Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory
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 measu...
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| Language: | English |
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Tokyo :
Springer Japan : Imprint: Springer,
2014.
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| Edition: | 1st ed. 2014. |
| Series: | Springer Theses, Recognizing Outstanding Ph.D. Research,
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| Online Access: | https://doi.org/10.1007/978-4-431-54493-7 |
Table of 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.