Quantum systems, channels, information : a mathematical introduction / Alexander S. Holevo.

Format:

Book

Author/Creator:

Kholevo, A. S. (Aleksandr Semenovich)

Series:

De Gruyter Studies in Mathematical Physics

De Gruyter Studies in Mathematical Physics ; 16

Standardized Title:

Kvantovye sistemy, kanaly, informat͡sii͡a. English

Language:

English

Subjects (All):

Information theory in physics.

Quantum entropy.

Physical Description:

1 online resource (364 p.)

Edition:

1st ed.

Place of Publication:

Berlin : Walter de Gruyter GmbH & Co. KG, 2012.

Language Note:

English

Summary:

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.

Contents:

Front matter

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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

OCLC:

824530482