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Book Cover
E-book
Author Heinosaari, Teiko.

Title The mathematical language of quantum theory : from uncertainty to entanglement / Teiko Heinosaari, Mário Ziman
Published Cambridge ; New York : Cambridge University Press, 2011

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Description 1 online resource (1 volume) : illustrations
Contents Cover; THE MATHEMATICAL LANGUAGE OF QUANTUM THEORY; Series; Title; Copyright; Contents; Preface; Introduction; 1: Hilbert space refresher; 1.1: Hilbert spaces; 1.1.1 Finite- and infinite-dimensional Hilbert spaces; 1.1.2 Basis expansion; 1.1.3 Example: L2(O); 1.2: Operators on Hilbert spaces; 1.2.1 The C*-algebra of bounded operators; 1.2.2 Partially ordered vector space of selfadjoint operators; 1.2.3 Orthocomplemented lattice of projections; 1.2.4 Group of unitary operators; 1.2.5 Ideal of trace class operators; 1.3: Additional useful mathematics; 1.3.1 Weak operator topology
Summary "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"-- Provided by publisher
Bibliography Includes bibliographical references (pages 318-324) and index
Notes English
Print version record
Subject Quantum theory -- Mathematics
SCIENCE -- Mathematical Physics.
SCIENCE -- Physics -- Quantum Theory.
Quantum theory -- Mathematics
Form Electronic book
Author Ziman, Mário.
ISBN 9781139223539
1139223534
9781139031103
1139031104
9781139217002
1139217003