  Loop quantum cosmology (LQC) predicts a nonsingular evolution of the universe
through a bounce in the high energy region. We show that this is always true in
tachyon matter LQC. Different from the classical Friedman-Robertson-Walker
(FRW) cosmology, the super inflation can appear in the tachyon matter LQC;
furthermore, the inflation can be extended to the region where classical
inflation stops. Using numerical method, we give an evolution picture of the
tachyon field with an exponential potential in the context of LQC. It indicates
that the quantum dynamical solutions have the attractive behavior as the
classical solutions do. The whole evolution of the tachyon field is that in the
distant past, the tachyon field--being in the contracting cosmology--is
accelerates to climb up the potential hill with a negative velocity; then at
the boundary the tachyon field is bounced into an expanding universe with
positive velocity rolling down to the bottom of the potential. In the slow roll
limit, we compare the quantum inflation with the classical case in both an
analytic and numerical way.
