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 …

For quantum phases of Hamiltonian ground states, the energy gap plays a central role in
ensuring the stability of the phase as long as the gap remains finite. We propose Markov …

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 …

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 …

Symmetry in mixed quantum states can manifest in two distinct forms: strong symmetry,
where each individual pure state in the quantum ensemble is symmetric with the same …

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 …

Bayes' rule, P (B| A) P (A)= P (A| B) P (B), is one of the simplest yet most profound,
ubiquitous, and far-reaching results of classical probability theory, with applications in any …