One-shot holography
Year: 2024
Type: article
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.
Source: SciPost Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G1523888516, Cosmic Censorship from Gauge/Gravity Duality, THEORETICAL HIGH ENERGY PHYSICS, G32078080, Timing of Volcanism Along Two Adjacent Ridge Segments of the East Pacific Rise (15 degrees - 17 degrees N), Theoretical Physics, G4680069798, G535080370, THE GEOMETRY AND FLOW OF QUANTUM INFORMATION: FROM QUANTUM GRAVITY TO QUANTUM TECHNOLOGY, G6794394390, G7395446179
OpenAlex ID: W4399321908