  We propose a scheme in semiconducting quantum nanowires structure to
demonstrate the non-Abelian statistics for Majorana fermions in terms of braid
group. The Majorana fermions are localized at the endpoints of semiconducting
wires, which are deposited on an \emph{s}-wave superconductor. The non-Abelian
nature of Majorana fermion is manifested by the fact that the output of the
different applied orders of two operations, constructed by the braid group
elements, are different. In particular, the difference can be unambiguously
imprinted on the quantum states of a superconducting flux qubit.
