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Einstein`s equivalence principle states the complete physical equivalence ofa gravitational field and corresponding inertial field in an acceleratedreference frame. However, to what extent the equivalence principle remainsvalid in non-relativistic quantum mechanics is a controversial issue. To avoidviolation of the equivalence principle, Bargmann`s superselection rule forbidsa coherent superposition of states with different masses. Here we suggest aquantum simulation of non-relativistic Schr\"odinger particle dynamics innon-inertial reference frames, which is based on propagation ofpolarization-entangled photon pairs in curved and birefringent opticalwaveguides and Hong-Ou-Mandel quantum interference measurement. The photonicsimulator can emulate superposition of mass states, which would lead toviolation of the EP.

Equivalence principle and quantum mechanics: quantum simulation with entangled photons