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One-shot holography

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arxiv 2307.13032 v2 pith:JNFI2K64 submitted 2023-07-24 hep-th gr-qcquant-ph

Chris Akers , Adam Levine , Geoff Penington , Elizabeth Wildenhain This is my paper · ORCID
classification hep-thgr-qcquant-ph
keywords conjectureone-shotquantumregionwedgebulkcovariantdefine
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abstract

Following the work of [2008.03319], we define a generally covariant max-entanglement wedge of a boundary region $B$, which we conjecture to be the bulk region reconstructible from $B$. We similarly define a covariant min-entanglement wedge, which we conjecture to be the bulk region that can influence the state on $B$. We prove that the min- and max-entanglement wedges obey various properties necessary for this conjecture, such as nesting, inclusion of the causal wedge, and a reduction to the usual quantum extremal surface prescription in the appropriate special cases. These proofs rely on one-shot versions of the (restricted) quantum focusing conjecture (QFC) that we conjecture to hold. We argue that these QFCs imply a one-shot generalized second law (GSL) and quantum Bousso bound. Moreover, in a particular semiclassical limit we prove this one-shot GSL directly using algebraic techniques. Finally, in order to derive our results, we extend both the frameworks of one-shot quantum Shannon theory and state-specific reconstruction to finite-dimensional von Neumann algebras, allowing nontrivial centers.

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Cited by 6 Pith papers

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

  1. Fundamental Complement of a Gravitating Region

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  3. The algebraic structure of gravitational scrambling

    hep-th 2025-08 conditional novelty 7.0 of 10

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  4. Hollow-grams: Generalized Entanglement Wedges from the Gravitational Path Integral

    hep-th 2025-06 conditional novelty 7.0 of 10

    The entropy of a bulk region in holographic states equals the generalized entropy of the smallest wedge containing it, derived from a replica path integral via a hollow-graphic construction.

  5. Combinatorial aspects of holographic quantum secret sharing

    hep-th 2026-07 conditional novelty 6.0 of 10

    Bulk regions in AdS3/CFT2 get a holographic secret-sharing distance d and thresholds (r,s), with r = n - d + 1; pure states satisfy s = d - 1 while mixed states can satisfy s >= d.

  6. Tests of restricted Quantum Focusing and a new CFT bound

    hep-th 2025-10 conditional novelty 6.0 of 10

    From rQFC, a new CFT bound follows that forbids the QNEC from saturating faster than O(Σ^{d−2}) in near-vacuum states, while rQFC is proven in JT gravity and explicit QFC counterexamples are constructed.

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