  We propose a setup allowing to entangle two directly non-interacting
radiation modes applying four sequential pulsed quantum resonant interactions
with a noisy vibrational mode of a mechanical oscillator which plays the role
of the mediator. We analyze Gaussian entanglement of the radiation modes
generated by the transducer and confirm that the noisy mechanical mode can
mediate generation of entanglement. The entanglement, however, is limited if
the interaction gains are not individually optimized. We prove the robustness
of the transducer to optical losses and the influence of the mechanical bath
and propose the ways to achieve maximal performance through the individual
optimization.
