Precursor problem and holographic mutual information
Ning Bao, Isaac H. Kim
TL;DR
This paper explores the entanglement wedge hypothesis in holography, analyzing the precursor problem and mutual information, extending results to quantum corrections and comparing with related work.
Contribution
It extends the entanglement wedge hypothesis to quantum-corrected scenarios and discusses its domain of applicability in holographic theories.
Findings
Entanglement wedge hypothesis holds in pure AdS space.
Quantum corrections restrict the applicability of the hypothesis.
Comparison with related work highlights similarities and differences.
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
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Quantum many-body systems