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.
Deutsch, Quantum theory, the Church-Turing princi- ple and the universal quantum computer, Proc
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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.