Year: 2020
Type: article
Abstract: A bstract We formulate a quantum generalization of maximin surfaces and show that a quantum maximin surface is identical to the minimal quantum extremal surface, introduced in the EW prescription. We discuss various subtleties and complications associated to a maximinimization of the bulk von Neumann entropy due to corners and unboundedness and present arguments that nonetheless a maximinimization of the UV-finite generalized entropy should be well-defined. We give the first general proof that the EW prescription satisfies entanglement wedge nesting and the strong subadditivity inequality. In addition, we apply the quantum maximin technology to prove that recently proposed generalizations of the EW prescription to nonholographic subsystems (including the so-called “quantum extremal islands”) also satisfy entanglement wedge nesting and strong subadditivity. Our results hold in the regime where backreaction of bulk quantum fields can be treated perturbatively in G N ħ , but we emphasize that they are valid even when gradients of the bulk entropy are of the same order as variations in the area, a regime recently investigated in new models of black hole evaporation in AdS/CFT.
Source: Journal of High Energy Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G1286236842, G1523888516, G1863003419, G2239261210, G230078430, Particles and Strings in the Gravitating and Evolving Universe, Graduate Research Fellowship Program (GRFP), G3083819904, G3310577945, G3392305090, G3616359867, G419881185, G42916606, G4501827968, G498139845, G512830357, G543303420, Theoretical Physics, THE GEOMETRY AND FLOW OF QUANTUM INFORMATION: FROM QUANTUM GRAVITY TO QUANTUM TECHNOLOGY, G6652958823, G759921648, ALGEBRAIC APPROACH TOWARD QUANTUM INFORMATION IN QUANTUM FIELD THEORY AND HOLOGRAPHY, THE BLACK HOLE INTERIOR IN ADS/CFT AND BEYOND, THE BLACK HOLE INTERIOR IN ADS/CFT AND BEYOND, THE GEOMETRY AND FLOW OF QUANTUM INFORMATION: FROM QUANTUM GRAVITY TO QUANTUM TECHNOLOGY, G969889393
OpenAlex ID: W2994399582