Robust Non-Clifford gate for Parafermions

ORAL

Abstract

Anyon models of Parafermions can be extended through the addition of a quantized fractional flux and made universal. Braiding of Parafermions provides the Clifford gates while the braiding of a quantized fractional flux around a pair of Parafermions can provide the requisite Non-Clifford gate needed for universality of quantum gates. For example, braiding of half fluxon with h/4e quantized flux around Z_N(N>2) parafermion pair can provide the Non-Clifford Z^(1/2) gate, where Z is the logical qudit operator. Josephson junction made of spin-triplet superconductors can host a half fluxon which can be braided around parafermionic defects implementing the Z^(1/2) gate. We demonstrate the implementation of this Non-Clifford gate and investigate its robustness.

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Presenters

  • Arpit Dua

    Department of Physics and Applied Physics, Yale University, Department of Physics, Yale University

Authors

  • Arpit Dua

    Department of Physics and Applied Physics, Yale University, Department of Physics, Yale University

  • Bors Malomed

    Department of Interdisciplinary Studies, Tel Aviv University

  • Meng Cheng

    Department of Physics and Applied Physics, Yale University, Yale University, Department of Physics, Yale University

  • Liang Jiang

    Applied Physics, Yale Univ, Yale University, Department of Physics and Applied Physics, Yale University, Yale Univ, Applied Physics, Yale University, Department of Applied Physics, Yale University, Dept. of Applied Physics, Yale University, Yale Quantum Institute, Yale University