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Nonperturbative gravity corrections to bulk reconstruction

Gesteau, Elliott and Kang, Monica Jinwoo (2021) Nonperturbative gravity corrections to bulk reconstruction. . (Unpublished)

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We introduce a new algebraic framework for understanding nonperturbative gravitational aspects of bulk reconstruction with a finite or infinite-dimensional boundary Hilbert space. We use relative entropy equivalence between bulk and boundary with an inclusion of nonperturbative gravitational errors, which give rise to approximate recovery. We utilize the privacy/correctability correspondence to prove that the reconstruction wedge, the intersection of all entanglement wedges in pure and mixed states, manifestly satisfies bulk reconstruction. We explicitly demonstrate that local operators in the reconstruction wedge of a given boundary region can be recovered in a state-independent way for arbitrarily large code subspaces, up to nonperturbative errors in G_N. We further discuss state-dependent recovery beyond the reconstruction wedge and the use of the twirled Petz map as a universal recovery channel. We discuss our setup in the context of quantum islands and the information paradox.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Kang, Monica Jinwoo0000-0002-0454-2064
Additional Information:The authors are grateful to Juan Felipe Ariza Mejia, Daniel Harlow, Matilde Marcolli, and Vern Paulsen for discussions. M.J.K. is supported by a Sherman Fairchild Postdoctoral Fellowship, the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under award number DE-SC0011632, and the National Research Foundation of Korea (NRF) grants NRF-2020R1C1C1007591 and NRF-2020R1A4A3079707. E.G. would like to thank Matilde Marcolli for her guidance and constant support
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
National Research Foundation of KoreaNRF-2020R1C1C1007591
National Research Foundation of KoreaNRF-2020R1A4A3079707
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Record Number:CaltechAUTHORS:20220108-210110669
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112804
Deposited By: Joy Painter
Deposited On:09 Jan 2022 21:04
Last Modified:09 Jan 2022 21:04

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