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Tight Bounds from Multiple‐Observable Entropic Uncertainty Relations

Tight Bounds from Multiple‐Observable Entropic Uncertainty Relations

Abstract The additivity properties for both bipartite and multipartite systems are investigated by using entropic uncertainty relations (EUR) defined in terms of the joint Shannon entropy of probabilities of local measurement outcomes. In particular, state‐independent and state‐dependent entropic inequalities are introduced. Interestingly, the violation of these inequalities is strictly connected …