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Robustness of measurement, discrimination games and accessible information

Research output: Contribution to journalArticle

Original languageEnglish
Article number140402
Number of pages6
JournalPhysical Review Letters
Volume122
Issue number14
DOIs
DateAccepted/In press - 9 Jan 2019
DatePublished (current) - 10 Apr 2019

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.

    Structured keywords

  • Bristol Quantum Information Institute
  • QITG

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    Rights statement: This is the final published version of the article (version of record). It first appeared online via APS at https://doi.org/10.1103/PhysRevLett.122.140403 . Please refer to any applicable terms of use of the publisher.

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