  An important route of engineering topological states and excitations is to
combine superconductors (SC) with the quantum Hall (QH) effect, and over the
past decade, significant progress has been made in this direction. While
typical measurements of these states focus on electronic properties, little
attention has been paid to the accompanying thermal responses. Here, we examine
the thermal properties of the interface between a type-II superconducting
electrodes and graphene in the QH regime. We use the thermal noise measurement
to probe the local electron temperature of the biased interface. Surprisingly,
the measured temperature raise indicates that the superconductor provides a
significant thermal conductivity, which is linear in temperature. This suggests
electronic heat transport and may be unexpected, because the number of the
quasiparticles in the superconductor should be exponentially suppressed.
Instead, we attribute the measured electronic heat conductivity to the overlap
of the normal states in the vortex cores.
