Abstract
In the famous quantum communication scheme developed by Duan {\it et al.}[L.M. Duan, M.D. Lukin, J.I. Cirac, and P. Zoller, Nature (London) {\bf 414} 413 (2001)], the probability of successful generating a symmetric collective atomic state with a single-photon emitted have to be far smaller than 1 to obtain an acceptable entangled state. Because of strong dipole-dipole interaction between two Rydberg atoms, more than one simultaneous excitations in an atomic ensembles are greatly suppressed, which makes it possible to excite a mesoscopic cold atomic ensemble into a singly-excited symmetric collective state accompanied by a signal photon with near unity success probability, at the same higher-order excitations can be significantly inhibited.
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