论文标题
在Andreev绑定状态下的Majorana零模式的非亚伯统计
Non-Abelian statistics of Majorana zero modes in the presence of an Andreev bound state
论文作者
论文摘要
编织Majorana零模式（MZMS）是拓扑量子计算的关键过程。我们表明，这种编织可以在平行的半导体纳米线结构中很好地执行。考虑到低能量的Andreev结合状态（ABS）通常与当前设置中的MZM混合，我们在提出ABS时进一步研究MZM的编织特性。我们的数值模拟表明，ABS可以视为一对弱耦合的MZM。 MZMS的动态杂交加上MZM的非 - 亚洲编织将在单个量子位的Bloch球体上引起任意旋转。值得注意的是，由于旋转参数可以单独调节，因此可以操纵这种旋转。因此，可以消除动态进化，而与编织时间无关的非亚洲编织统计数据可以取回。
Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. We show such braiding can be well performed in a parallel semiconductor-superconductor nanowire structure. Considering the fact that the low-energy Andreev bound states (ABSs) usually mix with the MZMs in the present set-up, we further investigate the braiding properties of MZMs when an ABS is presented. Our numerical simulation suggests that ABS can be regarded as a pair of weakly coupled MZMs. The dynamical hybridization of MZMs plus the non-Abelian braiding of MZMs would induce an arbitrary rotation on the Bloch sphere of a single qubit. Remarkably, such rotation is manipulable since the rotation parameters could be individually modulated. Thus, the dynamic evolution can be eliminated and the non-Abelian braiding statistics, independent of the braiding time, retrieves.
