Quantum computation with charge-and-color-permuting twists in qudit color codes

Twists are defects in the lattice which can be utilized to perform computations on encoded data. have been studied various classes of topological codes like qubit and qudit surface codes, color subsystem codes. They known exhibit projective non-Abelian statistics is exploited gates. In this paper, we initiate study twists over odd prime alphabet. To best our knowledge, first Specifically, present a systematic construction that permute both charge excitations. We also mapping between generalized Pauli operators strings lattice. Making use construction, give protocols implement Clifford gates using charge-and-color-permuting twists.