Overview
- Provides a self-contained treatment of nonlinear Markov evolution, with a focus on (classical and quantum) quadratic operators and the asymptotic behavior of the dynamical systems they generate
- This is the first book to study both classical and quantum (non-commutative) nonlinear dynamics using the theory of Markov processes
- Covers the most recent developments in the fields of quadratic dynamical systems, Markov processes and quantum stochastic processes
- Includes material which has potential applications to quantum information theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2133)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Covering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes. The asymptotic behavior of dynamical systems generated by classical and quantum quadratic operators is investigated and various properties of quantum quadratic operators are studied, providing an insight into the construction of quantum channels.
This book is suitable as a textbook for an advanced undergraduate/graduate level course or summer school in quantum dynamical systems. It can also be used as a reference book by researchers looking for interesting problems to work on, or useful techniques and discussions of particular problems. Since it includes the latest developments in the fields of quadratic dynamical systems, Markov processes and quantum stochastic processes, researchers at all levels are likely to find the book inspiring and useful.
Authors and Affiliations
Bibliographic Information
Book Title: Quantum Quadratic Operators and Processes
Authors: Farrukh Mukhamedov, Nasir Ganikhodjaev
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-22837-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-22836-5Published: 20 October 2015
eBook ISBN: 978-3-319-22837-2Published: 12 October 2015
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 231
Number of Illustrations: 1 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Functional Analysis, Operator Theory, Probability Theory and Stochastic Processes