# Extraspecial two-Groups, generalized Yang-Baxter equations and braiding quantum gates

@article{Rowell2007ExtraspecialTG, title={Extraspecial two-Groups, generalized Yang-Baxter equations and braiding quantum gates}, author={Eric C. Rowell and Yong Zhang and Yong-Shi Wu and Mo-Lin Ge}, journal={Quantum Inf. Comput.}, year={2007}, volume={10}, pages={685-702} }

In this paper we describe connections among extraspecial 2-groups, unitary representations of the braid group and multi-qubit braiding quantum gates. We first construct new representations of extraspecial 2-groups. Extending the latter by the symmetric group, we construct new unitary braid representations, which are solutions to generalized Yang-Baxter equations and use them to realize new braiding quantum gates. These gates generate the GHZ (Greenberger-Horne-Zeilinger) states, for an…

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