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E-raamat: Quantum Systems, Channels, Information: A Mathematical Introduction [De Gruyter e-raamatud]

  • De Gruyter e-raamatud
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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.

Alexander S. Holevo, Steklov Mathematical Institute, Moscow, Russia.
Preface Part IChapter
1. Vectors and OperatorsChapter
2. States, Observables, StatisticsChapter
3. Composite Systems and Entanglement Part IIChapter
4. Classical Entropy and InformationChapter
5. The Quantum Coding Theorem Part IIIChapter
6. Quantum Evolutions and ChannelsChapter
7. Quantum Entropy and Information QuantitiesChapter
8. The Classical Capacity of Quantum ChannelChapter
9. Transmission of Quantum InformationChapter
10. Channels with Constrained InputsChapter
11. Gaussian Systems ReferencesIndex
Alexander S. Holevo, Steklov Mathematical Institute, Moscow, Russia.