School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540, USA.
Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138, USA.
Phys Rev Lett. 2016 Jul 8;117(2):021601. doi: 10.1103/PhysRevLett.117.021601.
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.
在这封信件中，我们证明了量子信息论中的一个简单定理，该定理表明，在 AdS/CFT 对应中， Bulk 算子可以在其纠缠楔内重建为 A 空间子区域中的 CFT 算子。这是对现有重建方法的改进，现有方法最多只能在更小的因果楔内成功。证明是最近 Jafferis、Lewkowycz、Maldacena 和 Suh 关于 CFT 子区域量子相对熵的工作与早期将对应解释为量子纠错码的思想的结合。
