Level-rank duality for a Universal Topological Quantum Computer

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.

12 pages

References in corpus (1)

• Tilted Interferometry Realizes Universal Quantum Computation in the Ising TQFT without Overpasses

Cited by in corpus (3)

• Level-rank duality of SU(2)k Chern-Simons theory, and of hypergraph and magic states
• SU(N)1 Chern-Simons theory, the Clifford group, and Entropy Cone
• Hypergraph States in SU(N)1, N odd prime, Chern-Simons Theory