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Entropic uncertainty from effective anticommutators

Entropic uncertainty from effective anticommutators

We investigate entropic uncertainty relations for two or more binary measurements, for example, spin-$\frac{1}{2}$ or polarization measurements. We argue that the effective anticommutators of these measurements, i.e., the anticommutators evaluated on the state prior to measuring, are an expedient measure of measurement incompatibility. Based on the knowledge of pairwise effective …