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QI: Fachverband Quanteninformation

QI 1: Quantum Foundations

QI 1.10: Talk

Monday, March 18, 2024, 12:15–12:30, HFT-FT 101

Classical phase-space model for gravity-mediated entanglementMarta Marchese, •Martin Plávala, Matthias Kleinmann, and Stefan Nimmrichter — Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Strasse 3, 57068 Siegen, Germany

Whether gravity is fundamentally quantum or not is still a debated question. On one side, there are several well-established quantum-gravity theories, on the other, there are semi-classical descriptions that treat the gravity field as a classical measurement-feedback channel. The lack of experimental evidence leaves the problem still unresolved, but experiments with massive interference particles have been proposed: witnessing entanglement generated by the gravitational interaction between two masses in a matter-wave interferometer is claimed to probe the quantum nature of the gravitational field. Here, we argue that such a scheme is not sufficient to rule out all possible classical descriptions of gravity. Indeed, one can achieve the same entanglement built up through a classical evolution of the Wigner function of the two gravitationally interacting masses, making use of a second-order approximation of the Newtonian potential. This suggests that alternative experimental schemes be developed to test the quantum nature of gravity.

Keywords: gravitationally induced entanglement; quantum gravity; general probabilistic theories

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