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The Resource Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory, by Yu Watanabe, (electronic resource)

Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory, by Yu Watanabe, (electronic resource)

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Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory
Title
Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory
Statement of responsibility
by Yu Watanabe
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Language
eng
Summary
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
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Literary form
non fiction
Series statement
Springer Theses, Recognizing Outstanding Ph.D. Research,
Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory, by Yu Watanabe, (electronic resource)
Label
Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory, by Yu Watanabe, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-4-431-54493-7
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Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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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https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9784431544937&userID=ebsco-test&password=ebsco-test
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unknown
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{'f': 'http://opac.lib.rpi.edu/record=b3552213'}
Extent
XIII, 122 p. 8 illus., 5 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9784431544937
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

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