  We report a numerical study of the vortex system in the two dimensional
II-type superconductors. We have proposed a phenomenological model that takes
into account quantum fluctuations of Abrikosov's vortices. The results of the
quantum Monte-Carlo simulations by the SSE algorithm show that the thermal
fluctuations are dominated by quantum fluctuations at low temperatures. In
particular, we demonstrate the possibility of the quantum melting transition
for vortex system in the temperature region where thermal melting transition is
improbable.
