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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.
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.
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