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We investigate the viscous model of quantum hydrodynamics in one and higher space di-mensions. Exploiting the entropy dissipation method, we prove the exponential stability of the thermal equilibrium state in 1,2, and 3 dimensions, provided that the domain is a box. Further, we show the local in time existence of a solution in the one dimensional case; and in the case of higher dimensions under the assumption of periodic boundary conditions. Finally, we discuss the semiclassical limit