Operational relevance of resource theories of quantum measurements

Understand

For any resource theory it is essential to identify tasks for which resource objects offer advantage over free objects.

• We show that this identification can always be accomplished for resource theories of quantum measurements in which free objects form a convex subset of measurements on a given Hilbert space.
• To this aim we prove that every resource measurement offers advantage for some quantum state discrimination task.
• Moreover, we give an operational interpretation of robustness, which quantifies the minimal amount of noise that must be added to a measurement to make it free.