TY - BOOK AU - Mukhamedov,Farrukh AU - Ganikhodjaev,Nasir ED - SpringerLink (Online service) TI - Quantum Quadratic Operators and Processes T2 - Lecture Notes in Mathematics, SN - 9783319228372 AV - QA313 U1 - 515.39 23 PY - 2015/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Dynamics KW - Ergodic theory KW - Functional analysis KW - Operator theory KW - Probabilities KW - Dynamical Systems and Ergodic Theory KW - Functional Analysis KW - Operator Theory KW - Probability Theory and Stochastic Processes N1 - Introduction -- Quadratic Stochastic Operators -- Quadratic Processes -- Analytic methods in the theory of quadratic stochastic processes -- Quantum quadratic operators -- Quantum quadratic operators on M2(C) -- Infinite-dimensional quadratic operators -- Quantum quadratic stochastic processes N2 - 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 UR - https://doi.org/10.1007/978-3-319-22837-2 ER -