Figure of three-state permutations and their non-Abelian characteristics described by D_3 group (IMAGE)

Science China Press

Figure of three-state permutations and their non-Abelian characteristics described by D_3 group

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Encircling of two different EAs in opposite orders gives rise to two distinct three-state permutations. Similarly, the ρ_1 and ρ_2 operations can be achieved by concatenating μ_1 and μ_3 in opposite sequences. Figure credit: Guancong Ma and Weiyuan Tang.

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