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• W2056532865 abstract "In a topological quantum computer, braids of non-Abelian anyons in a $(2+1)$-dimensional space time form quantum gates, whose fault tolerance relies on the topological, rather than geometric, properties of the braids. Here we propose to create and exploit redundant geometric degrees of freedom to improve the theoretical accuracy of topological single- and two-qubit quantum gates. We demonstrate the power of the idea using explicit constructions in the Fibonacci model. We compare its efficiency with that of the Solovay-Kitaev algorithm and explain its connection to the leakage errors reduction in an earlier construction [H. Xu and X. Wan, Phys. Rev. A 78, 042325 (2008)]." @default.
• W2056532865 created "2016-06-24" @default.
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• W2056532865 date "2009-07-08" @default.
• W2056532865 modified "2023-09-25" @default.
• W2056532865 title "Exploiting geometric degrees of freedom in topological quantum computing" @default.
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• W2056532865 doi "https://doi.org/10.1103/physreva.80.012306" @default.
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