  We investigate a heterostructure system with a spin-orbit coupled
semiconductor sandwiched by an s-wave superconductor and a ferromagnetic
insulator, which supports Majorana fermions (MFs) at the superconducting vortex
cores. We propose a scheme of transporting and braiding the MFs, which only
requires application of point-like gate voltages in a system with nano-meter
patterns. By solving the time-dependent Bogoliubov-de Gennes equation
numerically, we monitor the time evolutions of MF wave-functions and show that
the braiding of MFs with non-Abelian statistics can be achieved by adiabatic
switching within several nano seconds.
