Quantum information theory

Developing many of the major, exciting, pre- and post-millennium developments from the ground up, this book is an ideal entry point for graduate students into quantum information theory. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense coding, and entanglement distribution are presented. In this new edition, readers can expect to find over 100 pages of new material, including detailed discussions of Bell's theorem, the CHSH game, Tsirelson's theorem, the axiomatic approach to quantum channels, the definition of the diamond norm and its interpretation, and a proof of the Choi–Kraus theorem. Discussion of the importance of the quantum dynamic capacity formula has been completely revised, and many new exercises and references have been added. This new edition will be welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.

Includes bibliographical references (pages 733-753) and index.

Machine generated contents note: 1.Concepts in Quantum Shannon Theory

1.Overview of the Quantum Theory

2.Classical Shannon Theory

3.The Noiseless Quantum Theory

4.The Noisy Quantum Theory

5.The Purified Quantum Theory

6.Three Unit Quantum Protocols

7.Coherent Protocols

8.Unit Resource Capacity Region

9.Distance Measures

10.Classical Information and Entropy

11.Quantum Information and Entropy

12.Quantum Entropy Inequalities and Recoverability

13.The Information of Quantum Channels

14.Classical Typicality

15.Quantum Typicality

16.The Packing Lemma

17.The Covering Lemma

In this new edition, readers can expect to find over 100 pages of new material, including detailed discussions of Bell's theorem, the CHSH game, Tsirelson's theorem, the axiomatic approach to quantum channels, the definition of the diamond norm and its interpretation, and a proof of the Choi-Kraus theorem. Discussion of the importance of the quantum dynamic capacity formula has been completely revised, and many new exercises and references have been added.