  We present a biequivariant version of Kremnizer-Tanisaki localization theorem
for quantum D-modules. We also obtain an equivalence between a category of
finitely generated equivariant modules over a quantum group and a category of
finitely generated modules over a q-W algebra defined in arXiv:1011.2431. This
equivalence can be regarded as an equivariant quantum group version of Skryabin
equivalence. The biequivariant localization theorem for quantum D-modules
together with the equivariant quantum group version of Skryabin equivalence
yield an equivalence between a certain category of quantum biequivariant
D-modules and a category of finitely generated modules over a q-W algebra.
