TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.6.144
TI  - One-shot holography
PY  - 2024/06/04
UR  - https://scipost.org/SciPostPhys.16.6.144
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 6
SP  - 144
A1  - Akers, Chris
AU  - Levine, Adam
AU  - Penington, Geoff
AU  - Wildenhain, Elizabeth
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.6.144,
	title={{One-shot holography}},
	author={Chris Akers and Adam Levine and Geoff Penington and Elizabeth Wildenhain},
	journal={SciPost Phys.},
	volume={16},
	pages={144},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.6.144},
	url={https://scipost.org/10.21468/SciPostPhys.16.6.144},
}