  We are concerned with the sharp interface limit for the Beris-Edward system
in a bounded domain $\Omega \subset \mathbb{R}^3$ in this paper. The system can
be described as the incompressible Navier-Stokes equations coupled with an
evolution equation for the Q-tensor. We prove that the solutions to the
Beris-Edward system converge to the corresponding solutions of a sharp
interface model under well-prepared initial data, as the thickness of the
diffuse interfacial zone tends to zero. Moreover, we give not only the spatial
decay estimates of the velocity vector field in the $H^1$ sense but also the
error estimates of the phase field. The analysis relies on the relative entropy
method and elaborated energy estimates.
