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The quantum gravity-induced entanglement of masses (QGEM) protocol fortesting quantum gravity using entanglement witnessing utilizes the creation ofspatial quantum superpositions of two neutral, massive matter-waveinterferometers kept adjacent to each other, separated by a distance d. Themass and the spatial superposition should be such that the two quantum systemscan entangle solely via the quantum nature of gravity. Despite beingcharge-neutral, there are many electromagnetic backgrounds that can alsoentangle the systems, such as the dipole-dipole interaction, and theCasimir-Polder interaction. To minimize electromagnetic-induced interactionsbetween the masses it is pertinent to isolate the two superpositions by aconducting plate. However, the conducting plate will also exert forces on themasses and hence the trajectories of the two superpositions would be affected.To minimize this effect, we propose to trap the two interferometers such thatthe trapping potential dominates over the attraction between the conductingplate and the matter-wave interferometers. The superpositions can still becreated via the Stern-Gerlach effect in the direction parallel to the plate,where the trapping potential is negligible. The combination of trapping andshielding provides a better parameter space for the parallel configuration ofthe experiment, where the requirement on the size of the spatial superposition,to witness the entanglement between the two masses purely due to their quantumnature of gravity, decreases by at least two orders of magnitude as compared tothe original protocol paper.

Micron-size spatial superpositions for the QGEM-protocol via screening and trapping