Formulation of uncertainty relation between error and disturbance in quantum measurement by using quantum estimation theory

著者

    • Watanabe, Yu

書誌事項

Formulation of uncertainty relation between error and disturbance in quantum measurement by using quantum estimation theory

Yu Watanabe

(Springer theses : recognizing outstanding Ph. D. research)

Springer, c2014

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

Introduction.- Reviews of Uncertainty Relations.- Classical Estimation Theory.- Quantum Estimation Theory.- Expansion of Linear Operators by Generators of Lie Algebra su(d).- Lie Algebraic Approach to the Fisher Information Contents.- Error and Disturbance in Quantum Measurements.- Uncertainty Relations between Measurement Errors of Two Observables.- Uncertainty Relations between Error and Disturbance in Quantum Measurements.- Summary and Discussion.

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詳細情報

  • NII書誌ID(NCID)
    BB15618755
  • ISBN
    • 9784431544920
  • LCCN
    2013947354
  • 出版国コード
    ja
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Tokyo
  • ページ数/冊数
    xiii, 122 p.
  • 大きさ
    25 cm
  • 分類
  • 親書誌ID
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