This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum
systems. These tools are applied in the contexts of energy transfer in photosynthesis, and boson sampling. In dynamical quantum
systems, complexity typically manifests itself via the interference of a rapidly growing number of paths that connect the
initial and final states. The book presents the language of graphs and networks, providing a useful framework to discuss such
scenarios and explore the rich phenomenology of transport phenomena. As the complexity increases, deterministic approaches
rapidly become intractable, which leaves statistics as a viable alternative.