Correlations vs connectivity in R-charge

TL;DR

This paper investigates the relationship between quantum correlations and spacetime connectivity in R-charged AdS$_5$ black holes, revealing how quantum entanglement relates to wormhole structures and teleportation in holography.

Contribution

It introduces a detailed analysis of quantum correlations and connectivity in R-charged black holes, including the BPS limit and quantum teleportation protocols.

Findings

Quantum correlations correspond to spacetime connectivity in R-charged black holes.

The wormhole reduces to a quantum correlation in the BPS limit.

Quantum teleportation between labs on a sphere demonstrates entanglement-mediated communication.

Abstract

The holographic relation between quantum correlations and connectivity of spacetime is explored for single R-charged AdS$_5$ black holes and their half-BPS limits (superstars). In a two boundary set-up, the wormhole between both universes reduces to a designable and computable quantum mechanical correlation between the dual microscopic degrees of freedom in the BPS limit. This quantum connectivity is seen as a naked singularity by a single sided observer. In a single boundary set-up, as a small step towards the description of entangled black holes, we describe quantum teleportation between two labs in different locations of the transverse 5-sphere using entangled gravitons in a reference state that provides a classical channel between both labs.