Generation of NPT Entanglement from Nonclassical Photon Statistics

Abstract

With a product state of the form $ρ_{in} = ρ_a\otimes|0>_b_b< 0|$ as input, the output two-mode state ${\rho }_{\mathrm{out}}$, of the beam splitter is shown to be NPT whenever the photon number distribution (PND) statistics $\{p(n_a)\}$ associated with the possibly mixed state ${\rho }_a$ of the a_mode is antibunched or otherwise nonclassical, i.e., if $\{p(n_a)\}$ fails to respect any one of an infinite of classicality conditions.

4 pages