Electron teleportation via multiple Majorana bound states in a superconductor island

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 couplings between MBSs, the electron transferring occurs as the energy level of each quantum dot is aligned with the chemical potential of the superconductor. More importantly, the parity state of the MBSs could be retained or changed after the transport, which depends on the initial state of the MBSs. In the presence of MBSs couplings, this system can yield elastic or inelastic tunnelings, according to which pair of MBSs are coupled together. In addition, different coupling types of the MBSs would give rise to distinct behaviors of electron cotunnelings between the two quantum dots. Our results reveal that the initial state and couplings of multiple MBSs play important roles in the Majorana-aid electron teleportation. These findings could deepen our understanding of the non-locality of MBSs, and can be utilized to distinguish topological MBSs from non-topological bound states.