I don't believe that a copy of someone's consciousness, even if a perfect copy, would ever "be" that person. That is, unless you could perform some kind of live-transfer where the live person's sentient persona could intentionally traverse the gap between their original body into the new destination. Otherwise, the original person is just dead and you made a copy.
Edit: The same thing goes for teleportation. If they disassemble the molecules and reassemble the person at the destination, that's probably a copy and the original person died.