  We provide a rigorous and transparent explanation for the puzzling
theoretical findings of a quantized superfluid stiffness of superconducting
graphene in the Dirac regime. We prove that the contribution of a single Dirac
cone to the superfluid stiffness is proportional to its topological charge, and
can be controlled in experiments using a Zeeman field. Further, we show that
the quantization persists upon effecting strain and is resilient against weak
disorder. By employing an adiabatic approach for superfluid responses, we unify
the superfluid stiffness and quantum capacitance in Dirac superconductors.
Based on this unified picture we predict a topological quantum capacitance for
a Josephson junction consisting of a strained graphene hybrid and a
conventional superconductor.
