A Toy Model of the Information Paradox in Empty Space

TL;DR

This paper constructs a simplified model in empty space showing how quantum gravity can subtly violate locality, challenging the assumption that entanglement monogamy always holds in such contexts.

Contribution

It introduces a toy model demonstrating a potential violation of locality and entanglement monogamy in quantum gravity, providing insights into the information paradox.

Findings

Bell correlations can be violated by an order-1 factor in gravitational theories.

The apparent violation of entanglement monogamy may stem from locality issues.

The model offers a new perspective on the black hole information paradox.

Abstract

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