Abstract
We discuss the problem of how a (commutative) generalized observable in a finite-dimensional Hilbert space (communtative effect-valued resolution of the identity) can be considered as an unsharp realization of some standard observable (projection-valued resolution of the identity). In particular, we give a concrete procedure for constructing such a standard observable. Some results about the “uniqueness” of the resulting observable are also examined.
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Cattaneo, G., Marsico, T., Nisticò, G. et al. A concrete procedure for obtaining sharp reconstructions of unsharp observables in finite-dimensional quantum mechanics. Found Phys 27, 1323–1343 (1997). https://doi.org/10.1007/BF02551515
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DOI: https://doi.org/10.1007/BF02551515