title: Generalized Open Quantum Walks on Apollonian Networks.
abstract: 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.
authors.affiliation: Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland.
authors.forename: Łukasz
authors.initials: Ł
authors.lastname: Pawela
authors.affiliation: Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland.
authors.forename: Piotr
authors.initials: P
authors.lastname: Gawron
authors.affiliation: Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland.
authors.forename: Jarosław Adam
authors.initials: JA
authors.lastname: Miszczak
authors.affiliation: Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland.
authors.forename: Przemysław
authors.initials: P
authors.lastname: Sadowski
mesh_terms: D003196:Computer Graphics; D008962:Models, Theoretical; D011789:Quantum Theory; D013269:Stochastic Processes; D013997:Time Factors