The entanglement entropy is a fundamental quantity, which characterizes the correlations
between sub-systems in a larger quantum-mechanical system. For two sub-systems …

Spacetimes with horizons show a resemblance to thermodynamic systems and it is possible
to associate the notions of temperature and entropy with them. Several aspects of this …

A bstract We propose that holographic entanglement entropy can be calculated at arbitrary
orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a …

The covariant holographic entropy conjecture of AdS/CFT relates the entropy of a boundary
region R to the area of an extremal surface in the bulk spacetime. This extremal surface can …

We propose a universal inequality that unifies the Bousso bound with the classical focusing
theorem. Given a surface σ that need not lie on a horizon, we define a finite generalized …

The fact that one can associate thermodynamic properties with horizons brings together
principles of quantum theory, gravitation and thermodynamics and possibly offers a window …

A link between the semiclassical Einstein equation and a maximal vacuum entanglement
hypothesis is established. The hypothesis asserts that entanglement entropy in small …

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS3
(three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity …

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 …

Two techniques for computing black hole entropy in generally covariant gravity theories
including arbitrary higher derivative interactions are studied. The techniques are Wald's …