“…One can extend this idea to three identical spins, where the eight eigenstates are categorized into three groups labeled A, E + and E − where the last two are degenerate subspaces. Under cyclic permutation of the spins, the four eigenstates in group A remain invariant, and so, totally symmetric states, whereas the two eigenstates in each of degenerate subspaces, E ± , acquire a phase ε = e ± 2π 3 , and so, non-symmetric states [12,17,20,21]. In a similar manner to the two-spin case, one can polarize three identical spins with respect to their symmetry by creating an imbalance of population between the A states and the E ± states.…”