NOTES ON COARSE GRAININGS AND FUNCTIONS OF OBSERVABLES
A. Dvurečenskij, P. Lahti, S. Pulmannová, K. Ylinen · 2004
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.