Relative entropy equals bulk relative entropy
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Publication:1638744
DOI10.1007/JHEP06(2016)004zbMATH Open1388.83268arXiv1512.06431MaRDI QIDQ1638744
Author name not available (Why is that?)
Publication date: 12 June 2018
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1512.06431
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