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Uncertainties of genuinely incompatible triple measurements based on statistical distance

Qin, Hui-Hui ; Zhang, Ting-Gui ; Jost, Leonardo ; Sun, Chang-Pu ; Li-Jost, Xianqing ; Fei, Shao-Ming



Abstract

We investigate the measurement uncertainties of a triple of positive-operator-valued measures based on statistical distance and formulate state-independent tight uncertainty inequalities satisfied by the three measurements in terms of triplewise joint measurability. In particular, uncertainty inequalities for three unbiased qubit measurements are presented with analytical lower bounds which ...

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