Explicit reconstruction of the entanglement wedge via the Petz map
Eyoab Bahiru, Niloofar Vardian
TL;DR
This paper demonstrates that the Petz map can explicitly reconstruct the entanglement wedge in AdS/CFT, reproducing known bulk reconstructions and extending them to generic boundary subregions using modular flow properties.
Contribution
It shows that the Petz recovery channel can explicitly reconstruct the entanglement wedge in AdS/CFT, connecting boundary and bulk operators.
Findings
Petz map reproduces AdS-Rindler HKLL reconstruction for spherical regions.
The same boundary representation is obtained for generic subregions.
The approach links entanglement wedge reconstruction with quantum information theory.
Abstract
We revisit entanglement wedge reconstruction in AdS/CFT using the Petz recovery channel. In the case of a spherical region on the boundary, we show that the Petz map reproduces the AdS-Rindler HKLL reconstruction. Moreover, for a generic subregion of the boundary, we could obtain the same boundary representation of a local bulk field lies in the entanglement wedge as the one proposed earlier in [1, 2] using properties of the modular flow.
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Taxonomy
TopicsBlack Holes and Theoretical Physics