is simply a matter of separating the anyons to a distance where the rate of interfering strays drops to near zero. Simulating the dynamics of a topological quantum computer may be a promising method of implementing fault-tolerant quantum computation even with a standard quantum information processing scheme. Raussendorf, Harrington, and Goyal have studied one model, with promising simulation results. Example: Computing with Fibonacci anyons One of the prominent examples in topological quantum computing is with a system of Fibonacci anyons. In the context of conformal field theory, fibonacci anyons are described by the Yang–Lee model, the SU(2) special case of the Chern–Simons theory and Wess–Zumino–Witten models. These anyons can be used to create generic gates for topological quantum computing. There are three main steps for creating a model: Choose our basis and restrict our Hilbert space Braid the anyons together Fuse the anyons at the end, and detect how they fuse in order to read the output of the system. State preparation Fibonacci anyons are defined by three qualities: They have a topological charge of . In this discussion, we consider another charge called which is the ‘vacuum’ charge if anyons are annihilated with each-other. Each of these anyons are their own antiparticle. and . If brought close to each-other, they will ‘fuse’ together in a nontrivial fashion. Specifically, the ‘fusion’ rules are: Many of the properties of this system can be explained similarly to that of two spin 1/2 particles. Particularly, we use the same tensor product and direct sum operators. The last ‘fusion’ rule can be extended this to a system of three anyons: Thus, fusing three anyons will yield a final state of total charge in 2 ways, or a charge of in exactly one way. We use three states to define our basis. However, because we wish to encode these three anyon states as superpositions of 0 and 1, we need to limit the basis to a two-dimensional Hilbert space. Thus, we consider only two states with a total charge of . This choice is purely phenomenological. In these states, we group the two leftmost anyons into a 'control group', and leave the rightmost as a 'non-computational anyon'. We classify a state as one where the control group has total 'fused' charge of , and a state of has a control group with a total 'fused' charge of . For a more complete description, see Nayak.