  In this paper, we numerically study the non-Abelian statistics of the
zero-energy Majorana fermions on the end of Majorana chain and show its
application to quantum computing by mapping it to a spin model with special
symmetry. In particular, by using transverse-field Ising model with Z2
symmetry, we verify the nontrivial non-Abelian statistics of Majorana fermions.
Numerical evidence and comparison in both Majorana-representation and
spin-representation are presented. The degenerate ground states of a symmetry
protected spin chain therefore previde a promising platform for topological
quantum computation.
