15. A system for performing quantum computation, the system comprising: a processor; and a storage device having instructions stored therein, the instructions, when executed by the processor, cause the processor to perform acts comprising: modeling, in 2D+1-dimension space-time, movement of at least one of a plurality of quasi-particles within a Kagome lattice comprising a plurality of hexagons to form one or more braids in the 2D+1-dimensional space-time of the Kagome lattice; and determining a computational result based on the formation of the braids.
18. The system of claim 15 , wherein the quasi-particles are determined by a Hamiltonian operator that includes a rule for cutting a first loop and reconnecting loose ends of the cut first loop to form a second loop.