Quantum Stochastics
eBook - PDF

Quantum Stochastics

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Quantum Stochastics

About this book

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, self-contained 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 large-time asymptotic behavior of quantum Markov semigroups.

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Yes, you can access Quantum Stochastics by Mou-Hsiung Chang in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half title
  3. Series
  4. Title
  5. Copyright
  6. Dedication
  7. Contents
  8. Preface
  9. Introduction and Summary
  10. 1 Operator Algebras and Topologies
  11. 2 Quantum Probability
  12. 3 Quantum Stochastic Calculus
  13. 4 Quantum Stochastic Differential Equations
  14. 5 Quantum Markov Semigroups
  15. 6 Minimal QDS
  16. 7 Quantum Markov Processes
  17. 8 Strong Quantum Markov Processes
  18. 9 Invariant Normal States
  19. 10 Recurrence and Transience
  20. 11 Ergodic Theory
  21. Bibliography
  22. Index