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Quantum quadratic operators and processes / Farrukh Mukhamedov and Nasir Ganikhodjaev.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2133Publication details: Switzerland : Springer, 2015.Description: xiv, 231 p. ; 24 cmISBN:
  • 9783319228365 (alk. paper)
Subject(s): DDC classification:
  • 515.724 23 M953
Contents:
1. Introduction -- 2. Quadratic Stochastic Operators and Their Dynamics -- 3. Quadratic Stochastic Processes -- 4. Analytic Methods in the Theory of Quadratic Stochastic Processes -- 5. Quantum Quadratic Stochastic Operators -- 6. Quantum Quadratic Stochastic Operators on -- 7. Infinite-Dimensional Quadratic Operators -- 8. Quantum Quadratic Stochastic Processes and Their Ergodic Properties-- References-- Index.
Summary: This 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.724 M953 (Browse shelf(Opens below)) Available 136454
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Quadratic Stochastic Operators and Their Dynamics --
3. Quadratic Stochastic Processes --
4. Analytic Methods in the Theory of Quadratic Stochastic Processes --
5. Quantum Quadratic Stochastic Operators --
6. Quantum Quadratic Stochastic Operators on --
7. Infinite-Dimensional Quadratic Operators --
8. Quantum Quadratic Stochastic Processes and Their Ergodic Properties--
References--
Index.

This 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.

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