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Level-rank duality for a Universal Topological Quantum Computer

Published 28 Nov 2018 in hep-th and quant-ph | (1811.11861v1)

Abstract: It is shown, using level-rank duality that a universal topological quantum computer based on Chern-Simons theory for SU(2)$_3$ also implies an analogous universal quantum computer based on SU(3)$_2$. Suggestions are made for the possible role of level-rank duality in entanglement from topology.

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