  We suggest overcoming the "Rayleigh catastrophe" and reaching superresolution
for imaging with both spatially and temporally-correlated field of a
superradiant quantum antenna. Considering far-field radiation of two
interacting spontaneously emitting two-level systems, we show that for the
measurement of the temporally-delayed second-order correlation function of the
scattered field, the Fisher information does not tend to zero with diminishing
the distance between a pair of scatterers even for non-sharp time-averaged
detection. For position estimation of a larger number of scatterers,
measurement of the time-delayed function is able to provide a considerable
accuracy gain over the zero-delayed function. We show also that the
superresolution with the considered quantum antenna can be achieved for both
near-field imaging and estimating parameters of the antenna.
