Gravitationally Induced Entanglement Across an Event Horizon

Abstract:It has long been assumed that a particle---having crossed a black hole event horizon unentangled with another particle in the exterior universe---can no longer dynamically entangle with that particle. Here, we demonstrate within a gravitational retarded-potential model that entanglement can in fact be created from scratch between freely falling spatial superpositions across an event horizon. Yet, extracting this state radially requires non-inertial deceleration, triggering soft-graviton bremsstrahlung, and establishing a strict dephasing bound in terms of entangling phase, $\Gamma\ge\frac{729}{160\pi}\Phi$. This decoheres the entangled state. By contrast, equivalent macroscopic optical masses allow local tangential harvesting of entanglement via quantum erasure, thus revealing a remarkable geometric duality: Spacetime irreversibly degrades entanglement the moment the localized mass is dragged away from the horizon, while allowing the transverse teleportation of its entangled state to infinity.

arXiv:2609.04104 [quant-ph]

(or arXiv:2609.04104v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.04104 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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