A novel quantum optical interference experiment based on a delayed cor
relation technique and involving photons prepared in a polarization-en
tangled state is presented. The resulting phenomenology is found to be
determined by the simultaneous realization of several non-classical i
nterference processes of distinct nature albeit strictly interrelated.
A formal interpretation of the results is attempted by a standard qua
ntum analysis and by the adoption of a set of interfering Feynman diag
rams. In addition, a physical interpretation at a deeper level is unde
rtaken by introducing for the system the basic theoretical background
of a new concept in quantum optics: entangled interferometry. As a rel
evant application of this new paradigm, a novel two-photon welcher-weg
argument within a delayed-choice experiment is presented. It leads to
an unexpected complementarity puzzle which expresses the manifestatio
n of the EPR non-locality within the general context of interferometry
. PACS numbers: 03.65.Bz, 42.50.-p, 42.50.Wm.