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arXiv · 2608.12245

A sharp bound on spacetime distance from quantum entanglement

Zhi-Wei Wang·Arshid Shabir·Mir Faizal·Samuel L. Braunstein
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Abstract

Ryu-Takayanagi established how boundary entanglement encodes bulk area. We provide the metric counterpart: boundary mutual information imposes a rigorous lower bound on bulk geodesic separation that diverges logarithmically as correlations vanish. A multiscale iteration promotes this local inequality to a global obstruction to bulk connectivity. For parallel strips in AdS$_5$/CFT$_4$, the bound necessitates a quantum resolution of the classical mutual-information transition and fixes the asymptotic growth of geodesic distance.

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Zhi-Wei Wang, Arshid Shabir, Mir Faizal, Samuel L. Braunstein. 2026-08-12. A sharp bound on spacetime distance from quantum entanglement. https://arxiv.org/abs/2608.12245

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