Teleportation: Dream or Reality?

Since its discovery in 1993, we witness an intensive theoretical and experimental effort centered on teleportation. Very recently it was claimed in the press that ``quantum teleportation has been achieved in the laboratory'' (T. Sudbery, Nature, 390, p. 551). Here, I briefly review this research focusing on the connection to nonlocal measurements, and question Sudbery's statement. A philosophical inquiry about the paradoxical meaning of teleportation in the framework of the many-worlds interpretation is added.Comment: Invited Talk in the Conference: Mysteries, Puzzles and Paradoxes in Quantum Mechanics, 13 page