Topological Quantum Computation from non-abelian ... - Paul Fendley

Conclusions• New identities for the chromatic polynomial can be derived using the Jones-Wenzlprojector when Q = 2 + 2 cos(2πj/(k + 2)) and j ≤ k are positive integers. Forj = 1, these are the Beraha numbers.• Models with non-abelian braiding have been constructed. Because they are gapped,there is hope that they might be realized in frustrated magnets.• Topological quantum computation is not likely in the near future, but you never know...43