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A class of anyonic models for universal quantum computation based on weakly-integral anyons has been recently proposed.
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M. Hastings, C. Nayak, and Z. Wang, “Metaplectic Anyons, Majorana Zero Modes, and their Computational Power,” Phys. Rev. B 87(165421)
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X. Cui, and Z. Wang, “Universal Quantum Computation with Metaplectic Anyons,” J. Math.Phys. 56(032202)
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J. Urias “Householder factorizations of unitary matrices,” Journal of Mathematical Physics 51(7)
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2015
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