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arXiv 2101.03315quant-phcond-mat.mes-hall
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约瑟夫森结电路中的环行器函数和Majorana零模的编织

Circulator function in a Josephson junction circuit and braiding of Majorana zero modes

Mun Dae Kim

摘要:

本文提出了一种由三个约瑟夫森结和一个三结组成的超导回路中环行器功能的方案。在这项研究中,我们得到了系统的精确拉格朗日导出的有效势的基本边界条件。随后,我们表明,我们可以选择性地选择通过连接在三结,这执行循环器功能的分支电流流动的方向。此外,我们使用这个循环器功能的非阿贝尔编织的马约拉纳零模式(MZMs)。在系统的分支中,我们引入了通过三结相相互作用的MZM对。循环器功能确定三结的相位,并且因此确定MZM之间的耦合以产生编织操作。我们修改了系统,使MZM可以耦合到外部的可扩展设计中执行量子位操作。

英文摘要:

We propose a scheme for the circulator function in a superconducting circuit consisting of a three-Josephson junction loop and a trijunction. In this study we obtain the exact Lagrangian of the system by deriving the effective potential from the fundamental boundary conditions. We subsequently show that we can selectively choose the direction of current flowing through the branches connected at the trijunction, which performs a circulator function. Further, we use this circulator function for a non-Abelian braiding of Majorana zero modes (MZMs). In the branches of the system we introduce pairs of MZMs which interact with each other through the phases of trijunction. The circulator function determines the phases of the trijunction and thus the coupling between the MZMs to gives rise to the braiding operation. We modify the system so that MZMs might be coupled to the external ones to perform qubit operations in a scalable design.

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。

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