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

Research output: Contribution to journalArticle

Original languageEnglish
Article number130403
Number of pages6
JournalPhysical Review Letters
Volume122
Issue number13
DOIs
DateAccepted/In press - 28 Feb 2019
DatePublished (current) - 2 Apr 2019

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.

    Research areas

  • quantum measurements, quantum nonlocality, resource theories

    Structured keywords

  • QITG
  • Bristol Quantum Information Institute

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    Rights statement: This is the final published version of the article (version of record). It first appeared online via American Physical Society at https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.130403. Please refer to any applicable terms of use of the publisher.

    Final published version, 161 KB, PDF-document

  • Supplementary information PDF

    Rights statement: This is the final published version of the article (version of record). It first appeared online via American Physical Society at https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.130403. Please refer to any applicable terms of use of the publisher.

    Final published version, 201 KB, PDF-document

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