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The theory of quantum information

Author: John Watrous, Professor
Publisher: Cambridge, United Kingdom : Cambridge University Press, 2018.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range  Read more...

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Additional Physical Format: ebook version :
Document Type: Book
All Authors / Contributors: John Watrous, Professor
ISBN: 9781107180567 1107180562
OCLC Number: 1039086364
Description: viii, 590 pages : illustrations ; 26 cm
Contents: 1.Mathematical Preliminaries --
1.1.Linear Algebra --
1.2.Analysis, Convexity, and Probability Theory --
1.3.Suggested References --
2.Basic Notions of Quantum Information --
2.1.Registers and States --
2.2.Quantum Channels --
2.3.Measurements --
2.4.Exercises --
2.5.Bibliographic Remarks --
3.Similarity and Distance Among States and Channels --
3.1.Quantum State Discrimination --
3.2.The Fidelity Function --
3.3.Channel Distances and Discrimination --
3.4.Exercises --
3.5.Bibliographic Remarks --
4.Unital Channels and Majorization --
4.1.Subclasses of Unital Channels --
4.2.General Properties of Unital Channels --
4.3.Majorization --
4.4.Exercises --
4.5.Bibliographic Remarks --
5.Quantum Entropy and Source Coding --
5.1.Classical Entropy --
5.2.Quantum Entropy --
5.3.Source Coding --
5.4.Exercises --
5.5.Bibliographic Remarks --
6.Bipartite Entanglement --
6.1.Separability --
6.2.Manipulation of Entanglement --
6.3.Phenomena Associated With Entanglement --
6.4.Exercises --
6.5.Bibliographic Remarks --
7.Permutation Invariance and Unitarily Invariant Measures --
7.1.Permutation-Invariant Vectors and Operators --
7.2.Unitarily Invariant Probability Measures --
7.3.Measure Concentration and Its Applications --
7.4.Exercises --
7.5.Bibliographic Remarks --
8.Quantum Channel Capacities --
8.1.Classical Information Over Quantum Channels --
8.2.Quantum Information Over Quantum Channels --
8.3.Non-Additivity and Super-Activation --
8.4.Exercises --
8.5.Bibliographic Remarks.
Responsibility: John Watrous, University of Waterloo, Canada.

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