Robustness of Measurement, Discrimination Games, and Accessible Information

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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.

Original languageEnglish
Article number140403
Number of pages6
JournalPhysical Review Letters
Issue number14
Early online date10 Apr 2019
Publication statusPublished - 12 Apr 2019


Structured keywords

  • Bristol Quantum Information Institute
  • QITG

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