  Majorana zero modes (MZMs) are exotic excitations (in condensed matter
systems) that have potential applications in topological quantum computation.
Though MZMs have been predicted on many platforms, their existence of them is
still under debate. In this paper, we review the recent progress of engineering
and detecting MZMs in semiconductor-superconductor heterostructures. We also
briefly review the protocols of implementing topological quantum computation by
hybrid semiconductor-superconductor nanowires.
