2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127748A method for compiling quantum algorithms into specific braiding patterns for non-Abelian quasiparticles described by the so-called Fibonacci anyon model is developed. The method is based on the observation that a universal set of quantum gates acting on qubits encoded using triplets of these quasiparticles can be built entirely out of three-stranded braids (three-braids). These three-braids can then be efficiently compiled and improved to any required accuracy using the Solovay-Kitaev algorithm.20 pages, 20 figures, published versionQuantum PhysicsMesoscale and Nanoscale Physicstext