Teleportation of a quantum particle in a potential via quantum Zeno dynamics

Abstract

We report on the possibility of teleportation of a quantum particle, a distinctly different phenomenon from the teleportation of a quantum state through entanglement. With the first meaning, teleportation is theoretically possible by placing the particle initially at rest (with a certain uncertainty) out of any equilibrium point of a potential well or barrier and by frequently monitoring whether the particle remains at rest. This quantum Zeno dynamics inhibits acceleration, and features disappearance from the classical turning point and appearance in other turning point, if there is any other, with a probability that approaches unity by increasing the frequency of the measurements. This phenomenon has all the ingredients attributed in science fiction to teleportation: The particle is always at rest, cannot be found in the path between the two turning points, and saves travel time. We discuss the feasibility, in principle, of teleportation of electrons, protons and other particles, and conclude its increasing impracticability as the particle gets heavier.