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Formulation of uncertainty relation between error and disturbance in quantum measurement by using quantum estimation theory [electronic resource]

자료유형

E-Book(소장)

개인저자

Watanabe, Yu.

서명 / 저자사항

Formulation of uncertainty relation between error and disturbance in quantum measurement by using quantum estimation theory [electronic resource] / Yu Watanabe.

발행사항

Tokyo : Springer Japan : Imprint: Springer, 2014.

형태사항

1 online resource (xiii, 122 p.) : ill. (some col.).

총서사항

Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053

ISBN

9784431544937

요약

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.

일반주기

Title from e-Book title page.

내용주기

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.

서지주기

Includes bibliographical references.

이용가능한 다른형태자료

Issued also as a book.

일반주제명

Quantum measure theory.

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URL

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245	1 0	▼a Formulation of uncertainty relation between error and disturbance in quantum measurement by using quantum estimation theory ▼h [electronic resource] / ▼c Yu Watanabe.
260		▼a Tokyo : ▼b Springer Japan : ▼b Imprint: Springer, ▼c 2014.
300		▼a 1 online resource (xiii, 122 p.) : ▼b ill. (some col.).
336		▼a text ▼b txt ▼2 rdacontent
337		▼a computer ▼b c ▼2 rdamedia
338		▼a online resource ▼b cr ▼2 rdacarrier
490	1	▼a Springer Theses, Recognizing Outstanding Ph.D. Research, ▼x 2190-5053
500		▼a Title from e-Book title page.
504		▼a Includes bibliographical references.
505	0	▼a 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.
520		▼a 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.
530		▼a Issued also as a book.
538		▼a Mode of access: World Wide Web.
650	0	▼a Quantum measure theory.
830	0	▼a Springer Theses, Recognizing Outstanding Ph.D. Research.
856	4 0	▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-4-431-54493-7
945		▼a KLPA
991		▼a E-Book(소장)

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No.	소장처	청구기호	등록번호	도서상태	반납예정일	예약	서비스
No. 1	소장처 중앙도서관/e-Book 컬렉션/	청구기호 CR 530.12015154	등록번호 E14035247	도서상태 대출불가(열람가능)	반납예정일	예약	서비스 M

Formulation of uncertainty relation between error and disturbance in quantum measurement by using quantum estimation theory [electronic resource]

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