A resource theory of quantum measurements

IOP Publishing Ltd
Publication Type:
Journal Article
Journal of Physics A: Mathematical and Theoretical, 2021, 54, (22)
Issue Date:
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Resource theories are broad frameworks that capture how useful objects are in performing specific tasks. In this paperwe devise a formal resource theory quantum measurements, focusing on the ability of a measurement to acquire information. The objects of the theory are equivalence classes of positive operatorvalued measures, and the free transformations are changes to a measurement device that can only deteriorate its ability to report information about a physical system. We show that catalysis and purification, protocols that are possible in other resource theories, are impossible in our resource theory for quantum measurements. Standard measures of information gain are shown to be resource monotones, and the resource theory is applied to the task of quantum state discrimination.
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