Braiding Majorana fermions yields non-Clifford gates in the Z4 parafermion representation, and braiding Z4 parafermions yields non-Clifford gates in the Majorana representation, enabling a conceptual route to universal topological quantum computation.
12 Appendix D: Braiding of Majorana fermions under a conserved total parity In a system of six Majorana fermions where the total parity is conserved to 1, i.e
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Generating non-Clifford gate operations through exact mapping between Majorana fermions and $\mathbb{Z}_4$ parafermions
Braiding Majorana fermions yields non-Clifford gates in the Z4 parafermion representation, and braiding Z4 parafermions yields non-Clifford gates in the Majorana representation, enabling a conceptual route to universal topological quantum computation.