Journal
PHYSICAL REVIEW LETTERS
Volume 122, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.122.130403
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Funding
- Royal Society through a URF (UHQT)
- Swiss National Science Foundation (Starting Grant DIAQ)
- Ramon y Cajal fellowship
- Spanish MINECO (Severo Ochoa) [SEV-2015-0522]
- Fundacio Privada Cellex
- Generalitat de Catalunya (CERCA Program)
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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.
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