Relative entropy equals bulk relative entropy
High Energy Physics - Theory
2016-06-29 v1 General Relativity and Quantum Cosmology
Quantum Physics
Abstract
We consider the gravity dual of the modular Hamiltonian associated to a general subregion of a boundary theory. We use it to argue that the relative entropy of nearby states is given by the relative entropy in the bulk, to leading order in the bulk gravitational coupling. We also argue that the boundary modular flow is dual to the bulk modular flow in the entanglement wedge, with implications for entanglement wedge reconstruction.
Cite
@article{arxiv.1512.06431,
title = {Relative entropy equals bulk relative entropy},
author = {Daniel L. Jafferis and Aitor Lewkowycz and Juan Maldacena and S. Josephine Suh},
journal= {arXiv preprint arXiv:1512.06431},
year = {2016}
}
Comments
23 pages, 3 figures