Explicit reconstruction of the entanglement wedge via the Petz map

• URL: http://arxiv.org/abs/2210.00602v2
• Date: Wed, 5 Jul 2023 13:11:00 GMT
• Title: Explicit reconstruction of the entanglement wedge via the Petz map
• Authors: Eyoab Bahiru and Niloofar Vardian
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• 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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