扭曲MoTe$_2$中分数量子自旋霍尔态的Cheshire量子点
Cheshire qudits from fractional quantum spin Hall states in twisted MoTe$_2$
AI总结：
本文提出在扭曲MoTe$_2$的FQSH态中打孔并引入超导邻近效应构建拓扑量子存储元件Cheshire qudits，通过门控实现读取与热熵测量，并系统分类了候选FQSH序的边界与缺陷及其实验特征。
摘要：
扭曲MoTe$_2$同质双层表现出与分数量子自旋霍尔（FQSH）态一致的输运特征。我们描述了一种构建拓扑量子存储元件的途径，称为Cheshire qudits，通过在此类FQSH态中打孔并利用邻近诱导的超导性来使产生的螺旋边缘态能隙化。Cheshire qudits将量子信息编码在由分数拓扑“Cheshire”电荷区分的态中，该电荷在凝聚体任意子内部对局域探测隐藏。通过门控对边缘间隧穿的调控，实现了基于超导电流的Cheshire qudit读取，以及对其拓扑基态空间简并相关的热熵的电容测量。此外，我们系统地分类了不同类型的能隙边界、Cheshire qudits和parafermionic twist defects，涵盖了与输运数据一致的各种Abelian和非Abelian候选FQSH序，并描述了区分这些序的实验特征。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
