Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory (Hardcover, 2014 ed.)

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.

General

Imprint:	Springer Verlag,Japan
Country of origin:	Japan
Series:	Springer Theses
Release date:	2014
First published:	2014
Authors:	Yu Watanabe
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Hardcover
Pages:	122
Edition:	2014 ed.
ISBN-13:	978-4-431-54492-0
Categories:	Books > Social sciences > Education > Organization & management of education > Examinations & assessment Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Thermodynamics Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	4-431-54492-5
Barcode:	9784431544920

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