论文标题
基于二阶拓扑超导体的拓扑和自动量子计算
Topological and holonomic quantum computation based on second-order topological superconductors
论文作者
论文摘要
Majorana fermions具有非亚伯交换统计数据，并有望在拓扑量子计算中引人入胜。最近，已经提出了二阶拓扑超导体（SOTSS）作为具有零激发能量的局部准粒子，以托管Majorana fermions，并指出了促进拓扑量子计算的新途径。我们提供了SOTS的最小模型，并系统地分析了Majorana零模式的特征，并使用分析和数值方法。我们进一步构建了由单个或多个SOTS岛形成的零模式的基本融合原理。最后，我们提出了由SOTS形成的不同设置中的混凝土方案，使我们能够交换和融合非亚伯辫子和自动量子门操作的零模式。
Majorana fermions feature non-Abelian exchange statistics and promise fascinating applications in topological quantum computation. Recently, second-order topological superconductors (SOTSs) have been proposed to host Majorana fermions as localized quasiparticles with zero excitation energy, pointing out a new avenue to facilitate topological quantum computation. We provide a minimal model for SOTSs and systematically analyze the features of Majorana zero modes with analytical and numerical methods. We further construct the fundamental fusion principles of zero modes stemming from a single or multiple SOTS islands. Finally, we propose concrete schemes in different setups formed by SOTSs, enabling us to exchange and fuse the zero modes for non-Abelian braiding and holonomic quantum gate operations.
