
Quantum Systems, Channels, Information
Description
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The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world.
The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.
Reviews / Votes
"Written in a mathematically rigorous way, the book gives an accessible and self-contained introduction to quantum theory of information and presents fundamental results in the subject." Mathematical Reviews
"The book is suited for researchers, and lecturers who find the respective matter worked out and well ordered, as well as for students who may check their grasp, since any step is accompanied by task-oriented exercises. [.] This book mediates the origins and the development up to the present state of art in a very instructive manner. It can be best recommended." Zentralblatt für Mathematik
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Content
Part I
Chapter 1. Vectors and Operators
Chapter 2. States, Observables, Statistics
Chapter 3. Composite Systems and Entanglement
Part II
Chapter 4. Classical Entropy and Information
Chapter 5. The Quantum Coding Theorem
Part III
Chapter 6. Quantum Evolutions and Channels
Chapter 7. Quantum Entropy and Information Quantities
Chapter 8. The Classical Capacity of Quantum Channel
Chapter 9. Transmission of Quantum Information
Chapter 10. Channels with Constrained Inputs
Chapter 11. Gaussian Systems
References
Index
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