This article reviews the progress in our understanding of the reconstruction of the bulk
spacetime in the holographic correspondence from the dual field theory including an …

In holographic duality an eternal Anti-de Sitter black hole is described by two copies of the
boundary Conformal Field Theory in the thermal field double state. In this paper we provide …

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 …

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 use holography to study sensitive dependence on initial conditions in strongly
coupled field theories. Specifically, we mildly perturb a thermofield double state by adding a …

I argue that a version of the quantum-corrected Ryu–Takayanagi formula holds in any
quantum error-correcting code. I present this result as a series of theorems of increasing …

A bstract We address claimed alternatives to the black hole firewall. We show that
embedding the interior Hilbert space of an old black hole into the Hilbert space of the early …

A bstract We describe the experience of an observer falling into a black hole using the
AdS/CFT correspondence. In order to do this, we reconstruct the local bulk operators …

These lectures review recent developments in our understanding of the emergence of local
bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field …