  I define quantum loop models whose degrees of freedom are Ising spins on the
square lattice as in the toric code, but where the excitations should have
non-abelian statistics. The inner product is topological, allowing a direct
implementation of the anyonic fusion matrix on the lattice. It also makes
deconfined anyons possible for a variety of values of the weight per loop $d$
in the ground state. For d=\sqrt{2}, a gapped non-abelian topological phase can
occur with only four-spin interactions.
