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

1. Introduction
Yu Watanabe

2. Reviews of Uncertainty Relations
Yu Watanabe

3. Classical Estimation Theory
Yu Watanabe

4. Quantum Estimation Theory
Yu Watanabe

5. Expansion of Linear Operators by Generators of Lie Algebra mathfrak {su}(d)



su
(
d
)





Yu Watanabe

6. Lie Algebraic Approach to the Fisher Information Contents
Yu Watanabe

7. Error and Disturbance in Quantum Measurements
Yu Watanabe

8. Uncertainty Relations Between Measurement Errors of Two Observables
Yu Watanabe

9. Uncertainty Relations Between Error and Disturbance in Quantum Measurements
Yu Watanabe

10. Summary and Discussion
Yu Watanabe

Keywords: Physics, Thermodynamics, Quantum Information Technology, Spintronics, Assessment, Testing and Evaluation, Mathematical Methods in Physics