Demonstration of magic state power of $\mathbf{D}({\mathbf{S}}_3)$ anyons with two qudits

Lucy Byles, Ewan Forbes, Jiannis K. Pachos

We consider a lattice of $d=6$ qudits that supports $\mathbf{D}({\mathbf{S}}_3)$ non-Abelian anyons. We present a method for implementing both braiding and fusion evolutions using on…