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arXiv · 1504.02098

Universal Gates via Fusion and Measurement Operations on SU$(2)_4$ Anyons

Claire Levaillant·Bela Bauer·Michael Freedman·Zhenghan Wang·Parsa Bonderson
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Abstract

We examine a class of operations for topological quantum computation based on fusing and measuring topological charges for systems with SU$(2)_4$ or $k=4$ Jones-Kauffman anyons. We show that such operations augment the braiding operations, which, by themselves, are not computationally universal. This augmentation results in a computationally universal gate set through the generation of an exact, topologically protected irrational phase gate and an approximate, topologically protected controlled-$Z$ gate.

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Claire Levaillant, Bela Bauer, Michael Freedman, Zhenghan Wang, Parsa Bonderson. 2015-07-01. Universal Gates via Fusion and Measurement Operations on SU$(2)_4$ Anyons. https://doi.org/10.1103/physreva.92.012301

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