The Mathematical Language of Quantum Theory

The Mathematical Language of Quantum Theory : From Uncertainty to Entanglement

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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.
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Product details

  • Electronic book text
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • English
  • 28 b/w illus. 2 tables 101 exercises
  • 1139031104
  • 9781139031103

Review quote

"The authors are renowned experts in the field, and I find their presentation masterful..the authors present a thorough and well-structured treatise on the mathematical language of quantum theory. I can recommend it to any graduate student with some experience in quantum computing who is interested in the foundations of the subject." Thomas Peters in Contemporary Physics "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
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Table of contents

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