Electron Teleportation via Multiple Majorana Bound States in a Superconductor Island

TL;DR

This paper explores electron teleportation through multiple Majorana bound states in a superconductor island, revealing how different couplings and system parameters influence transport processes, with implications for topological quantum computing.

Contribution

It introduces a detailed analysis of electron teleportation involving multiple MBSs, including effects of coupling and asymmetry, advancing understanding of topological superconducting systems.

Findings

Elastic and inelastic teleportation depend on MBS coupling and initial states.

Majorana couplings selectively enable certain teleportation pathways.

Transport signatures vary with MBS coupling types and tunnel asymmetry.

Abstract

Electron teleportation via two separate Majorana bound states(MBSs) is a manifestation of the non-locality of MBSs. A superconductor may host multiple separate or partial overlapping MBSs, and it is difficult to distinguish them. Here, we have studied the electron teleportation between two quantum dots via multiple MBSs in a superconductor island, two of which couple with the quantum dots. We find that in the absence of Majorana coupling, both elastic and inelastic electron transfers are allowed for specific system settings, and the extent to which the island state is changed after the teleportation relies on the initial state of the MBSs. In the presence of Majorana couplings, the elastic and inelastic teleportations are selective according to which pair of MBSs are coupled. Meanwhile, the cotuneling processes are distinct for different MBSs coupling types. In addition, we have investigated the effect of the asymmetry of the tunnelings to quantum dots on the transport. Our findings are meaningful for resolving transport signatures induced by topological MBSs and that stems from nontopological quasiparticle.