3 papers
quant-ph2026
Probabilistic theories stable under teleportation
Lionel J. Dmello, David Gross
A long-standing problem in the foundations of quantum mechanics is to identify a physical principle that explains why algebraically maximal violations of Bell inequalities can gene…
quant-ph2024
Entanglement-swapping in generalised probabilistic theories, and iterated CHSH games
Lionel J. Dmello, Laurens T. Ligthart, David Gross
While there exist theories that have states "more strongly entangled" than quantum theory, in the sense that they show CHSH values above Tsirelson's bound, all known examples of su…
math.OC2024
The polarization hierarchy for polynomial optimization over convex bodies, with applications to nonnegative matrix rank
Martin Plávala, Laurens T. Ligthart, David Gross
We construct a convergent family of outer approximations for the problem of optimizing polynomial functions over convex bodies subject to polynomial constraints. This is achieved b…