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Quantum Dynamics and Information

2011 Science
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Release : 2011
Genre : Science
Kind : eBook
Book Rating : 438/5 ( reviews)

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Book Synopsis Quantum Dynamics and Information by : Robert Olkiewicz

Download or read book Quantum Dynamics and Information written by Robert Olkiewicz. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this lecture collection is quantum dynamics, regarded mostly as the dynamics of entanglement and that of decoherence phenomena. Both these concepts appear to refer to the behavior of surprisingly fragile features of quantum systems supposed to model quantum memories and to implement quantum date processing routines. This collection may serve as an essential resource for those interested in both theoretical description and practical applications of fundamentals of quantum mechanics.

Quantum Dynamics with Trajectories

2006-05-28 Mathematics
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Release : 2006-05-28
Genre : Mathematics
Kind : eBook
Book Rating : 452/5 ( reviews)

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Book Synopsis Quantum Dynamics with Trajectories by : Robert E. Wyatt

Download or read book Quantum Dynamics with Trajectories written by Robert E. Wyatt. This book was released on 2006-05-28. Available in PDF, EPUB and Kindle. Book excerpt: This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers

Introduction to Quantum Control and Dynamics

2021-07-28 Mathematics
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Release : 2021-07-28
Genre : Mathematics
Kind : eBook
Book Rating : 057/5 ( reviews)

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Book Synopsis Introduction to Quantum Control and Dynamics by : Domenico D’Alessandro

Download or read book Introduction to Quantum Control and Dynamics written by Domenico D’Alessandro. This book was released on 2021-07-28. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics presents the mathematical concepts and fundamental physics behind the analysis and control of quantum dynamics, emphasizing the application of Lie algebra and Lie group theory. To advantage students, instructors and practitioners, and since the field is highly interdisciplinary, this book presents an introduction with all the basic notions in the same place. The field has seen a large development in parallel with the neighboring fields of quantum information, computation and communication. The author has maintained an introductory level to encourage course use. After introducing the basics of quantum mechanics, the book derives a class of models for quantum control systems from fundamental physics. It examines the controllability and observability of quantum systems and the related problem of quantum state determination and measurement. The author also uses Lie group decompositions as tools to analyze dynamics and to design control algorithms. In addition, he describes various other control methods and discusses topics in quantum information theory that include entanglement and entanglement dynamics. Changes to the New Edition: New Chapter 4: Uncontrollable Systems and Dynamical Decomposition New section on quantum control landscapes A brief discussion of the experiments that earned the 2012 Nobel Prize in Physics Corrections and revised concepts are made to improve accuracy Armed with the basics of quantum control and dynamics, readers will invariably use this interdisciplinary knowledge in their mathematics, physics and engineering work.

Dynamics, Information and Complexity in Quantum Systems

2023-09-23 Science
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Release : 2023-09-23
Genre : Science
Kind : eBook
Book Rating : 488/5 ( reviews)

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Book Synopsis Dynamics, Information and Complexity in Quantum Systems by : Fabio Benatti

Download or read book Dynamics, Information and Complexity in Quantum Systems written by Fabio Benatti. This book was released on 2023-09-23. Available in PDF, EPUB and Kindle. Book excerpt: This 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.

Intermediate Spectral Theory and Quantum Dynamics

2008-12-30 Science
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Release : 2008-12-30
Genre : Science
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis Intermediate Spectral Theory and Quantum Dynamics by : César R. de Oliveira

Download or read book Intermediate Spectral Theory and Quantum Dynamics written by César R. de Oliveira. This book was released on 2008-12-30. Available in PDF, EPUB and Kindle. Book excerpt: The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. Many examples and exercises are included that focus on quantum mechanics.

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