Scientific article
Open access

All quantum resources provide an advantage in exclusion tasks

Published inPhysical Review Letters, vol. 125, no. 110402
Publication date2020

A key ingredient in quantum resource theories is a notion of measure. Such as a measure should have a number of fundamental properties, and desirably also a clear operational meaning. Here we show that a natural measure known as the convex weight, which quantifies the resource cost of a quantum device, has all the desired properties. In particular, the convex weight of any quantum resource corresponds exactly to the relative advantage it offers in an exclusion task. After presenting the general result, we show how the construction works for state assemblages, sets of measurements and sets of transformations. Moreover, in order to bound the convex weight analytically, we give a complete characterisation of the convex components and corresponding weights of such devices.

  • arxiv : quant-ph
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Citation (ISO format)
UOLA, Roope Kristian et al. All quantum resources provide an advantage in exclusion tasks. In: Physical Review Letters, 2020, vol. 125, n° 110402. doi: 10.1103/PhysRevLett.125.110402
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Article (Accepted version)
ISSN of the journal0031-9007

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