Topological quantum hashing with the icosahedral group.

  title={Topological quantum hashing with the icosahedral group.},
  author={Michele Burrello and Haitan Xu and Giuseppe Mussardo and Xin Wan},
  journal={Physical review letters},
  volume={104 16},
We study an efficient algorithm to hash any single-qubit gate into a braid of Fibonacci anyons represented by a product of icosahedral group elements. By representing the group elements by braid segments of different lengths, we introduce a series of pseudogroups. Joining these braid segments in a renormalization group fashion, we obtain a Gaussian unitary ensemble of random-matrix representations of braids. With braids of length O(log2(1/epsilon)), we can approximate all SU(2) matrices to an… CONTINUE READING

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