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Formulation of Uncertainty Relation Between Error and Disturbance in Quantum
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Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory Hardback - 2014

by Yu Watanabe

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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.

Details

  • Title Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory
  • Author Yu Watanabe
  • Binding Hardback
  • Pages 122
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2014-01-02
  • Illustrated Yes
  • Features Illustrated
  • ISBN 9784431544920 / 4431544925
  • Weight 0.82 lbs (0.37 kg)
  • Dimensions 9.21 x 6.14 x 0.38 in (23.39 x 15.60 x 0.97 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Category Science
  • Dewey Decimal Code 371.26

About the author

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

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

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2014. Tokyo 102-0073, Springer Tokyo, 2014. 235 mm x 155 mm. XIII, 122 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped. Springer Theses.
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Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; 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 an
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Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using...
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Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory

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

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

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

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