  Coupling Majorana qubits with other qubits is an absolute essential in
storing, manipulating and transferring informations for topological quantum
computing. We theoretically propose a manner to coupling Majorana qubits with
solitons, another kind of topological impurities, which was first studied in
the spinless Su-Schrieffer-Heeger (SSH) model. We presents a NOT operation on
the Majorana qubit with moving the complementary soliton through
heterostructure adiabatically. Based on these two topological impurities, the
operation is robust against local disorder. Furthermore, we find that the
soliton may carry decimal electric charge instead of fractional charge $1/2$,
because of the breaking of gauge invariance induced by superconducting
proximity.
