Entanglement entropy plays a variety of roles in quantum field theory, including the
connections between quantum states and gravitation through the holographic principle. This …

We give a pedagogical review of how concepts from quantum information theory build up
the gravitational side of the anti-de Sitter/conformal field theory correspondence. The review …

A bstract We propose a family of exactly solvable toy models for the AdS/CFT
correspondence based on a novel construction of quantum error-correcting codes with a …

A bstract We study chaos and scrambling in unitary channels by considering their
entanglement properties as states. Using out-of-time-order correlation functions to diagnose …

A bstract In AdS/CFT we consider a class of bulk geometric quantities inside the
entanglement wedge called reflected minimal surfaces. The areas of these surfaces are dual …

The gauge/gravity correspondence discovered two decades ago has had a profound
influence on how the basic laws in physics should be formulated. In spite of the predictive …

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 identify conditions for the entanglement entropy as a function of spatial region
to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove …

The covariant holographic entropy conjecture of AdS/CFT relates the entropy of a boundary
region R to the area of an extremal surface in the bulk spacetime. This extremal surface can …

A bstract Purification is a powerful technique in quantum physics whereby a mixed quantum
state is extended to a pure state on a larger system. This process is not unique, and in …