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Publication - Dr Paul Skrzypczyk

    Robustness of Measurement, Discrimination Games, and Accessible Information

    Citation

    Skrzypczyk, P & Linden, N, 2019, ‘Robustness of Measurement, Discrimination Games, and Accessible Information’. Physical Review Letters, vol 122.

    Abstract

    We introduce a resource theory of measurement informativeness. This allows us to define an associated quantifier, which we call the robustness of measurement. It describes how much "noise" must be added to a measurement before it becomes completely uninformative. We show that this geometric quantifier has operational significance in terms of the advantage the measurement provides over guessing at random in a suitably chosen state discrimination game and that it is the single-shot generalization of the accessible information of a certain quantum-to-classical channel. Using this insight, we further show that the recently introduced robustness of asymmetry or coherence is the single-shot generalization of the accessible information of an ensemble. Finally, we discuss more generally the connection between robustness-based measures, discrimination problems, and information-theoretic quantities.

    Full details in the University publications repository