  Two-photon interference is an indispensable resource in quantum photonics,
but it is not straightforward to achieve. The cascaded generation of photon
pairs contains intrinsic temporal correlations that negatively affect the
ability of such sources to perform two-photon interference, thus hindering
applications. We report on how such correlation interplays with decoherence and
temporal postselection, and under which conditions temporal postselection could
improve two-photon interference visibility. Our study identifies crucial
parameters and points the way to a source with optimal performance.
