The Theory of Quantum Information

Cover
Cambridge University Press, 26.04.2018
This largely self-contained book on the theory of quantum information focuses on precise mathematical formulations and proofs of fundamental facts that form the foundation of the subject. It is intended for graduate students and researchers in mathematics, computer science, and theoretical physics seeking to develop a thorough understanding of key results, proof techniques, and methodologies that are relevant to a wide range of research topics within the theory of quantum information and computation. The book is accessible to readers with an understanding of basic mathematics, including linear algebra, mathematical analysis, and probability theory. An introductory chapter summarizes these necessary mathematical prerequisites, and starting from this foundation, the book includes clear and complete proofs of all results it presents. Each subsequent chapter includes challenging exercises intended to help readers to develop their own skills for discovering proofs concerning the theory of quantum information.
 

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Inhalt

1 Mathematical Preliminaries
1
2 Basic Notions of Quantum Information
58
3 Similarity and Distance Among States and Channels
124
4 Unital Channels and Majorization
201
5 Quantum Entropy and Source Coding
250
6 Bipartite Entanglement
310
7 Permutation Invariance and Unitarily Invariant Measures
390
8 Quantum Channel Capacities
464
References
561
Index of Symbols
573
Index
584
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Über den Autor (2018)

John Watrous is a Professor in the School of Computer Science and a Faculty Member of the Institute for Quantum Computing at the University of Waterloo, Ontario. He is also an Affiliate Member of the Perimeter Institute for Theoretical Physics and a Senior Fellow of the Canadian Institute for Advanced Research. Quantum information and computation has been his primary research focus for over twenty years.

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