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The common approach to topological quantum computation is to implementquantum gates by adiabatically moving non-Abelian anyons around each other.Here we present an alternative perspective based on the possibility ofrealizing the exchange (braiding) operators of anyons by adiabatically varyingpairwise interactions between them rather than their positions. We analyze asystem composed by four anyons whose couplings define a T-junction and we showthat the braiding operator of two of them can be obtained through a particularadiabatic cycle in the space of the coupling parameters. We also discuss how tocouple this scheme with anyonic chains in order to recover the topologicalprotection.

Braiding of non-Abelian anyons using pairwise interactions