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Introduction to quantum-state estimation / Yong Siah Teo.

By: Material type: TextTextPublication details: Singapore : World Scientific, ©2016.Description: xxxii, 363 p. : illustrations ; 24 cmISBN:
  • 9789814678841
Subject(s): DDC classification:
  • 530.12 23 T314
Contents:
1. Preliminaries of quantum-state estimation -- 2. Informationally complete estimation -- 3. Informationally incomplete estimation -- 4. Practical aspects of state estimation -- 5. Quasi-probability distributions.
Summary: 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.
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Includes bibliographical references and index.

1. Preliminaries of quantum-state estimation --
2. Informationally complete estimation --
3. Informationally incomplete estimation --
4. Practical aspects of state estimation --
5. Quasi-probability distributions.

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.

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