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Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory [2013]

1
Introduction
2
Reviews of Uncertainty Relations
3
Classical Estimation Theory
4
Quantum Estimation Theory
5
Expansion of Linear Operators by Generators of Lie Algebra <inline-formula><alternatives><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>su</mi><mo>(</mo><mi>d</mi><mo>)</mo></mrow></math><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {su}(d)$$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula>
6
Lie Algebraic Approach to the Fisher Information Contents
7
Error and Disturbance in Quantum Measurements
8
Uncertainty Relations Between Measurement Errors of Two Observables
9
Uncertainty Relations Between Error and Disturbance in Quantum Measurements
10
Summary and Discussion
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