**abstract:**
Transport properties play a crucial role in several fields of science, as biology, chemistry,
sociology, information science, and physics. The behavior of many dynamical processes
running over complex networks is known to be closely related to the geometry of the
underlying topology that can be described by the spectral properties of such graphs, i.e. the
spectrum of the so-called adjacency matrices defining these structures. Here, we generalize
this connection to the quantum version of such dynamics processes over large complex
networks. In particular, we investigate the relation between static measures of geometrical
properties of complex graphs (as shortest path length, graph diameter, etc.) and the
(dynamical) capability to quickly and robustly transmit energy (or information) from two
distant points, remarkably assisted by external noise and quantum features as coherence,
by means of quantum stochastic random walk formalism. Hence, the interplay among
geometry, coherence and noise is studied in terms of transport efficiency and relative
robustness. These results might pave the way for designing optimal bio-inspired geometries of
efficient transport nanostructures that can be used for solar energy and also quantum
information and communication technologies.

Thu 14 Nov, 15:30 - 16:00, Sala Stemmi

<< Go back