In ?? ?this talk, we present recent results about the ? ?? ?capability of ?? ?restricted Boltzmann machines(RBMs) to find ?? ? ??solutions for the Kitaev ?? ?honeycomb model with periodic boundary ? ?? ?conditions. We start with a ?? ?review of non-abelian topological ? ?? ?phases of matter and their ?? ?importance for a scheme of quantum ? ?? ?computation known as ?? ?"topological quantum ?? ? ??computation". We then proceed to ?? ?introduce the Kitaev ?? ? ??Honeycomb model and our method for finding ?? ?representations of ? ?? ?its ground and excited states using ?? ?RBMs.Furthermore, the ?? ? ??possibility of realizing anyons in the RBM is ?? ?discussed and an ? ?? ?algorithm is given to build these anyonic ?? ?excitations and ? ?braid ?? ?them for possible future applications in ?? ?quantum ? ?computation. ?? ?Using the correspondence between topological ?? ? ??field theories in ?? ?(2+1)d and 2d CFTs, we propose an ? ?identification ?? ?between our RBM ?? ?states with the Moore-Read ? ?state and conformal ?? ?blocks of the 2d ?? ?Ising model.

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