Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors
arXiv:2404.06677 · doi:10.7566/JPSJ.93.063704
Abstract
We investigate teleportation interference associated with the non-local character of Majorana zero modes (MZMs) as a probe of MZMs focusing on the tolerance of teleportation against disturbances, such as inhomogeneous potentials at junctions and disorder. We develop a method for calculating non-local conductance in mesoscopic topological superconductors with fixed parity. In the trivial phase, the non-local conductance exhibits the -periodicity, while in the topological phase with fixed parity, it exhibits the -periodicity, indicative of Majorana teleportation. We find that the -periodicity is stable against changes in inhomogeneous potential structures and disorder. These results imply that MZMs can cause teleportation interference even in the presence of disturbances, leading to a clear distinction between the trivial and topological phases.
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