Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
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TLDR
A simple theorem in quantum information theory is proved, which implies that bulk operators in the anti-de Sitter/conformal field theory (AdS/CFT) correspondence can be reconstructed as CFT operators in a spatial subregion A, provided that they lie in its entanglement wedge.Abstract:
In this Letter we prove a simple theorem in quantum information theory, which implies that bulk operators in the anti-de Sitter/conformal field theory (AdS/CFT) correspondence can be reconstructed as CFT operators in a spatial subregion A, provided that they lie in its entanglement wedge. This is an improvement on existing reconstruction methods, which have at most succeeded in the smaller causal wedge. The proof is a combination of the recent work of Jafferis, Lewkowycz, Maldacena, and Suh on the quantum relative entropy of a CFT subregion with earlier ideas interpreting the correspondence as a quantum error correcting code.read more
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Entanglement Wedge Reconstruction and the Information Paradox
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Replica wormholes and the black hole interior
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References
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Journal ArticleDOI
Decomposition of entanglement entropy in lattice gauge theory
TL;DR: In this paper, entanglement entropy between regions of space in lattice gauge theory has been investigated, and it is shown that the entropy of the edge states is the dominant contribution to the entropy.
Journal ArticleDOI
Constructing local bulk observables in interacting AdS/CFT
TL;DR: In this article, the authors show how to construct these bulk observables by requiring that the bulk operators commute at spacelike separation, which is related to bulk Feynman diagrams.
Journal ArticleDOI
Generalized entropy and higher derivative gravity
TL;DR: In this paper, an extension of the Ryu-Takayanagi prescription for curvature squared theories of gravity in the bulk, and comment on a prescription for more general theories, is presented.
Journal ArticleDOI
Causal holographic information
TL;DR: In this paper, a measure of holographic information based on a causal wedge construction is proposed to quantify the amount of information contained in a given spatial region in field theory, which is an extremal surface on the boundary of the bulk causal wedge.
Journal ArticleDOI
Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
TL;DR: In this paper, the authors revisited the question of reconstructing bulk gauge fields as boundary operators in AdS/CFT, and argued that this leads to a new argument for the "principle of completeness" which states that the charge lattice of a gauge theory coupled to gravity must be fully populated.
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