Andreas Buchleitner — Universität Freiburg # Transport on network-like structures: from light harvesting to boson sampling # Quantum transport of excitations or particles across network like structures provides a general framework for a broad class of problems in complex quantum dynamics - from photonic circuitry to photosynthetic light harvesting. Furthermore, advanced experimental control of network structure and particle number allows to think anew about fundamental and non-trivial issues in many particle quantum dynamics. For example, what distinguishes quantum statistical from bona fide many particle interference effects? How can we unambiguously characterize the many particle wave function in a many particle quantum walk, in a statistically robust and computationally tractable manner? How do symmetries and disorder affect characteristic transport properties? The talk will present selected examples of recently debated, complex quantum transport phenomena on network-like structures, and elaborate on the basic principles which determine the rather rich phenomenology.