  We consider the Quantum Navier-Stokes system in three space dimensions. We
prove compactness of finite energy weak solutions for large initial data. The
main novelties are that vacuum regions are included in the weak formulation and
no extra terms, like damping or cold pressure, are considered in the equations
in order to define the velocity field. Our argument uses an equivalent
formulation of the system in terms of an effective velocity, in order to
eliminate the third order terms in the new system. It allows us to derive
estimates similar to the ones available in the case of the compressible
Navier-Stokes with degenerate viscosity.
