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 …

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 Tensor networks provide a natural framework for exploring holographic duality
because they obey entanglement area laws. They have been used to construct explicit toy …

We examine how to construct a spatial manifold and its geometry from the entanglement
structure of an abstract quantum state in Hilbert space. Given a decomposition of Hilbert …

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 The reflected entropy SR (A: B) of a density matrix ρ AB is a bipartite correlation
measure lower-bounded by the quantum mutual information I (A: B). In holographic states …

Abstract The Ryu-Takayanagi (RT) formula relates the entanglement entropy of a region in a
holographic theory to the area of a corresponding bulk minimal surface. Using the max flow …

A bstract We present a general procedure for constructing tensor networks that accurately
reproduce holographic states in conformal field theories (CFTs). Given a state in a large-N …