Quantum Quadratic Operators and Processes

by Farrukh Mukhamedov, Nasir Ganikhodjaev

Overview

Covering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic shastic 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 shastic processes, researchers at all levels are likely to find the book inspiring and useful.

Product Details

ISBN-13:	9783319228365
Publisher:	Springer International Publishing
Publication date:	10/13/2015
Series:	Lecture Notes in Mathematics , #2133
Edition description:	1st ed. 2015
Pages:	231
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Introduction.- Quadratic Shastic Operators.- Quadratic Processes.- Analytic methods in the theory of quadratic shastic processes.- Quantum quadratic operators.- Quantum quadratic operators on M2(C).- Infinite-dimensional quadratic operators.- Quantum quadratic shastic processes.