The influence of discreteness on the fluxon scattering on the dipole-like impurity is studied. This kind of impurity is used to model the qubit inductively coupled to the Josephson transmission line (JTL). The previously proposed fluxon assisted readout process of the qubit state is based on measuring the passage time through the dipole impurity. The aim of this work is to clarify the role of the discreteness in this qubit readout process. It is demonstrated that the fluxon delay time on the qubit impurity increases significantly if the discreteness of the JTL increases. Also it is shown that the difference between the fluxon threshold currents for the positive and negative impurities decreases with the increase of discreteness.

中文翻译：

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约瑟夫森传输线中通量子与偶极子杂质相互作用的离散性效应

研究了离散性对偶极子杂质通量子散射的影响。这种杂质用于对电感耦合到约瑟夫森传输线 (JTL) 的量子位进行建模。先前提出的量子位状态的通量子辅助读出过程基于测量通过偶极子杂质的通过时间。这项工作的目的是阐明离散性在量子位读出过程中的作用。结果表明，如果 JTL 的离散性增加，量子位杂质上的通量子延迟时间会显着增加。还表明，正、负杂质的磁通阈值电流之间的差异随着离散性的增加而减小。