Good point.
One question. If you know the exact location of all the particles as you do this, and you "teleport" them, but at the same time create a copy in the old location with the same quantum information, aren't you back to the same problem?
One question. If you know the exact location of all the particles as you do this, and you "teleport" them, but at the same time create a copy in the old location with the same quantum information, aren't you back to the same problem?