04085nam 22007695 450 99646664690331620200707023037.03-319-22837-410.1007/978-3-319-22837-2(CKB)4210000000000433(SSID)ssj0001585482(PQKBManifestationID)16263206(PQKBTitleCode)TC0001585482(PQKBWorkID)14865434(PQKB)10888743(DE-He213)978-3-319-22837-2(MiAaPQ)EBC6283811(MiAaPQ)EBC5591976(Au-PeEL)EBL5591976(OCoLC)925435263(PPN)188953558(EXLCZ)99421000000000043320151012d2015 u| 0engurnn|008mamaatxtccrQuantum Quadratic Operators and Processes[electronic resource] /by Farrukh Mukhamedov, Nasir Ganikhodjaev1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XIV, 231 p. 1 illus.) Lecture Notes in Mathematics,0075-8434 ;2133Bibliographic Level Mode of Issuance: Monograph3-319-22836-6 Includes bibliographical references and index.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.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.Lecture Notes in Mathematics,0075-8434 ;2133DynamicsErgodic theoryFunctional analysisOperator theoryProbabilitiesDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XFunctional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Dynamics.Ergodic theory.Functional analysis.Operator theory.Probabilities.Dynamical Systems and Ergodic Theory.Functional Analysis.Operator Theory.Probability Theory and Stochastic Processes.515.352Mukhamedov Farrukhauthttp://id.loc.gov/vocabulary/relators/aut718156Ganikhodjaev Nasirauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996466646903316Quantum Quadratic Operators and Processes2182308UNISA