Classical descriptions via Wigner-Weyl can mimic gravitational entanglement features in standard regimes, so distinguishing quantum gravity requires Wigner negativity and Weyl operator negativity witnesses beyond Gaussian and low-order approximations.
Di\’osi- Penrose model of classical gravity predicts grav- itationally induced entanglement
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Gravitational Entanglement in Optomechanics: Distinguishing Classical and Quantum Models
Classical descriptions via Wigner-Weyl can mimic gravitational entanglement features in standard regimes, so distinguishing quantum gravity requires Wigner negativity and Weyl operator negativity witnesses beyond Gaussian and low-order approximations.