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  "slug": "entanglement-wedge-reconstruction-beyond-the-large-n-limit-via-the-twirled-petz-",
  "title": "Entanglement Wedge Reconstruction Beyond the Large N Limit via the Twirled Petz Map",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Entanglement wedge reconstruction (EWR) furnishes the most precise holographic statement of bulk locality: the bulk region bounded by the quantum extremal surface is recoverable from a chosen boundary subregion. At leading order in the large‑N expansion this statement is underpinned by modular flow and the ordinary Petz recovery channel, yet a systematic treatment of sub‑leading 1/N effects has remained elusive. In this work we embed EWR within the framework of quantum error correction (QEC) and employ the twirled Petz map—the optimal universal recovery channel—to generate explicit 1/N corrections. Starting from the standard Petz reconstruction we derive a bi‑local correction term governed by a subleading Petz kernel. [...]",
  "abstract_markdown": "Entanglement wedge reconstruction (EWR) furnishes the most precise holographic statement of bulk locality: the bulk region bounded by the quantum extremal surface is recoverable from a chosen boundary subregion. At leading order in the large‑\\(N\\) expansion this statement is underpinned by modular flow and the ordinary Petz recovery channel, yet a systematic treatment of sub‑leading \\(1/N\\) effects has remained elusive. In this work we embed EWR within the framework of quantum error correction (QEC) and employ the twirled Petz map—the optimal universal recovery channel—to generate explicit \\(1/N\\) corrections. Starting from the standard Petz reconstruction we derive a bi‑local correction term governed by a subleading Petz kernel. [...]",
  "date": "2026-10-09",
  "first_published": "2026-10-09",
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  "url": "https://papers.qnfo.org/papers/entanglement-wedge-reconstruction-beyond-the-large-n-limit-via-the-twirled-petz-",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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        "title": "Entanglement Wedge Reconstruction Beyond the Large N Limit via the Twirled Petz Map"
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        "description": "Entanglement wedge reconstruction (EWR) furnishes the most precise holographic statement of bulk locality: the bulk region bounded by the quantum extremal surface is recoverable from a chosen boundary subregion. At leading order in the large‑N expansion this statement is underpinned by modular flow and the ordinary Petz recovery channel, yet a systematic treatment of sub‑leading 1/N effects has remained elusive. In this work we embed EWR within the framework of quantum error correction (QEC) and employ the twirled Petz map—the optimal universal recovery channel—to generate explicit 1/N corrections. Starting from the standard Petz reconstruction we derive a bi‑local correction term governed by a subleading Petz kernel. [...]",
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