In this paper, we compute Gram determinants associated to all cell modules of quantized walled Brauer algebras Br,t(ρ,q) over an arbitrary field κ. Suppose e is the quantum characteristic of q2
Nearby in the stack
. We classify the blocks of
Br,t(ρ,q)
when
e>max{r,t}
and
ρ2=q2n
,
n∈Z
. As an application, we give a criterion for a cell module of