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World line of braiding Fibonacci anyons. We create two pairs of Fibonacci anyons from vacuum, braid the middle two and then fuse them. In terms of topological quantum computing, such a braid will transfer the initial logical state |0> to the logical state |Ψ>L = φ-1e4πi/5|0> + φ-1/2e-3πi/5|1> , which can be detected by measuring the fusion results of the two pairs of anyons.

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