1. A computer-implemented method for encrypting plain text using a quantum computational model, the method comprising: providing on a computing system, a model of a lattice having a system of non-abelian anyons disposed thereon; determining from the lattice model a first quantum state associated with the lattice; modeling movement of the anyons within the lattice to model formation of a first quantum braid in a space-time associated with the lattice, the first quantum braid corresponding to the plain text; modeling movement of the anyons within the lattice to model formation of a second quantum braid in the space-time associated with the lattice, the second quantum braid corresponding to an encryption key; and determining from the lattice model a second quantum state associated with the lattice after formation of the first and second quantum braids has been modeled, the second quantum state corresponding to encrypted text associated with the plain text.