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 …

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 We consider quantum algebras of observables associated with subregions in
theories of Einstein gravity coupled to matter in the GN→ 0 limit. When the subregion is …

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 …

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 In this note we study the 1+ 1 dimensional Jackiw-Teitelboim gravity in Lorentzian
signature, explicitly constructing the gauge-invariant classical phase space and the quantum …

The discussions in § 2 and § 3 make it rather clear that while we have to evaluate a
sequence of functional integrals to compute the Rényi entropies, these are rather complex …

A bstract We study the reconstruction of bulk operators in the entanglement wedge in terms
of low energy operators localized in the respective boundary region. To leading order in N …

A succinct summary is given of the problem of reconciling observation of black hole-like
objects with quantum mechanics. If quantum black holes behave like subsystems, and also …