropies and algorithmic complexities. This book is meant for advanced students, young and senior researchers working in the fields of quantum statistical mechanics, quantum information, and quantum dynamical systems. It is self-contained, and the only prerequisites needed are a standard knowledge of statistical mechanics, quantum mechanics, and linear operators on Hilbert spaces
ISBN,Price9783031342486
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK - SPRINGER 4. Quantum computing 5. QUANTUM INFORMATION 6. QUANTUM PHYSICS 7. STATISTICAL PHYSICS 8. SYSTEM THEORY
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TitleIrreversible Quantum Dynamics
Author(s)Benatti, Fabio;Floreanini, Roberto
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2003.
DescriptionX, 373 p : online resource
Abstract NoteThis set of tutorial reviews is dedicated to all aspects of irreversibility and time asymmetry in quantum mechanics. The main themes addressed are: - theoretical aspects of quantum irreversible dynamics - open quantum systems and applications - foundational aspects of irreversible quantum dynamics - asymmetric time evolution and resonances This volume will benefit graduate students and researchers looking for a readable account of the current status of the field. It is also suited for lecturers looking for advanced material for their courses and seminars
ISBN,Price9783540448747
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. PHYSICS 5. QUANTUM COMPUTERS 6. Quantum Information Technology, Spintronics 7. QUANTUM PHYSICS 8. SPINTRONICS
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I11019     On Shelf    

3.     
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TitleDynamics, Information and Complexity in Quantum Systems
Author(s)Benatti, Fabio
PublicationDordrecht, Springer Netherlands, 2009.
DescriptionXII, 536 p : online resource
Abstract NoteThe 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
ISBN,Price9781402093067
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ERGODIC THEORY 8. Mathematical Methods in Physics 9. PHYSICS 10. QUANTUM COMPUTERS 11. Quantum Information Technology, Spintronics 12. QUANTUM PHYSICS 13. SPINTRONICS 14. STATISTICAL PHYSICS 15. Statistical Physics and Dynamical Systems
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TitleQuantum Information, Computation and Cryptography : An Introductory Survey of Theory, Technology and Experiments
Author(s)Benatti, Fabio;Fannes, Mark;Floreanini, Roberto;Petritis, Dimitri
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionX, 350 p. 48 illus : online resource
Abstract NoteThis multi-authored textbook addresses graduate students with a background in physics, mathematics or computer science. No research experience is necessary. Consequently, rather than comprehensively reviewing the vast body of knowledge and literature gathered in the past twenty years, this book concentrates on a number of carefully selected aspects of quantum information theory and technology. Given the highly interdisciplinary nature of the subject, the multi-authored approach brings together different points of view from various renowned experts, providing a coherent picture of the subject matter. The book consists of ten chapters and includes examples, problems, and exercises. The first five present the mathematical tools required for a full comprehension of various aspects of quantum mechanics, classical information, and coding theory. Chapter 6 deals with the manipulation and transmission of information in the quantum realm. Chapters 7 and 8 discuss experimental implementations of quantum information ideas using photons and atoms. Finally, chapters 9 and 10 address ground-breaking applications in cryptography and computation
ISBN,Price9783642119149
Keyword(s)1. CLASSICAL ELECTRODYNAMICS 2. Coding and Information Theory 3. CODING THEORY 4. EBOOK 5. EBOOK - SPRINGER 6. ELECTRODYNAMICS 7. Elementary particles (Physics) 8. Elementary Particles, Quantum Field Theory 9. INFORMATION THEORY 10. Mathematical Methods in Physics 11. OPTICS 12. PHYSICS 13. QUANTUM COMPUTERS 14. QUANTUM FIELD THEORY 15. Quantum Information Technology, Spintronics 16. QUANTUM PHYSICS 17. SPINTRONICS
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TitleDeterministic Chaos in Infinite Quantum Systems
Author(s)Benatti, Fabio
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1993.
DescriptionVI, 225 p : online resource
Abstract NoteThe purpose of this volume is to give a detailed account of a series of re?? sults concerning some ergodic questions of quantum mechanics which have the past six years following the formulation of a generalized been addressed in Kolmogorov-Sinai entropy by A.Connes, H.Narnhofer and W.Thirring. Classical ergodicity and mixing are fully developed topics of mathematical physics dealing with the lowest levels in a hierarchy of increasingly random behaviours with the so-called Bernoulli systems at its apex showing a structure that characterizes them as Kolmogorov (K-) systems. It seems not only reasonable, but also inevitable to use classical ergodic theory as a guide in the study of ergodic behaviours of quantum systems. The question is which kind of random behaviours quantum systems can exhibit and whether there is any way of classifying them. Asymptotic statistical independence and, correspondingly, complete lack of control over the distant future are typical features of classical K-systems. These properties are fully characterized by the dynamical entropy of Kolmogorov and Sinai, so that the introduction of a similar concept for quantum systems has provided the opportunity of raising meaningful questions and of proposing some non-trivial answers to them. Since in the following we shall be mainly concerned with infinite quantum systems, the algebraic approach to quantum theory will provide us with the necessary analytical tools which can be used in the commutative context, too
ISBN,Price9783642849992
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. Elementary particles (Physics) 8. Elementary Particles, Quantum Field Theory 9. ERGODIC THEORY 10. QUANTUM COMPUTERS 11. QUANTUM FIELD THEORY 12. Quantum Information Technology, Spintronics 13. QUANTUM PHYSICS 14. SPINTRONICS 15. STATISTICAL PHYSICS 16. THERMODYNAMICS
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I04072     On Shelf    

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