Quantum Systems, Channels, Information

A Mathematical Introduction

Alexander S. Holevo (Autor)

Buch | Hardcover

XIII, 349 Seiten

2012
De Gruyter (Verlag)
9783110273250 (ISBN)

Infos

The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.

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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.

Autor

Alexander S. Holevo, Steklov Mathematical Institute, Moscow, Russia.

Inhalt

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

Rezensionen

"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

Produkt-Details

• Erscheint lt. Verlag: 28.11.2012
• Reihe/Serie: De Gruyter Studies in Mathematical Physics ; 16
• Zusatzinfo: 12 b/w ill.
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Maße: 170 x 240 mm
• Gewicht: 745 g
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Schlagworte: Quantenphysik • Quantum Computing • Quantum Computing; Quantum Cryptography; Quantum Information; Quantum Systems; Quantum Theory • Quantum Cryptography • Quantum information • quantum systems • Quantum Theory
• ISBN-13: 9783110273250 / 9783110273250
• Zustand: Neuware