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Explicit reconstruction of the entanglement wedge via the Petz map (2210.00602v2)

Published 2 Oct 2022 in hep-th, gr-qc, and quant-ph

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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