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 http://arxiv.org/abs/1601.05416 and some similarities and differences with this work

13 pages, 1 figure

References in corpus (5)

• Relative entropy equals bulk relative entropy
• Holographic representation of local bulk operators
• Three-Dimensional Gravity Revisited
• Causality & holographic entanglement entropy
• Bidirectional holographic codes and sub-AdS locality

Cited by in corpus (5)

• Holographic tensor network models and quantum error correction: A topical review
• Precursors, Gauge Invariance, and Quantum Error Correction in AdS/CFT
• Holographic Codes from Hyperinvariant Tensor Networks
• Explicit reconstruction of the entanglement wedge
• Bulk Locality and Entanglement Swapping in AdS/CFT