Multiple quantum teleportation within space-time, and dependent clones with given probability

Abstract

To a certain extend experimental quantum teleportation has been demonstrated. A minimal scheme to teleport an unknown quantum multiple times is described which can be used for chaining of quantum teleportation. The scheme is combined with results from special relativity. A conventional idealized computation is conducted which would yield the predictions that it would be possible to teleport with given idealized probability an unknown quantum state to a point in spacetime which is, e.g., slightly within the past of the starting point. Conducting this scheme in a certain way multiple times would lead to the idealized predictions that multiple special kinds of perfect clones of an unknown quantum state can be obtained with given probability. A feature of such clones is elucidated according to which one may call them ‘dependent’ clones. The results are in accordance with the no-cloning theorem, because the clones would be generated only with given idealized probability, and, of course, using this scheme classical information cannot be transmitted superluminal, and it cannot be transmitted into the past. Quantum states, idealized probabilities for the different possible states, and parameters for the experiments are computed