Quantum
-matrices as universal qubit gates
N. Kolganov+*, An. Morozov+*× 1)
+Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia
*Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
×Institute for Information Transmission Problems, 127994 Moscow, Russia
Abstract
We study the Chern-Simons approach to the topological quantum
computing. We use quantum -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.