We review recent progress on the information paradox. We explain why exponentially small
correlations in the radiation emitted by a black hole are sufficient to resolve the original …

These lectures give an introduction to the quantum physics of black holes, including recent
developments based on quantum information theory such as the firewall paradox and its …

A bstract In ordinary gravitational theories, any local bulk operator in an entanglement
wedge is accompanied by a long-range gravitational dressing that extends to the asymptotic …

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

A bstract Quantum error correction has given us a natural language for the emergence of
spacetime, but the black hole interior poses a challenge for this framework: at late times the …

We construct an infinite family of microstates with geometric interiors for eternal black holes
in general relativity with a negative cosmological constant in any dimension. Wormholes in …

We study various aspects of wormholes that are made traversable by an interaction beween
the two asymptotic boundaries. We concentrate on the case of nearly‐gravity and discuss a …

A bstract We point out a connection between the emergence of bulk locality in AdS/CFT and
the theory of quantum error correction. Bulk notions such as Bogoliubov transformations …

In this Letter we prove a simple theorem in quantum information theory, which implies that
bulk operators in the anti–de Sitter/conformal field theory (AdS/CFT) correspondence can be …

A bstract We propose that holographic entanglement entropy can be calculated at arbitrary
orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a …