The Theory of Quantum Information

John Watrous (University of Waterloo, Ontario)

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Hardback

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English

Cambridge University Press
26 April 2018

Discrete mathematics; Algebra; Algebraic geometry; Quantum physics (quantum mechanics & quantum field theory); Mathematical theory of computation

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.

By: John Watrous (University of Waterloo Ontario)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 255mm, Width: 179mm, Spine: 37mm
Weight: 1.200kg
ISBN: 9781107180567
ISBN 10: 1107180562
Pages: 598
Publication Date: 26 April 2018
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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; References; List of symbols and notations; Index.

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.

Reviews for The Theory of Quantum Information

'This is a great book that fulfills a vital need: a unified, precise, and complete presentation of the most important topics in quantum information … Reading the book in detail (verifying the proofs all the while) gave me a solid, confident understanding of the techniques used by those in the field - an understanding that I am eager to apply in the future.' Stephen A. Fenner, SIGACT News