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Demonstrating non-Abelian statistics of Majorana fermions using twist defects

机译:用扭曲缺陷论证马里亚纳费米子的非阿贝尔统计

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摘要

We study the twist defects in the toric code model introduced by Bombin [Phys. Rev. Lett. 105, 030403 (2010)]. Using a generalized two-dimensional Jordan-Wigner transformation and a projective construction, we show explicitly that twist defects carry unpaired Majorana zero modes. In addition, we propose a quantum nondemolition measurement scheme of the parity of Majorana modes. Such a scheme provides an alternative avenue to demonstrate the non-Abelian statistics of Majorana fermions. The braiding operation is simulated by a nonrepetitive measurement-based approach which removes the uncertainty associated with forced measurements.
机译:我们研究了Bombin [Phys。牧师105,030403(2010)]。使用广义的二维Jordan-Wigner变换和射影构造,我们清楚地显示出扭曲缺陷带有不成对的Majorana零模式。另外,我们提出了一种马约拉那模态奇偶校验的量子不爆破测量方案。这种方案提供了另一种途径来证明马里亚纳费米子的非阿贝尔统计。通过基于非重复测量的方法模拟编织操作,该方法消除了与强制测量相关的不确定性。

著录项

  • 来源
    《Physical review》 |2015年第24期|245139.1-245139.10|共10页
  • 作者单位

    Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA;

    Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA;

    Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    quantum computation;

    机译:量子计算;

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