A resource theory of quantum measurements

Resource theories are broad frameworks that capture how useful objects in performing specific tasks. In this paper we devise a formal resource theory quantum measurements, focusing on the ability of measurement to acquire information. The equivalence classes positive operator-valued measures (POVMs), and free transformations changes device can only deteriorate its report information about physical system. We show catalysis purification, protocols possible other theories, impossible our for measurements. Standard gain shown be monotones, is applied task state discrimination.