The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints. This book is a systematic, selfcontained account of the core of quantum probability and quantum stochastic processes for graduate students and researchers. The only assumed background is knowledge of the basic theory of Hilbert spaces, bounded linear operators, and classical Markov processes. From there, the book introduces additional tools from analysis, and then builds the quantum probability framework needed to support applications to quantum control and quantum information and communication. These include quantum noise, quantum stochastic calculus, stochastic quantum differential equations, quantum Markov semigroups and processes, and largetime asymptotic behavior of quantum Markov semigroups.
About MouHsiung Chang
Dr MouHsiung Chang served as a Professor of Mathematical Sciences at the University of Alabama in Huntsville for twentyeight years, where he also served as department chair for eight years, prior to joining the US Army Research Office (ARO) in 2002. He has published extensively on stochastic analysis and control and on quantum stochastics, with more than 70 refereed journal articles, 40 conference papers and technical reports, and more than 80 invited technical presentations at conferences and universities.Details Book
Author  :  MouHsiung Chang 
Publisher  :  Cambridge University Press 
Data Published  :  19 February 2015 
ISBN  :  110706919X 
EAN  :  9781107069190 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  424 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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