Operational interpretation of weight-based resource quantifiers in convex quantum resource theories

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Abstract

We introduce the resource quantifier of weight of resource for convex quantum resource theories of states and measurements with arbitrary resources. We show that it captures the advantage that a resourceful state (measurement) offers over all possible free states (measurements), in the operational task of exclusion of subchannels (states). Furthermore, we introduce information-theoretic quantities related to exclusion for quantum channels, and find a connection between the weight of resource of a measurement, and the exclusion-type information of quantum-to-classical channels. The results found in this article apply to the resource theory of entanglement, in which the weight of resource is known as the best-separable approximation or Lewenstein-Sanpera decomposition, introduced in 1998. Consequently, the results found here provide an operational interpretation to this 21 year-old entanglement quantifier.
Original languageEnglish
Article number110401
Number of pages6
JournalPhysical Review Letters
Volume125
Issue number11
DOIs
Publication statusPublished - 9 Sep 2020

Structured keywords

  • Bristol Quantum Information Institute
  • QITG

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