Theory of quantum information
- Cambridge : Cambridge University Press, 2018
- viii, 590 p. ; ill., 26 cm
Includes bibliographical references and index.
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.
9781107180567
Quantum theory Albert's theorem Auxiliary register Borel function Channel discrimination Dense coding Entanglement entropy Fannes-Audenaert-inequality Haar measure Holevo's theorem Induced trace norm Lieb's concavity theorem Midpoint concave function Nayak's theorem; One-way LOCC channel Quantum capacity theorem Separable map Tsirelson's theorem Uhlmann's theorem Von Neumann entropy