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arXiv · 2210.00602

Explicit reconstruction of the entanglement wedge via the Petz map

Eyoab Bahiru·Niloofar Vardian
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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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Eyoab Bahiru, Niloofar Vardian. 2022-10-02. Explicit reconstruction of the entanglement wedge via the Petz map. https://doi.org/10.1007/jhep07(2023)025

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