Springer Theses

Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory

Authors: Watanabe, Yu

  • Formulates error and disturbance in quantum measurement in terms of Fisher information
  • Calculates the classical and quantum Fisher information using a Lie algebraic approach
  • Establishes in a groundbreaking work the fundamental bound on the accuracy of one measured observable and the disturbance on its conjugate one in the spirit of Heisenberg
  • Nominated as an outstanding contribution by the University of Tokyo's Physics Department in 2012
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  • ISBN 978-4-431-54493-7
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Hardcover $109.99
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Softcover $109.99
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  • Due: October 14, 2016
  • ISBN 978-4-431-56172-9
  • Free shipping for individuals worldwide
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About this book

In this thesis, quantum estimation theory is applied to investigate uncertainty relations between error and disturbance in quantum measurement. The author argues that the best solution for clarifying the attainable bound of the error and disturbance is to invoke the estimation process from the measurement outcomes such as signals from a photodetector in a quantum optical system. The error and disturbance in terms of the Fisher information content have been successfully formulated and provide the upper bound of the accuracy of the estimation. Moreover, the attainable bound of the error and disturbance in quantum measurement has been derived.

The obtained bound is determined for the first time by the quantum fluctuations and correlation functions of the observables, which characterize the non-classical fluctuation of the observables. The result provides the upper bound of our knowledge obtained by quantum measurements.

The method developed in this thesis will be applied to a broad class of problems related to quantum measurement to build a next-generation clock standard and to successfully detect gravitational waves.

About the authors

Dr. Yu Watanabe
Kyoto University
Kitashirakawa Oiwake-Cho,
Sakyo-Ku, Kyoto
606-8502 Japan
yuwata@yukawa.kyoto-u.ac.jp

Table of contents (10 chapters)

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-4-431-54493-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA
  • ISBN 978-4-431-54492-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 14, 2016
  • ISBN 978-4-431-56172-9
  • Free shipping for individuals worldwide
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory
Authors
Series Title
Springer Theses
Copyright
2014
Publisher
Springer Japan
Copyright Holder
Springer Japan
eBook ISBN
978-4-431-54493-7
DOI
10.1007/978-4-431-54493-7
Hardcover ISBN
978-4-431-54492-0
Softcover ISBN
978-4-431-56172-9
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIII, 122
Number of Illustrations and Tables
3 b/w illustrations, 5 illustrations in colour
Topics