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    • Cheshire Qudits from Fractional Quantum Spin Hall States in Twisted MoTe_2

    Rui Wen,Andrew C. Potter

    arXiv · Strongly Correlated Electrons（2024）

    Cited 0|Views8
    Abstract
    Twisted MoTe_2 homobilayers exhibit transport signatures consistent with a fractional quantum spin Hall (FQSH) state. We describe a route to construct topological quantum memory elements, dubbed Cheshire qudits, formed from punching holes in such a FQSH state and using proximity-induced superconductivity to gap out the resulting helical edge states. Cheshire qudits encode quantum information in states that differ by a fractional topological "Cheshire" charge that is hidden from local detection within a condensate anyons. Control of inter-edge tunneling by gates enables both supercurrent-based readout of a Cheshire qudit, and capacitive measurement of the thermal entropy associated with its topological ground-space degeneracy. Additionally, we systematically classify different types of gapped boundaries, Cheshire qudits, and parafermionic twist defects for various Abelian and non-Abelian candidate FQSH orders that are consistent with the transport data, and describe experimental signatures to distinguish these orders.
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    【要点】：本文提出了一种利用扭曲的MoTe_2同质双层中分数量子自旋霍尔（FQSH）状态构建的拓扑量子存储单元——Cheshire qudits，通过边缘态的 proximity-induced 超导性来实现边缘态的能隙，并利用其独特的拓扑性质进行量子信息编码。
    

    【方法】：通过在FQSH状态下打孔并利用邻近诱导的超导性来消除边缘态，从而构建Cheshire qudits，这些qudits能编码由拓扑“Cheshire”电荷决定的量子信息，该电荷在凝聚态任意子中无法被局部检测到。
    

    【实验】：作者通过控制边缘间的隧道效应和使用门控技术，实现了对Cheshire qudits的读取以及与其拓扑基态简并度相关的热熵的电容测量。同时，作者对各种符合传输数据的Abelian和非Abelian FQSH阶的边界类型、Cheshire qudits以及parafermionic扭曲缺陷进行了系统分类，并描述了区分这些阶的实验特征。文中未具体提及使用的数据集名称。
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