2019/02/28 by Thomas Guff, Nathan A. McMahon, Nathan A McMahon +3
Computer Science · Physics and Astronomy · #Equivalence (formal languages) #Information theory #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum information #Quantum state #Resource (disambiguation) #Resource dependence theory #Task (project management) #quant-ph
paper · pdf · doi:10.1088/1751-8121/abed67
published as J. Phys. A: Math. Theor. 54 225301 (2021) · 13 pages, 1 figure, 3 appendices
openalex created_date 2019/07/12 · openalex publication_date 2021/03/10 · arxiv created 2021/04/30 · arxiv updated 2021/05/03 · openalex updated_date 2026/08/05
Abstract Resource theories are broad frameworks that capture how useful objects are in performing specific tasks. In this paper we 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 operator-valued 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.