Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory pp 101-113 | Cite as
Uncertainty Relations Between Measurement Errors of Two Observables
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Abstract
When we have i.i.d. unknown quantum states of \({\hat{\rho }}\), how precisely can we estimate expectation values \(\langle {{\hat{A}}}\rangle \) and \(\langle {{\hat{B}}}\rangle \) of two non-commuting observables \({\hat{A}}\) and \({\hat{B}}\)? In this chapter, we show the uncertainty relations between the measurement errors of the two observables.
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