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Entanglement Theory Quantum Correlations Quantum Entropy Information Measures

Relative entropy equals bulk relative entropy

arXiv

Authors: Daniel L. Jafferis, Aitor Lewkowycz, Juan Maldacena, S. Josephine Suh

Year

2015

Paper ID

4516

Status

Preprint

Abstract Read

~2 min

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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.

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We consider the gravity dual of the modular Hamiltonian associated to a general subregion of a boundary theory.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1512.06431 [2] arXiv https://arxiv.org/abs/1512.06431 [3] Publisher https://arxiv.org/abs/1512.06431

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