Quantum Information Theory
Cambridge University Press
Edition: 2, 2/6/2017
EAN 9781107176164, ISBN10: 1107176166
Hardcover, 776 pages, 25.9 x 17.8 x 4.6 cm
Language: English
Originally published in English
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.
Preface to the second edition
Preface to the first edition
How to use this book
Part I. Introduction
1. Concepts in quantum Shannon theory
2. Classical Shannon theory
Part II. The Quantum Theory
3. The noiseless quantum theory
4. The noisy quantum theory
5. The purified quantum theory
Part III. Unit Quantum Protocols
6. Three unit quantum protocols
7. Coherent protocols
8. Unit resource capacity region
Part IV. Tools of Quantum Shannon Theory
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
Part V. Noiseless Quantum Shannon Theory
18. Schumacher compression
19. Entanglement manipulation
Part VI. Noisy Quantum Shannon Theory
20. Classical communication
21. Entanglement-assisted classical communication
22. Coherent communication with noisy resources
23. Private classical communication
24. Quantum communication
25. Trading resources for communication
26. Summary and outlook
Appendix A. Supplementary results
Appendix B. Unique linear extension of a quantum physical evolution
References
Index.