Building graph states with optically trapped molecules*

Molecular quantum systems offer a promising architecture for measurement-based quantum computing. These systems are highly controllable, optically addressable, and typically admit a natural two-particle dipole-dipole interaction. In this talk, we will discuss how to use molecular rotational levels of optically trapped bi-alkali systems to build graph states via the dipole-dipole interaction under Floquet dressing. We will demonstrate the scalability of our results. Additionally, we will discuss possible generalizations from two- and three-level systems to greater numbers of rotational levels, as well as more complex states such as multigraph and hypergraph states.