We propose and theoretically analyze a new scheme for generating
hyper-entangled photon pairs in a system of polaritons in coupled planar
microcavities. Starting from a microscopic model, we evaluate the relevant
parametric scattering processes and numerically simulate the phonon-induced
noise background under continuous-wave excitation. Our results show that,
compared to other polariton entanglement proposals, our scheme enables the
generation of photon pairs that are entangled in both path and polarization
degrees of freedom, and simultaneously leads to a strong reduction of the
photoluminesence noise background. This can significantly improve the fidelity
of the entangled photon pairs under realistic experimental conditions.Comment: Main paper + Supplementary Materia