We show that pairs of atoms optically excited to the Rydberg states can strongly interact with each other via effective long-range dipole-dipole or van der Waals interactions mediated by their non-resonant coupling to a common microwave field mode of a superconducting coplanar waveguide cavity. These cavity mediated interactions can be employed to generate single photons and to realize in a scalable configuration a universal phase gate between pairs of single photon pulses propagating or stored in atomic ensembles in the regime of electromagnetically induced transparency.
@article{arxiv.0802.2154,
title = {Quantum information processing with single photons and atomic ensembles in microwave coplanar waveguide resonators},
author = {David Petrosyan and Michael Fleischhauer},
journal= {arXiv preprint arXiv:0802.2154},
year = {2008}
}