Quantum Systems, Channels, Information : : A Mathematical Introduction / / Alexander S. Holevo.

• Superior document: Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package
• VerfasserIn: Holevo, Alexander S.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2012]; ©2013
• Year of Publication: 2012
• Language: English
• Series: De Gruyter Studies in Mathematical Physics , 16
• Physical Description: 1 online resource (349 p.)
• Other title: Frontmatter --; Preface --; Contents --; Part I. Basic structures --; Chapter 1. Vectors and operators --; Chapter 2. States, observables, statistics --; Chapter 3. Composite systems and entanglement --; Part II. The primary coding theorems --; Chapter 4. Classical entropy and information --; Chapter 5. The classical-quantum channel --; Part III. Channels and entropies --; Chapter 6. Quantum evolutions and channels --; Chapter 7. Quantum entropy and information quantities --; Part IV. Basic channel capacities --; Chapter 8. The classical capacity of quantum channel --; Chapter 9. Entanglement-assisted classical communication --; Chapter 10. Transmission of quantum information --; Part V. Infinite systems --; Chapter 11. Channels with constrained inputs --; Chapter 12. Gaussian systems --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110273403; 9783110645309; 9783110238570; 9783110238518; 9783110637212; 9783110288995; 9783110293722; 9783110288926
• ISSN: 2194-3532
• DOI: 10.1515/9783110273403
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Alexander S. Holevo.

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.