  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.
