(a) Three-color anyon currents entangled with each other to implement the local tribein for the Ising model on a honeycomb lattice. The three braidings satisfy the Yang–Baxter equation. (b) Three-color anyon currents entangled with each other to implement coupling style in the Kitaev honeycomb model. (c) The fusion rule of the three-color anyons into two-color Majorana fermions in the Hilbert section of S^z, and the fusion of two Majorana fermions. (d) The fusion rule of the three-color anyons into three-color Majorana fermions in the Hilbert section of S^z.