  We study the impurity pinning of the Quantum Hall (QH) smectic state arising
in two dimensional electron systems in high Landau levels. We use replicas and
a Gaussian Variational method to deal with the disorder. The pinned quantum
smectic exhibits very anisotropic behaviour, with density correlations along
the direction of the stripes manifesting a Bragg-Glass type behaviour i.e.,
quasi long range order whereas those in the transverse direction are infra red
divergent. We calculate the dynamical conductivity along the stripe direction
and find a wavelength dependent pinning peak.
