Entanglement and statistics in Hong-Ou-Mandel interferometry

Hong-Ou-Mandel interferometry allows one to detect the presence of entanglement in two-photon input states.The same result holds for two-particles input states which obey to Fermionic statistics.In the latter case however anti-bouncing introduces qualitative differences in the interferometer response.This effect is analyzed in the context of multi-mode electronic entanglement in a mesoscopic conductor where zero-frequency current correlations take the place of photo-coincidence.By this mean, one can establish a lower bound to the entanglement of formation of two-electron input states extending a previous result by Burkard and Loss.The relation between entanglement and statistics is finally analyzed in a Gedankenexperiment where the particles entering the HOM interferometer are assumed to belong to a one-parameter family of quons which continuously interpolate between the Bosonic and Fermionic statistics.