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Simulating quantum dynamics on a classical computer bears a resource cost that grows exponentially with the size of the system; studying systems of more than a few particles quickly becomes intractable. Yet, underpinning this is a fascinating duality - the very properties of quantum systems that make them appear complex to classical systems can be exploited to efficiently study complex classical systems with quantum devices. My research approaches this duality from both sides.

Under the broad umbrella of ‘quantum simulation’, I investigate how quantum technologies can be used to emulate and study the behaviour of complex systems, and conversely, seek to understand which structures of quantum dynamics makes them appear complex to classical hardware. I am interested in the foundational aspects of this, such as the insight this provides into the intrinsic computation of dynamical systems, as well as the practical applications for stochastic modelling and machine learning - particularly in terms of adaptive systems (or ‘agents’).

Broadly then, my research can be summed up by two central questions:

1) What makes a quantum system appear 'complex'?

2)  What can we do with this complexity?