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Introduction to Quantum-State Estimation

Introduction to Quantum-State Estimation by Yong Siah Teo
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Quantum-state estimation is an important field in quantum information theory that deals with the characterization of states of affairs for quantum sources. This book begins with background formalism in estimation theory to establish the necessary prerequisites. This basic understanding allows us to explore popular likelihood- and entropy-related estimation schemes that are suitable for an introductory survey on the subject. Discussions on practical aspects of quantum-state estimation ensue, with emphasis on the evaluation of tomographic performances for estimation schemes, experimental realizations of quantum measurements and detection of single-mode multi-photon sources. Finally, the concepts of phase-space distribution functions, which compatibly describe these multi-photon sources, are introduced to bridge the gap between discrete and continuous quantum degrees of freedom.

This book is intended to serve as an instructive and self-contained medium for advanced undergraduate and postgraduate students to grasp the basics of quantum-state estimation. Any reader with a solid foundation in quantum mechanics, linear algebra and calculus would be able to follow the book comfortably.

  • Preface
  • Acknowledgments
  • Acronyms
  • Symbols and Notations
  • Preliminaries of Quantum-State Estimation
  • Informationally Complete Estimation
  • Informationally Incomplete Estimation
  • Practical Aspects of State Estimation
  • Quasi-Probability Distributions

Readership: Advanced undergraduate and graduate students as well as researchers interested in quantum information, estimation theory, and quantum optics.
World Scientific Publishing Company; August 2015
396 pages; ISBN 9789814678865
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Title: Introduction to Quantum-State Estimation
Author: Yong Siah Teo