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Publication - Dr Paul Skrzypczyk

    All sets of incompatible measurements give an advantage in quantum state discrimination

    Citation

    Skrzypczyk, P, Supic, I & Cavalcanti, D, 2019, ‘All sets of incompatible measurements give an advantage in quantum state discrimination’. Physical Review Letters, vol 122.

    Abstract

    Some quantum measurements cannot be performed simultaneously; i.e., they are incompatible. Here we show that every set of incompatible measurements provides an advantage over compatible ones in a suitably chosen quantum state discrimination task. This is proven by showing that the robustness of incompatibility, a quantifier of how much noise a set of measurements tolerates before becoming compatible, has an operational interpretation as the advantage in an optimally chosen discrimination task. We also show that if we take a resource-theory perspective of measurement incompatibility, then the guessing probability in discrimination tasks of this type forms a complete set of monotones that completely characterize the partial order in the resource theory. Finally, we make use of previously known relations between measurement incompatibility and Einstein-Podolsky-Rosen steering to also relate the latter with quantum state discrimination.

    Full details in the University publications repository