A Toy Model of the Information Paradox in Empty Space
arXiv:1809.10154 · doi:10.21468/SciPostPhys.6.6.073
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.
7 pages (v2) minor corrections (v3) textual improvements
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Cited by in corpus (7)
- The Holographic Nature of Null Infinity
- Failure of the split property in gravity and the information paradox
- Holography from the Wheeler-DeWitt equation
- Bell inequalities in 2-2 scattering
- A simple quantum test for smooth horizons
- Holography of information in massive gravity using Dirac brackets
- A monogamy paradox in empty flat space