arXiv:2211.12550, An invertible map between Bell non-local and contextuality scenarios. We show how correlations in a two party Bell scenario can be bijectively mapped to behaviours in a family of contextuality scenarios such that quantumness and classicality are preserved. Our result shows no semidefinite programming hierarchy can converge to the quantum contextual set.

arXiv:2010.05853, Characterising and bounding the set of quantum behaviours in contextuality scenarios. We present a semidefinite programming hierarchy to approximate quantum behaviours in contextuality scenarios. We then use the hierarchy to demonstrate a semi-device-independent quantum key distribution protocol powered by contextuality.

arXiv:1808.08091, A Gleason-type theorem for qubits based on mixtures of projective measurements. Gleason's theorem can be used to simplify the axioms of quantum theory. It does so by deriving the state axiom from an axiom describing projective measurements. Gleason's theorem does not, however, hold in dimension two. We show how Gleason's theorem can be extended to dimension two by considering projective-simulable measurements.