Engineering of Hong-Ou-Mandel interference with effective noise

The Hong-Ou-Mandel effect lies at the heart of quantum interferometry, having multiple applications in field information processing and no classical counterpart. Despite its popularity, only a few works have considered polarization-frequency interaction within interferometer. In this paper, we fill gap. Our system interest is general biphoton polarization state that experiences effective dephasing noise by becoming entangled with same photons' frequency state, as photons propagate through birefringent media. then meet beam splitter, where either coincidence or bunching occurs, after which continues on output paths. Along performing extensive theoretical analysis probability different states, outline interesting range from constructing Bell states to an alternative delayed choice eraser.