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To test the quantum nature of gravity in a lab requires witnessing theentanglement between the two test masses (nano-crystals) solely due to thegravitational interaction kept at a distance in a spatial superposition. Theprotocol is known as the quantum gravity-induced entanglement of masses (QGEM).One of the main backgrounds in the QGEM experiment is electromagnetic (EM)induced entanglement and decoherence. The EM interactions can entangle the twoneutral masses via dipole-dipole vacuum-induced interactions, such as theCasimir-Polder interaction. To mitigate the EM-induced interactions between thetwo nano-crystals, we enclose the two interferometers in a Faraday cage andseparate them by a conducting plate. However, any imperfection on the surfaceof a nano-crystal, such as a permanent dipole moment will also create an EMbackground interacting with the conducting plate in the experimental box. Theseinteractions will further generate EM-induced dephasing which we wish tomitigate. In this paper, we will consider a parallel configuration of the QGEMexperiment, where we will estimate the EM-induced dephasing rate, run-by-runsystematic errors which will induce dephasing, and also provide constraints onthe size of the superposition in a model-independent way of creating thespatial superposition.

Relaxation of experimental parameters in a Quantum-Gravity Induced Entanglement of Masses Protocol using electromagnetic screening