  We theoretically investigate the magnitude and range of the photon-mediated
interaction between two quantum dots embedded in a photonic crystal waveguide,
including fabrication disorder both in the crystal and in the dot positioning.
We find that disorder-induced light localization has a drastic effect on the
excitation transfer rate - as compared to an ideal structure - and that this
rate varies widely among different disorder configurations. Nevertheless, we
also find that significant rates of 50 micro-eV at a range of 10 micro-meters
can be achieved in realistic systems.
