The Mathematical Language of Quantum Theory
From Uncertainty to Entanglement

A clear and detailed exposition of the fundamental concepts of quantum theory for graduate students and researchers.

Teiko Heinosaari (Author), Mário Ziman (Author)

9780521195836, Cambridge University Press

Hardback, published 15 December 2011

339 pages, 28 b/w illus. 2 tables 101 exercises
25.3 x 18 x 2 cm, 0.82 kg

"In summary, this is a fine book that will serve well theoretical quantum physicists wishing to acquire essential mathematical tools and deepen their insight into the mathematical foundations of quantum theory;"
Paul Busch, Mathematical Reviews

For almost every student of physics, the first course on quantum theory raises a lot of puzzling questions and creates a very uncertain picture of the quantum world. This book presents a clear and detailed exposition of the fundamental concepts of quantum theory: states, effects, observables, channels and instruments. It introduces several up-to-date topics, such as state discrimination, quantum tomography, measurement disturbance and entanglement distillation. A separate chapter is devoted to quantum entanglement. The theory is illustrated with numerous examples, reflecting recent developments in the field. The treatment emphasises quantum information, though its general approach makes it a useful resource for graduate students and researchers in all subfields of quantum theory. Focusing on mathematically precise formulations, the book summarises the relevant mathematics.

Introduction
1. Hilbert space refresher
2. States and effects
3. Observables
4. Operations and channels
5. Measurement models and instruments
6. Entanglement
Bibliography
Index.

Subject Areas: Physics [PH], Mathematics & science [P]