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A sharp version of the information paradox involves a seeming violation ofthe monogamy of entanglement during black hole evaporation. We construct ananalogous paradox in empty anti-de Sitter space. In a local quantum fieldtheory, Bell correlations between operators localized in mutually spacelikeregions are monogamous. We show, through a controlled calculation, that thisproperty can be violated by an order-1 factor in a theory of gravity. Thisexample demonstrates that what appears to be a violation of the monogamy ofentanglement may just be a subtle violation of locality in quantum gravity.

A Toy Model of the Information Paradox in Empty Space