Transport based models are widely used to describe the evolution of hard probes in the quark gluon plasma. However, so far such descriptions are strictly only valid in the limit where the medium is assumed to be homogeneous in the transverse direction to the propagation. In this talk, I will discuss how to generalize parton transport to include medium anisotropies. I will show that the resulting evolution laws include quantum corrections to the usual Boltzmann transport. Finally, I will show that such terms lead to power corrections to the jet quenching parameter.