ASim: a numerical package for error-correction simulations in non-Abelian topological codes

Topological quantum computation leverages the exotic properties of anyons to achieve fault-tolerant quantum information processing. For quantum stabilizer codes, "Stim" was developed to efficiently simulate error correcting dynamics. However, because of the non-Abelian nature of topological anyons, it is difficult to simulate the overall dynamics classically. Here, we present ASim, a numerical package for error-correction simulations for general non-Abelian topological codes. By taking advantage of the fusion tree structure of topological excitations and expressing the state into tensor products of fusion trees, we are able to simulate the dynamics of non-Abelian codes in a large lattice with moderate error rate. We also provide a numerical simulation of the error threshold for Ising, S₃ and Fibonacci topological codes as an example here.