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 Recent work has shown how to obtain the Page curve of an evaporating black hole
from holographic computations of entanglement entropy. We show how these computations …

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 …

Continuously monitoring the environment of a quantum many-body system reduces the
entropy of (purifies) the reduced density matrix of the system, conditional on the outcomes of …

Finally, here is a modern, self-contained text on quantum information theory suitable for
graduate-level courses. Developing the subject'from the ground up'it covers classical results …

We consider two related tasks:(a) estimating a parameterisation of a given Gibbs state and
expectation values of Lipschitz observables on this state;(b) learning the expectation values …

In the context of quantum theories of spacetime, one overarching question is how quantum
information in the bulk spacetime is encoded holographically in boundary degrees of …

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 …

The aim of this book is to develop" from the ground up" many of the major, exciting, pre-and
post-millenium developments in the general area of study known as quantum Shannon …

A bstract When the bulk geometry in AdS/CFT contains a black hole, boundary subregions
may be sufficient to reconstruct certain bulk operators if and only if the black hole microstate …