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The uncertainty principle can be expressed in entropic terms, also takinginto account the role of entanglement in reducing uncertainty. The informationexclusion principle bounds instead the correlations that can exist between theoutcomes of incompatible measurements on one physical system, and a secondreference system. We provide a more stringent formulation of both theuncertainty principle and the information exclusion principle, with directapplications for, e.g., the security analysis of quantum key distribution,entanglement estimation, and quantum communication. We also highlight afundamental distinction between the complementarity of observables in terms ofuncertainty and in terms of information.

Improved entropic uncertainty relations and information exclusion relations