  It is shown that quantum illumination with three photons non-Gaussian states,
where the signal is described by a two photons state and the idler is described
by a one photon state, can outperform in sensitivity standard Gaussian quantum
illumination in a high noisy background. In particular, there is a reduction in
the probability due to an increase in the probability of error exponent by a
factor $1/{N_S}$, where $N_S$ is the average number of photons per mode of the
signal state.
