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One-shot holography
by Chris Akers, Adam Levine, Geoff Penington, Elizabeth Wildenhain
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Christopher Akers |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2307.13032v2 (pdf) |
| Date accepted: | 2024-05-20 |
| Date submitted: | 2024-04-15 22:01 |
| Submitted by: | Akers, Christopher |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Author comments upon resubmission
List of changes
1. We added a sentence explaining the meaning of q \le p above definition 2.14
2. Immediately prior to the definitions in section 3.1, we indicate a section of a reference that contains figures for each definition.
3. We included a footnote in the introduction stating an example of a state in semiclassical gravity where the min- and max-entanglement wedges are not identical and the entanglement wedge is not well-defined.
Published as SciPost Phys. 16, 144 (2024)
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