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arXiv · 1307.5733

Uniform continuity of POVMs

Roberto Beneduci
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Abstract

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.

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Roberto Beneduci. 2013-07-22. Uniform continuity of POVMs. https://doi.org/10.1007/s10773-013-1883-x

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