Tuesday, July 23, 2013

1307.5733 (Roberto Beneduci)

Uniform continuity of POVMs    [PDF]

Roberto Beneduci
Recently a characterization of uniformly continuous POVMs and a necessary condition for a uniformly continuous POVM $F$ 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.
View original: http://arxiv.org/abs/1307.5733

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