Recent progress in studies of holographic dualities, originally motivated by insights from
string theory, has led to a confluence with concepts and techniques from quantum …

The entanglement entropy has been historically studied by many authors in order to obtain
quantum mechanical interpretations of the gravitational entropy. The discovery of anti-de …

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 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 …

A bstract We consider the gravity dual of the modular Hamiltonian associated to a general
subregion of a boundary theory. We use it to argue that the relative entropy of nearby states …

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 …

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 consider classical Euclidean gravity solutions with a boundary. The boundary
contains a non-contractible circle. These solutions can be interpreted as computing the trace …

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 …