# Entanglement wedge reconstruction and the information paradox

@article{Penington2019EntanglementWR,
title={Entanglement wedge reconstruction and the information paradox},
author={Geoffrey Penington},
journal={Journal of High Energy Physics},
year={2019},
volume={2009},
pages={002}
}
When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time $\beta/2\pi \log S_{BH}$ into the past. We can immediately derive the Page curve, using the Ryu-Takayanagi formula, and the Hayden-Preskill decoding criterion, using entanglement…
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## References

SHOWING 1-10 OF 108 REFERENCES
Entanglement wedge reconstruction using the Petz map
• Physics
Journal of High Energy Physics
• 2020
At the heart of recent progress in AdS/CFT is the question of subregion duality, or entanglement wedge reconstruction: which part(s) of the boundary CFT are dual to a given subregion of the bulk?
Black hole entanglement and quantum error correction
• Physics
• 2013
A bstractIt was recently argued in [1] that black hole complementarity strains the basic rules of quantum information theory, such as monogamy of entanglement. Motivated by this argument, we develop
Entanglement Wedge Reconstruction via Universal Recovery Channels
• Physics
Physical Review X
• 2019
In the context of quantum theories of spacetime, one overarching question is how quantum information in the bulk spacetime is encoded holographically in boundary degrees of freedom. It is
Learning the Alpha-bits of black holes
• Physics
Journal of High Energy Physics
• 2019
Abstract When the bulk geometry in AdS/CFT contains a black hole, boundary subregions may be sufficient to reconstruct certain bulk operators if and only if the black hole microstate is known, an
Remarks on the necessity and implications of state-dependence in the black hole interior
• Physics
• 2016
We revisit the state-dependence'' of the map that we proposed recently between bulk operators in the interior of a large anti--de Sitter black hole and operators in the boundary CFT. By refining
Holographic Quantum Error Correction and the Projected Black Hole Interior
The quantum error correction interpretation of AdS/CFT establishes a sense of fluidity to the bulk/boundary dictionary. We show how this property can be utilized to construct a dictionary for
The Transfer of Entanglement: The Case for Firewalls
Black hole complementarity requires that the interior of a black hole be represented by the same degrees of freedom that describe its exterior. Entanglement plays a crucial role in the reconstruction
On the interior geometry of a typical black hole microstate
• Physics
• 2018
A bstractWe argue that the region behind the horizon of a one-sided black hole can be probed by an analogue of the double-trace deformation protocol of Gao-Jafferis-Wall. This is achieved via a
Black hole microstate cosmology
• Physics
Journal of High Energy Physics
• 2019
A bstractIn this note, we explore the possibility that certain high-energy holographic CFT states correspond to black hole microstates with a geometrical behind-the-horizon region, modelled by a
State-Dependent Bulk-Boundary Maps and Black Hole Complementarity
• Physics
• 2014
We provide a simple and explicit construction of local bulk operators that describe the interior of a black hole in the AdS/CFT correspondence. The existence of these operators is predicated on the