Newtonian Gravity Can Produce Quantum Entanglement

Abstract: In this note, we combine the key ingredient for preparing quantum bodies from superposed mass distributions with the post-Newtonian approach to obtain an effective field theory of quantum bodies, thereby addressing the question of whether classical gravity can produce quantum entanglement. In this framework, we find that the effective theory is a two-qubit interaction with a coupling given by the Newtonian nonlocal quadrupole-quadrupole interaction. This non-local coupling produces the entanglement between quantum bodies.