  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.
