Uniform continuity of POVMs
arXiv:1307.5733 · doi:10.1007/s10773-013-1883-x
Abstract
Recently a characterization of uniformly continuous POVMs and a necessary condition for a uniformly continuous POVM to have the norm-1 property have been provided. Moreover it was proved that in the commutative case, uniform continuity corresponds to the existence of a Feller Markov kernel. We apply such results to the analysis of some relevant physical examples; i.e., the phase space localization observables, the unsharp phase observable and the unsharp number observable of which we study the uniform continuity, the norm-1 property and the existence of a Feller Markov kernel.
16 pages. arXiv admin note: substantial text overlap with arXiv:1207.0086