THE THEORY OF QUANTUM INFORMATION 2018 (H)
CAMBRIDGE UNIVERSITY PRESS
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.
> Contains many exercises to improve the reader's understanding of the material
> Proofs have been simplified and presented clearly so that they are easy to follow
> The book is self-contained and accessible to those with a solid background in basic mathematics
Table of Contents
1. Mathematical preliminaries
2. Basic notions of quantum information
3. Similarity and distance among states and channels
4. Unital channels and majorization
5. Quantum entropy and source coding
6. Bipartite entanglement
7. Permutation invariance and unitarily invariant measures
8. Quantum channel capacities
List of symbols and notations
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