Generalized open quantum walks on Apollonian networks
  We introduce the model of generalized open quantum walks on networks using the Transition Operation Matrices formalism. We focus our analysis on the mean first passage time and the average return time in Apollonian networks. These results differ significantly from a classical walk on these networks. We show a comparison of the classical and quantum behaviour of walks on these networks. 
\L. Pawela, P. Gawron, J.A. Miszczak, P. Sadowski
quant-ph