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

In this paper, we review recent progress on the holographic understanding of the
entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) …

With an aim towards understanding the time-dependence of entanglement entropy in
generic quantum field theories, we propose a covariant generalization of the holographic …

A bstract Relative entropy between two states in the same Hilbert space is a fundamental
statistical measure of the distance between these states. Relative entropy is always positive …

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 …

We investigate the entanglement entropy in gravity duals of confining large Nc gauge
theories using the proposal of [S. Ryu, T. Takayanagi, Phys. Rev. Lett. 96 (2006) 181602 …

A bstract We introduce a “renormalized entanglement entropy” which is intrinsically UV finite
and is most sensitive to the degrees of freedom at the scale of the size R of the entangled …

We consider entanglement entropy between regions of space in lattice gauge theory. The
Hilbert space corresponding to a region of space includes “edge states” that transform …

We argue that the entanglement entropy for a very small subsystem obeys a property which
is analogous to the first law of thermodynamics when we excite the system. In relativistic …

A bstract The volume of the region inside the bulk Ryu-Takayanagi surface is a codimension-
one object, and a natural generalization of holographic complexity to the case of subregions …