Bounds on quantum communication via Newtonian gravity

Abstract

Newtonian gravity yields specific observable consequences, the most striking of which is the emergence of a $1/r^2$ force. In so far as communication can arise via such interactions between distant particles, we can ask what would be expected for a theory of gravity that only allows classical communication. Many heuristic suggestions for gravity-induced decoherence have this restriction implicitly or explicitly in their construction. Here we show that communication via a $1/r^2$ force has a minimum noise induced in the system when the communication cannot convey quantum information, in a continuous time analogue to Bell's inequalities. Our derived noise bounds provide tight constraints from current experimental results on any theory of gravity that does not allow quantum communication.

13 pages, 1 figure

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• On GKLS dynamics for local operations and classical communication
• Interpolated Collision Model Formalism
• An experimental Scheme for Gravitational Scattering in Microscale: The effect of spatial superposition of mass on the microstructure of space-time
• Probing the Quantum Nature of Gravity in the Microgravity of Space