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Explicit reconstruction of the entanglement wedge via the Petz map

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arxiv 2210.00602 v2 pith:3IQIJAZP submitted 2022-10-02 hep-th gr-qcquant-ph

Eyoab Bahiru , Niloofar Vardian This is my paper · ORCID
classification hep-thgr-qcquant-ph
keywords boundaryentanglementpetzreconstructionwedgeads-rindlerbulkcase
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Mechanism behind the Information Encoding for Islands

    hep-th 2025-02 conditional novelty 6.0 of 10

    Island information is encoded in the bath because island operators are gravitationally dressed to the bath via the massive-graviton Stückelberg field, realized as Wilson lines in the Karch-Randall braneworld.

  2. Generalized Krylov Complexity

    hep-th 2025-07 conditional novelty 5.0 of 10

    The paper defines generalized Krylov complexity for multi-generator unitary evolutions, computes it for U(1)xU(1), a U(1)xU(1) subgroup of SO(10), and SU(2), and introduces a weighted version.

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