One-shot holography
Chris Akers, Adam Levine, Geoff Penington, Elizabeth Wildenhain
SciPost Phys. 16, 144 (2024) · published 4 June 2024
- doi: 10.21468/SciPostPhys.16.6.144
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Abstract
Following the work of [J. High Energy Phys. 04, 062 (2021)], 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.
Cited by 5
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Chris Akers,
- 1 2 Adam Levine,
- 2 3 Geoff Penington,
- 3 Elizabeth Wildenhain
- 1 Massachusetts Institute of Technology [MIT]
- 2 Institute for Advanced Study [IAS]
- 3 University of California, Berkeley [UCBL]