Patrick Hayden

Stanford University, California

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Book Recommendations:

Recommended by Patrick Hayden

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 What had been a gaping hole in the literature has been replaced by an airy edifice, scalable with the application of reasonable effort and complete with fine vistas of the landscape below. Wilde’s book has a permanent place not just on my bookshelf but on my desk. (from Amazon)

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.