2 00 6 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 tunneling1 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. Of course, the typical profile of a wave-function inside a forbidden region decays exponentially with distance, so its amplitude on the other side of that region should be vanishingly small, particularly if any appreciable distance is involved. A slightly ∗Dipartimento di Fisica e Sezione INFN, Universita degli Studi di Perugia, Via A. Pascoli, 06123, Perugia What is usually referred to as teleportation is the transfer of the information that is necessary to reconstruct a quantum state[1]. Here, by ’teleportation’ we mean the quantum mechanical tunneling of an object over a macroscopic distance.