(a) Flipping | ↑ 〉 to | ↓ 〉 by braiding the positron (e⁺) and magnetic monopole (m⁺) twice in a clockwise manner. (b) Flipping | ↓ 〉 to | ↑ 〉 by braiding e⁺ and m⁺ in a counterclockwise manner.