# 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…

## 424 Citations

BCFT entanglement entropy at large central charge and the black hole interior

- Physics
- 2020

In this note, we consider entanglement and Renyi entropies for spatial subsystems of a boundary conformal field theory (BCFT) or of a CFT in a state constructed using a Euclidean BCFT path integral.…

Entanglement island, miracle operators and the firewall

- Computer ScienceJournal of High Energy Physics
- 2022

The implication of miracle operators in understanding the firewall paradox is studied, and it is shown that the assumption of smooth replica AdS geometry with boundary condition set by the flat space bath has to break down when the particular measurement operator is applied to the bath.

Local measures of entanglement in black holes and CFTs

- Physics
- 2022

We study the structure and dynamics of entanglement in CFTs and black holes. We use a local entanglement measure, the entanglement contour, which is a spatial density function for von Neumann entropy…

The entanglement wedge of unknown couplings

- PhysicsJournal of High Energy Physics
- 2022

Abstract
The black hole interior is a mysterious region of spacetime where non-perturbative effects are sometimes important. These non-perturbative effects are believed to be highly…

Local measures of entanglement in black holes and CFTs

- PhysicsSciPost Physics
- 2022

We study the structure and dynamics of entanglement in CFTs and black
holes. We use a local entanglement measure, the entanglement contour,
which is a spatial density function for von Neumann entropy…

Entanglement phase structure of a holographic BCFT in a black hole background

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We compute holographic entanglement entropy for subregions of a BCFT thermal state living on a nongravitating black hole background. The system we consider is doubly holographic and dual to…

Local quenches, bulk entanglement entropy and a unitary Page curve

- PhysicsJournal of High Energy Physics
- 2020

Abstract
Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We…

Probing phase transitions of holographic entanglement entropy with fixed area states

- PhysicsJournal of High Energy Physics
- 2020

Abstract
Recent results suggest that new corrections to holographic entanglement entropy should arise near phase transitions of the associated Ryu-Takayanagi (RT) surface. We study such corrections…

Local measures of entanglement structure and dynamics in CFTs and black holes

- Physics
- 2021

We study the structure and dynamics of entanglement in CFTs and black holes. We use a local entanglement measure, the entanglement contour, which is a spatial density function for von Neumann entropy…

Unitarity of entanglement and islands in two-sided Janus black holes

- Physics
- 2020

We explore the entanglement evolution of boundary intervals in eternal Janus black holes that can be embedded consistently into string theory in the low-energy limit. By studying the geodesics we…

## References

SHOWING 1-10 OF 108 REFERENCES

Entanglement wedge reconstruction using the Petz map

- PhysicsJournal 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

- PhysicsPhysical 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

- PhysicsJournal 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

- Physics
- 2018

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

- Physics
- 2012

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

- PhysicsJournal 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…