论文标题
Majorana Kramers Qubit的操纵及其在时间反向不变的拓扑超导体中的容忍度
Manipulation of Majorana Kramers Qubit and its Tolerance in Time-Reversal-Invariant Topological Superconductor
论文作者
论文摘要
我们通过使用编织动力学的数值模拟，研究了一维时间不变的拓扑超导体的网络系统中的Majorana Kramers对（MKP）的非 - 亚伯统计，并检查对可能导致MKP含量的各种扰动的公差。首先，我们考虑打破时间反转对称性的磁场的效果。与幼稚的期望相反，如果在时间逆转和镜子反射的组合中，即使中等状态破坏了对称的对称性，则对施加的磁场的非亚洲编织对应用的磁场具有鲁棒性。其次，我们研究了非亚伯辫子的稳定性，在超导纳米线之间，栅极引起的连接处的不均匀电势，这通常在连接处产生一个非莫霍拉纳纳米线。结果发现，当非均匀电位的长度尺度与超导体的连贯长度相媲美时，非马霍拉纳省几乎零能量的状态会干扰MKP，从而导致非亚洲辫子的失败。
We investigate non-Abelian statistics of Majorana Kramers pairs (MKPs) in a network system of one-dimensional time-reversal invariant topological superconductors by using numerical simulations of braiding dynamics, and examine the tolerance against various perturbations which may cause decoherence of MKPs. We, first, consider effects of a magnetic field which breaks time-reversal symmetry. In contrast to a naive expectation, the non-Abelian braiding of MKPs is robust against applied magnetic fields provided that the initial and final states of a braiding process are invariant under the combination of a time reversal and a mirror reflection, even when intermediate states break the combined symmetry. Secondly, we investigate the stability of non-Abelian braidings in the case with gate-induced inhomogeneous potentials at junctions between superconducting nanowires, which generally generate a non-Majorana nearly zero-energy Andreeev bound state at the junctions. It is found that the non-Majorana nearly zero-energy states interfere with MKPs, resulting in the failure of non-Abelian braidings, when the length scale of the inhomogeneous potentials is comparable to the coherence length of the superconductors.
