Quantum Systems, Channels, Information
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Alexander S. Holevo
About this book
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.
Author / Editor information
Alexander S. Holevo, Steklov Mathematical Institute, Moscow, Russia.
Reviews
"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
Supplementary Materials
Topics
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Part I. Basic structures
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Part II. The primary coding theorems
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Part III. Channels and entropies
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Part IV. Basic channel capacities
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Part V. Infinite systems
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