Figure 4
From: Experimental violation and reformulation of the Heisenberg's error-disturbance uncertainty relation
Measurement error (a) and disturbance (b) as functions of measurement strength s = cos 2θ.
Solid lines show the theoretical error and the disturbance after the non-ideal extinction ratio of a PBS is taken into account. Dashed lines show theoretical curves for an ideal PBS, which has perfect extinction ratio. Experimentally measured quantities O (solid circles) and H (solid squares) appearing in Ozawa's quantity (12) and Heisenberg's quantity (11), respectively (c). Upper and lower solid lines are corresponding theoretical plots as functions of measurement strength after the non-ideal PBS extinction ratio is taken into account. Dashed and dotted lines are theoretical plots for an ideal PBS. From Eq.(4) and Eq.(5), both uncertainty relations have the same lower bound C(Z, X) = 1 (middle solid line). The data clearly demonstrate that Ozawa's relation is always valid, whereas Heisenberg's relation is false for all measurement strengths.
