Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex cores of two-dimensional topological superconductors or at the ends of one-dimensional topological superconductors. Here we describe an alternative platform: a two-dimensional topological superconductor with inhomogeneous superconductivity, where Majorana modes localize at the ends of topologically nontrivial one-dimensional stripes induced by the spatial variations of the order parameter phase. In certain regimes, these Majorana modes hybridize into a single highly nonlocal state delocalized over spatially separated points, with exactly zero energy at finite system sizes and with emergent quantum-mechanical supersymmetry. We then present detailed descriptions of braiding and fusion protocols and showcase the versatility of our proposal by suggesting possible setups that can potentially lead to the realization of Yang-Lee anyons and the Sachdev-Ye-Kitaev model.

马约拉纳零模因其在拓扑量子计算和奇异量子相的实现中的潜在应用而引起了人们的极大兴趣。这些零能量准粒子激发集中在二维拓扑超导体的涡核或一维拓扑超导体的末端。在这里，我们描述了一个替代平台：具有非均匀超导性的二维拓扑超导体，其中马约拉纳模式位于由序参数相位的空间变化引起的拓扑非平凡一维条纹的末端。在某些情况下，这些马约拉纳模式混合成一个高度非定域的状态，在空间分离的点上离域，在有限的系统尺寸下能量恰好为零，并且具有新兴的量子力学超对称性。然后，我们详细描述了编织和融合协议，并通过建议可能实现 Yang-Lee 任意子和 Sachdev-Ye-Kitaev 模型的可能设置来展示我们建议的多功能性。