Formulating bosonic field theories for quantum simulation is a subtle task. Ideally, one wants the smallest truncation of the bosonic Hilbert space that simultaneously exhibits the highest possible degree of universality. But some of the most straight-forward truncations (for example, the Laplacian truncation) do not exhibit much universality. By contrast, recent work on the so-called “fuzzy” sigma model has shown promise as a very efficient qubitization of the 1+1d sigma model, with only a 4-dimensional 1-site Hilbert space. In this talk, I will first describe the fuzzy sigma model, followed by the generalization of the fuzzy strategy to non-abelian gauge theories. I will argue that a promising gauge theory can be constructed based on the Orland-Rohrlich gauge magnet, and this theory will be contrasted with the traditional Laplacian truncation strategy.