Explicit reconstruction of the entanglement wedge via the Petz map
arXiv:2210.00602 · doi:10.1007/JHEP07(2023)025
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.
arXiv comment39 pages, 2 figures, minor comments are added
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