This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information processing has not yet been reached in the laboratory, but there now exists a variety of platforms in which one can search for the Majorana braiding statistics. After an introduction to the basic concepts of braiding we discuss how one might be able to braid immobile Majorana zero-modes, bound to the end points of a nanowire, by performing the exchange in parameter space, rather than in real space. We explain how Coulomb interaction can be used to both control and read out the braiding operation, even though Majorana zero-modes are charge neutral. We ask whether the fusion rule might provide for an easier pathway towards the demonstration of non-Abelian statistics. In the final part we discuss an approach to braiding in real space, rather than parameter space, using vortices injected into a chiral Majorana edge mode as "flying qubits".

中文翻译：

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在超导体中搜索非亚美尼亚的Majorana编织统计数据

这是对在拓扑超导体中编织非阿贝尔质子世界（Majorana零模）世界线的方法的教程复习。在实验室中尚未达到拓扑量子信息处理的“圣杯”，但现在存在各种平台，可以在其中搜索Majorana编织统计信息。在介绍了编织的基本概念之后，我们将讨论如何通过在参数空间而非实际空间中进行交换来编织固定在纳米线端点上的固定的Majorana零模式。我们解释了即使马约拉纳零模是电荷中性的，如何将库仑相互作用用于控制和读出编织操作。我们询问融合规则是否可能为显示非阿贝尔统计数据提供更简单的途径。在最后一部分中，我们讨论了一种在实空间而不是参数空间中进行编织的方法，该方法使用注入手性Majorana边缘模式的旋涡作为“飞行量子位”。