English

Nonclassicality and the concept of local constraints on the photon number distribution

Quantum Physics 2007-05-23 v1

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 p_n. Central to our approach is the realization that n !p_n constitutes the sequence of moments of a (quasi) probability distribution, notwithstanding the fact that p_n can by itself be regarded as a probability distribution. This leads to classicality restrictions on p_n that are local in n involving p_n's for only a small number of consecutive n's, enabling a critical examination of the conjecture that oscillation in p_n is a signature of nonclassicality.

Keywords

Cite

@article{arxiv.quant-ph/9708038,
  title  = {Nonclassicality and the concept of local constraints on the photon number distribution},
  author = {R. Simon and Mary Selvadoray and Arvind and N. Mukunda},
  journal= {arXiv preprint arXiv:quant-ph/9708038},
  year   = {2007}
}

Comments

Five pages in revtex with one ps figure included using epsf