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.

>Contains over 100 pages of new material, including many new exercises and references >Offers an extensive overview of classical information theory and recent advances in quantum information theory for the non-expert >Provides applications to many example quantum channels of practical interest, including depolarizing, amplitude dampening, and erasure channels

Table of Contents

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.