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Published June 23, 2016 | Submitted
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Precursor problem and holographic mutual information

Abstract

The recent proposal of Almheiri et al.[http://arxiv.org/abs/1411.7041], together with the Ryu-Takayanagi formula, implies the entanglement wedge hypothesis for certain choices of boundary subregions. This fact is derived in the pure AdS space. A similar conclusion holds in the presence of quantum corrections, but in a more restricted domain of applicability. We also comment on this [http://arxiv.org/abs/1601.05416] and some similarities and differences with this work.

Additional Information

Submitted on 28 Jan 2016. We would like to thank Xi Dong for useful discussions. We thank the Perimeter Institute for hospitality during parts of this project. Ning Bao is supported by the DOE Grant DE-SC0011632 and funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-2644). He is also supported by the Walter Burke Institute of Theoretical Physics. Isaac Kim's research at Perimeter Institute is supported in part by the Government of Canada through NSERC and by the Province of Ontario through MRI.

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Submitted - 1601.07616v3.pdf

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August 20, 2023
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October 19, 2023