2016/01/31 by Xi Dong, Daniel Harlow, Aron C. Wall · 3 citations
Physics and Astronomy · #hep-th #gr-qc #quant-ph
paper · pdf · doi:10.1103/physrevlett.117.021601
published as Phys. Rev. Lett. 117, 021601 (2016) · 7 pages, 1 figure; v2: corrected the proof of the reconstruction theorem, added new references, acknowledgements, and minor clarifications; v3: added an appendix and minor clarifications, title changed to match PRL version
arxiv created 2016/07/11 · arxiv updated 2016/07/14
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.