  Majorana-fermionic quantum computation (MFQC) was proposed by Bravyi and
Kitaev (See Ref.\cite{Kitaev}), in which a fault-torrent (non-topological)
quantum computer built from Majorana fermions may be more efficient than that
built from distinguishable two-state systems. However, till now people don't
know how to realize a MFQC in a physical system. In this paper we proposed a
possible realization of MFQC. We find that the end of a line-defect of p-wave
superconductor or superfluid on a honeycomb lattice will trap a Majorana zero
mode, which will become the starting point of MFQC. Then we show how to
manipulate Majorana fermions to do universal MFQC, which possesses unique
possibilities for high-level local controllability, individual addressing, and
readout of the quantum states of individual constituent elements by using
timely cold-atom technology.
