14 citations · 40 across the 6 of their papers we have counts for
6 papers
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…
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…
The inflation hierarchy and the polarization hierarchy are complete for the quantum bilocal scenario
Laurens T. Ligthart, David Gross
It is a fundamental but difficult problem to characterize the set of correlations that can be obtained by performing measurements on quantum mechanical systems. The problem is part…
Two convergent NPA-like hierarchies for the quantum bilocal scenario
Marc-Olivier Renou, Xiangling Xu, Laurens T. Ligthart
Characterising the correlations that arise from locally measuring a single part of a joint quantum system is one of the main problems of quantum information theory. The seminal wor…
No graph state is preparable in quantum networks with bipartite sources and no classical communication
Owidiusz Makuta, Laurens T. Ligthart, Remigiusz Augusiak
In research concerning quantum networks, it is often assumed that the parties can classically communicate with each other. However, classical communication might introduce a substa…
A convergent inflation hierarchy for quantum causal structures
Laurens T. Ligthart, Mariami Gachechiladze, David Gross
A causal structure is a description of the functional dependencies between random variables. A distribution is compatible with a given causal structure if it can be realized by a p…