期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP01(2020)168
关键词
AdS-CFT Correspondence; 1; N Expansion; Nonperturbative Effects
资金
- Physics/Applied Physics/SLAC Summer Research Program for undergraduates at Stanford University
- Simons Foundation It from Qubit collaboration
- AFOSR [FA9550-16-1-0082]
- DOE [DE-SC0019]
- IQIM postdoctoral fellowship at Caltech
- DOE award Quantum Error Correction and Spacetime Geometry [DE-SC0018407]
- Stanford Institute for Theoretical Physics
At the heart of recent progress in AdS/CFT is the question of subregion duality, or entanglement wedge reconstruction: which part(s) of the boundary CFT are dual to a given subregion of the bulk? This question can be answered by appealing to the quantum error correcting properties of holography, and it was recently shown that robust bulk (entanglement wedge) reconstruction can be achieved using a universal recovery channel known as the twirled Petz map. In short, one can use the twirled Petz map to recover bulk data from a subset of the boundary. However, this map involves an averaging procedure over bulk and boundary modular time, and hence it can be somewhat intractable to evaluate in practice. We show that a much simpler channel, the Petz map, is sufficient for entanglement wedge reconstruction for any code space of fixed finite dimension - no twirling is required. Moreover, the error in the reconstruction will always be non-perturbatively small. From a quantum information perspective, we prove a general theorem extending the use of the Petz map as a general-purpose recovery channel to subsystem and operator algebra quantum error correction.
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