A1 Refereed original research article in a scientific journal
All quantum resources provide an advantage in exclusion tasks
Authors: Roope Uola, Tom Bullock, Tristan Kraft, Juha-Pekka Pellonpää, Nicolas Brunner
Publisher: American Physical Society
Publication year: 2020
Journal: Physical Review Letters
Journal acronym: PRL
Article number: 110402
Volume: 125
Issue: 11
First page : 110402
Number of pages: 6
ISSN: 0031-9007
eISSN: 1079-7114
DOI: https://doi.org/10.1103/PhysRevLett.125.110402
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/49959968
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 (or antidistinguishability) 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
characterization of the convex components and corresponding weights of such devices.
DOI: 10.1103/PhysRevLett.125.110402
Downloadable publication This is an electronic reprint of the original article. |  |
