Teleportation by a Majorana medium

It is argued that Majorana zero modes in a system of quantum fermions can mediate a teleportation-like process with the actual transfer of electronic material between well-separated points. The problem is formulated in the context of a quasirealistic and exactly solvable model of a quantum wire embedded in a bulk p-wave superconductor. An explicit computation of the tunneling amplitude is given. Teleportation by quantum tunneling 1 in one form or another has been the physicist’s dream since the invention of the quantum theory. The simplest idea makes use of the fact that the quantum wave-function can have support in classically forbidden regions and can thus reach across apparent barriers. Wherever the wave-function has support, the object whose probability amplitude it describes can in principle be found.