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Over the past century, a large community within theoretical physics has beenseeking a unified framework for quantum gravity. Yet, to date, there is stillno experimental evidence of any non-classical features of gravity. Whiletraditional experimental proposals would usually require immensely challengingPlanck scale experiments, recent table-top protocols based on low-energyquantum control have opened a new avenue into the investigation ofnon-classical gravity. An approach that has sparked high interest, both interms of experimental feasibility and of theoretical implications, is theindirect witnessing of non-classical gravity through the detection of itscapacity to act as an entangling channel. Most discussions have been centred onthe entanglement generation between two gravitationally coupled massivesystems. In this work, we instead examine the entangling capacity of thegravitational interaction between two light pulses, we explain the mainexperimental and theoretical advantages of having a photonic protocol, and layout the steps leading to the determination of the entangling phase, using thepath integral formalism and linearised gravity. We establish a closed formformula for the entangling phase and provide an estimated order of magnitude ofthe average photon number required for the generation of appreciable phase.

Gravity mediated entanglement between light beams as a table-top test of quantum gravity