Avenues of Majorana bound states (MBSs) have become one of the primary directions towards a possible realization of topological quantum computation. For a Y junction of Kitaev quantum wires, we numerically investigate the braiding of MBSs while considering the full quasiparticle background. The two central sources of braiding errors are found to be the fidelity loss due to the incomplete adiabaticity of the braiding operation as well as the finite hybridization of the MBSs. The explicit extraction of the braiding phase from the full many-particle states allows us to analyze the breakdown of the independent-particle picture of Majorana braiding. Furthermore, we find nearest-neighbor interactions to significantly affect the braiding performance for better or worse, depending on the sign and magnitude of the coupling.

中文翻译：

---

相互作用的马约拉纳量子线的编织错误

马约拉纳结合态（MBS）大道已成为实现拓扑量子计算的主要方向之一。对于Kitaev量子线的Y结，我们在考虑整个准粒子背景的同时，对MBS的编织进行了数值研究。发现编织误差的两个主要来源是由于编织操作的不完全绝热性以及MBS的有限杂交而导致的保真度损失。从全多粒子状态中明确提取出编织相，使我们能够分析马约拉纳编织的独立粒子图的分解。此外，根据耦合的符号和大小，我们发现最邻近的相互作用会显着影响编织性能的好坏。