Nonclassicality and the concept of local constraints on the photon number distribution
R. Simon, Mary Selvadoray, Arvind, N. Mukunda
Abstract
We exploit results from the classical Stieltjes moment problem to bring out the totality of all the information regarding phase insensitive nonclassicality of a state as captured by the photon number distribution pn. Central to our approach is the realization that n !pn constitutes the sequence of moments of a (quasi) probability distribution, notwithstanding the fact that pn can by itself be regarded as a probability distribution. This leads to classicality restrictions on pn that are local in n involving pn's for only a small number of consecutive n's, enabling a critical examination of the conjecture that oscillation in pn is a signature of nonclassicality.
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