Rigorous Numerical Simulation of Gravity-Induced Quantum Entanglement in Macromolecules: Feasibility Analysis of the Bose-Marletto-Vedral (BMV) Protocol
The Bose et al.-Marletto-Vedral (BMV) experiment [S. Bose et al., Phys. Rev. Lett. 119, 240401 (2017); C. Marletto and V. Vedral, Phys. Rev. Lett. 119, 240402 (2017)] aims to prove that spacetime is nonclassical by observing entanglement generated by gravity. However, local hidden variable theories (LHVTs) can simulate the entangled correlations. We propose to extend the entanglement generated by the BMV experiment to distant quantum particles in a Bell experiment. Violating a Bell inequality would rule out LHVTs, providing a stronger proof of the nonclassicality of spacetime than the BMV proposal.
We revisit the Bose-Marletto-Vedral (BMV) tabletop experimental proposal---which aims to witness quantum gravity using gravity-mediated entanglement---analyzing the role of locality in the experiment. We first carry out a fully quantum modeling of the interaction of matter and gravity and then show in what way gravity-mediated entanglement in the BMV experiment could be accounted for without appealing to quantum degrees of freedom of the gravitational field. We discuss what assumptions are needed in order to interpret the current BMV experiment proposals as a proof of quantum gravity, and also identify the modifications that a BMV-like experiment could have in order to serve as proof of quantum gravity without having to assume the existence of local mediators in the gravitational field.
The Bose-Marletto-Vedral (BMV) experiment [S. Bose et al., Phys. Rev. Lett. 119, 240401 (2017); C. Marletto and V. Vedral, Phys. Rev. Lett. 119, 240402 (2017)] aims to demonstrate that spacetime is non-classical by observing entanglement generated by the gravitational field. However, local hidden variable theories can simulate any entangled correlations in any experiment -- such as the BMV proposal -- that does not involve measurements in spacelike separated wings. Here we propose to amplify the entanglement generated by the BMV experiment to distant quantum particles in a Bell experiment involving wings at spacelike separation. A violation of a Bell inequality in our proposed experiment would rule out local hidden variable explanations, providing a stronger proof of the non-classicality of spacetime than the original BMV proposal.