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 …

This article reviews the progress in our understanding of the reconstruction of the bulk
spacetime in the holographic correspondence from the dual field theory including an …

A bstract We study holographic entropy inequalities and their structural properties by making
use of a judicious grouping of terms into certain multipartite information quantities. This …

A bstract Quantum corrections to holographic entanglement entropy require knowledge of
the bulk quantum state. In this paper, we derive a novel dual prescription for the generalized …

A bstract The focusing theorem fails for evaporating black holes because the null energy
condition is violated by quantum effects. The quantum focusing conjecture is proposed so …

We prove two new infinite families of holographic entropy inequalities. A key tool is a
graphical arrangement of terms of inequalities that is based on entanglement wedge …

The holographic entropy cone (HEC) characterizes the entanglement structure of quantum
states which admit geometric bulk duals in holography. Due to its intrinsic complexity, to date …

A bstract We address the question of whether holographic entropy inequalities obeyed in
static states (by the RT formula) are always obeyed in time-dependent states (by the HRT …

A bstract In holographic duality, boundary states that have semiclassical bulk duals must
obey inequalities, which bound their subsystems' von Neumann entropies. Hitherto known …

A bstract Recently, it was proposed that there must be either large violation of the additivity
conjecture or a set of disentangled states of the black hole in the AdS/CFT correspondence …