1. A method of transforming states of non-Abelian quasiparticles, comprising: teleporting, via an ancillary pair of quasiparticles, first state information of a first computational non-Abelian quasiparticle to a second computational non-Abelian quasiparticle by adiabatically inducing a first interaction between at least one of the first computational non-Abelian quasiparticle and the second computational non-Abelian quasiparticle and at least one of the pair of ancillary quasiparticles; and teleporting second state information of the second computational non-Abelian quasiparticle to the first computational non-Abelian quasiparticle.