Quantum $\mathcal{R}$-matrices as universal qubit gates

Abstract

We study the Chern-Simons approach to the topological quantum computing. We use quantum $\mathcal{R}$-matrices as universal quantum gates and study the approximations of some one-qubit operations. We make some modifications to the known Solovay-Kitaev algorithm suitable for our particular problem.

6 pages, 5 figures

References in corpus (2)

• Non-Abelian Anyons and Topological Quantum Computation
• New symmetries for the $U_q(s{l}_N)$ 6-j symbols from the Eigenvalue conjecture