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We provide optimal measurement schemes for estimating relative parameters ofthe quantum state of a pair of spin systems. We prove that the optimalmeasurements are joint measurements on the pair of systems, meaning that theycannot be achieved by local operations and classical communication. We alsodemonstrate that in the limit where one of the spins becomes macroscopic, ourresults reproduce those that are obtained by treating that spin as a classicalreference direction.Comment: 6 pages, 1 figure, published versio

Optimal measurements for relative quantum information