Foundational Underpinnings of Quantum Technologies

Specific goals of the group include:
– Formulate candidate theories that supersede quantum. In particular, explore which possible
deviations of quantum theory are still sensible.
– Study causality within and beyond quantum theory, from a process-theoretic perspective.
– Characterise the quantum manifestation of nonclassical phenomena. The main focus will be on Bell nonlocality, contextuality, steering, and correlations in causal networks.
– Develop resource theories to address quantification.
– Identify current and new forms of nonclassicality as resources for quantum technologies.
– Assess nonclassical speed-up for computation, within and beyond quantum theory.
– Contribute to the development of a systematic approach to quantum program optimisation based on the zx-calculus, by further developing the foundations of the latter.

Keywords: quantum nonlocality, quantum contextuality, steering, causality, Bell’s theorem, process theories, generalised probabilistic theories, quantum computational speedup, quantum networks, resource theories, post-quantum theories, post-quantum nonclassicality, zx-calculus.