Quantum Information Theory
Quantum Information Theory
$82.00
USDFinally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject 'from the ground up' it covers classical results as well as major advances of the past decade. Beginning with an extensive overview of classical information theory suitable for the non-expert, the author then turns his attention to quantum mechanics for quantum information theory, and the important protocols of teleportation, super-dense coding and entanglement distribution. He develops all of the tools necessary for understanding important results in quantum information theory, including capacity theorems for classical, entanglement-assisted, private and quantum communication. The book also covers important recent developments such as superadditivity of private, coherent and Holevo information, and the superactivation of quantum capacity. This book will be warmly welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.
- Up to date with the latest research in quantum information theory
- Contains detailed explanations and proofs for many capacity theorems in quantum information theory
- More than 250 exercises are available online
Reviews & endorsements
"… a modern self-contained text … suitable for graduate-level courses leading up to research level."
Journal of Discrete Mathematical Sciences and Cryptography
'Mark M. Wilde's Quantum Information Theory is a natural expositor's labor of love. Accessible to anyone comfortable with linear algebra and elementary probability theory, Wilde's book brings the reader to the forefront of research in the quantum generalization of Shannon's information theory. What had been a gaping hole in the literature has been replaced by an airy edifice, scalable with the application of reasonable effort and complete with fine vistas of the landscape below.' Patrick Hayden, Stanford University, California
'… the book does a phenomenal job of introducing, developing and nurturing a mathematical sense of quantum information processing … In a nutshell, this is an essential reference for students and researchers who work in the area or are trying to understand what it is that quantum information theorists study. Wilde, as mentioned in his book, beautifully illustrates 'the ultimate capability of noisy physical systems, governed by the laws of quantum mechanics, to preserve information and correlations' through this book. I would strongly recommend it to anyone who plans to continue working in the field of quantum information.' Subhayan Roy Moulick, SIGCAT News
'During the four years after the appearance of the first edition the author collected misprints and suggestions he got from colleges who used this book to prepare their lectures as well as other readers to brush up verbal formulations and formal notations for the present edition. He also got ideas to do so giving himself courses on this topic in the meantime. The character and main contents of this book did not change and are well described by the reviewer of the first edition. The number of exercises has been enlarged, the discussions about Bell's theorem and the CHSH developments have been enlarged as well as the representation of the theory of quantum channels. Proofs of entropy inequalities, and the dynamics of erasure processes have been added. The present edition includes the important developments of the latter years.' K.-E. Hellwig, Zentralblatt MATH
Product details
May 2013Adobe eBook Reader
9781107070233
0 pages
0kg
85 b/w illus. 260 exercises
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- How to use this book
- Acknowledgements
- 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. The 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. The information of quantum channels
- 13. Classical typicality
- 14. Quantum typicality
- 15. The packing lemma
- 16. The covering lemma
- Part V. Noiseless Quantum Shannon Theory:
- 17. Schumacher compression
- 18. Entanglement concentration
- Part VI. Noisy Quantum Shannon Theory:
- 19. Classical communication
- 20. Entanglement-assisted classical communication
- 21. Coherent communication with noisy resources
- 22. Private classical communication
- 23. Quantum communication
- 24. Trading resources for communication
- 25. Summary and outlook
- Appendix A. Miscellaneous mathematics
- Appendix B. Monotonicity of quantum relative entropy
- References
- Index.
