标题： 非绝热编织马约拉纳模式 显示英文标题

标题： Nonadiabatic braiding of Majorana modes

摘要： 马约拉纳零能模的实现和操控因其在拓扑量子计算中的重要作用而备受关注。传统的马约拉纳零能模编织方法依赖于绝热过程。在这项工作中，我们以容纳马约拉纳零能模的复合二维 Kitaev 链系统为例，提出了一种基于非绝热和非阿贝尔几何相位的协议来操作这些马约拉纳零能模。通过在两个量子链的边缘位点局部耦合嵌入的晶格缺陷，可以成功地以高度非绝热的方式模拟两个马约拉纳模式的编织操作。为了进一步增强对控制误差的鲁棒性，我们在量子链设置中应用了多脉冲组合策略，以实现编织操作的二阶保护。我们的方案还可以支持快速且稳健地实现{\pi }/8 门，这是通用量子计算的重要组成部分。因此，这项工作为马约拉纳零能模的非绝热和容错控制提供了一条潜在途径。 显示英文摘要

摘要： The realization and manipulation of Majorana zero modes have drawn significant attention for their crucial role in enabling topological quantum computation. Conventional approaches to the braiding of Majorana zero modes rely on adiabatic processes. In this work, using a composite 2-Kitaev-chain system accommodating Majorana zero modes as a working example, we propose a nonadiabatic and non-Abelian geometry phase-based protocol to execute operations on these Majorana zero modes. This is possible by locally coupling the edge sites of both quantum chains with an embedded lattice defect, successfully simulating the braiding operation of two Majorana modes in a highly nonadiabatic fashion. To further enhance the robustness against control imperfections, we apply a multiple-pulse composite strategy to our quantum chain setting for second-order protection of the braiding operations. Our proposal can also support the fast and robust realization of the {\pi}/8 gate, an essential ingredient for universal quantum computation. This work hence offers a potential pathway towards the nonadiabatic and fault-tolerant control of Majorana zero modes.