Symmetry-protected gates of Majorana qubits in a high-$T_c$ higher-order topological superconductor platform
Symmetry-protected gates of Majorana qubits in a high-$T_c$ higher-order topological superconductor platform
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DOI：
10.21468/scipostphys.11.5.086
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发表时间：
2021-11
期刊：
影响因子：
5.5
通讯作者：
Matthew F. Lapa;M. Cheng;Yuxuan Wang
中科院分区：
文献类型：
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作者：
Matthew F. Lapa;M. Cheng;Yuxuan Wang
我们提出了一个基于dd波高T_cTc超导体和量子自旋霍尔绝缘体之间的异质结构编织马约拉纳非阿贝尔任意子的平台。最近的研究表明，量子自旋霍尔绝缘体的这种设置导致在样品的每个角上都有一对Majorana零模，因此可以被视为高阶拓扑超导体。我们表明，在该地区应用塞曼场，这些马约拉纳模式分裂的空间，可以通过调整字段和配对相位编织过程中进行操作。我们表明，这样的设置可以实现完整的编织，交换，和任意相位门（包括\π/8π/8魔术门）的马约拉纳零模式，所有这些都是强大的和对称性的保护。由于我们提出的平台的许多成分已经在最近的实验中实现，我们的结果为通用拓扑量子计算提供了一条新的途径。
We propose a platform for braiding Majorana non-Abelian anyons based on a heterostructure between a dd-wave high-T_cTc superconductor and a quantum spin-Hall insulator. It has been recently shown that such a setup for a quantum spin-Hall insulator leads to a pair of Majorana zero modes at each corner of the sample, and thus can be regarded as a higher-order topological superconductor. We show that upon applying a Zeeman field in the region, these Majorana modes split in space and can be manipulated for braiding processes by tuning the field and pairing phase. We show that such a setup can achieve full braiding, exchanging, and arbitrary phase gates (including the \pi/8π/8 magic gates) of the Majorana zero modes, all of which are robust and protected by symmetries. As many of the ingredients of our proposed platform have been realized in recent experiments, our results provide a new route toward universal topological quantum computation.