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Number-conserving analysis of measurement-based braiding with Majorana zero modes

机译:基于Majorana Zero模式的测量基于测量的编号节约分析

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摘要

Majorana-based quantum computation seeks to encode information nonlocally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In addition to long coherence times, the attractiveness of Majorana-based quantum computing relies on achieving topologically protected Clifford gates from braiding operations. Recent works have conjectured that mean-field BCS calculations may fail to account for nonuniversal corrections to the Majorana braiding operations. Such errors would be detrimental to Majorana-based topological quantum computing schemes. In this work, we develop a particle-number-conserving approach for measurement-based topological quantum computing and investigate the effect of quantum phase fluctuations. We demonstrate that braiding transformations are indeed topologically protected in charge-protected Majorana-based quantum computing schemes.
机译:基于Majorana的量子计算旨在以一对Majorana零模式编码信息,从而将Qubit状态隔离在局部嘈杂的环境中。除了长相干时间之外,基于Majorana的量子计算的吸引力依赖于从编织操作实现拓扑保护的克利福德门。最近的作品猜测,意思场BCS计算可能无法解释对Majorana编织操作的非凡的校正。此类错误对基于Majorana的拓扑量子计算方案有害。在这项工作中,我们开发了一种用于基于测量的拓扑量子计算的粒子级保守方法,并研究量子相波动的影响。我们证明编织转换确实是拓扑基于Majorana的量子计算方案的拓扑保护。

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  • 来源
    《Physical review》 |2020年第12期|125108.1-125108.13|共13页
  • 作者单位

    Department of Physics University of California Santa Barbara California 93106 USA Department of Physics and Institute for Quantum Information and Matter California Institute of Technology Pasadena California 91125 USA Walter Burke Institute for Theoretical Physics California Institute of Technology Pasadena California 91125 USA;

    Station Q Microsoft Corporation Santa Barbara California 93106-6105 USA;

    Station Q Microsoft Corporation Santa Barbara California 93106-6105 USA;

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