Notes on coarse grainings and functions of observables
A. Dvurecenskij, P. Lahti, S. Pulmannova, K. Ylinen
Abstract
Using the Naimark dilation theory we investigate the question under what conditions an observable which is a coarse graining of another observable is a function of it. To this end, conditions for the separability and for the Boolean structure of an observable are given.
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