  We investigate high density state of SU(2) QCD by using Lattice QCD
simulation with Wilson fermions. The ratio of fermion determinants is evaluated
at each step of the Metropol is link update by Woodbury formula. At
$\beta=0.7$, and $\kappa = 0.150$, we calculate the baryon number density, the
Polyakov lines, and the energy density of gluon sector with chemical potential
$\mu$=0 to 0.8 on the $4^{3} \times 12$ lattice. Behavior of the meson
propagators and diquark propagators with finite chemical potential are also
investigated.
