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To those people talking about memories and such, its electrochemical/structural. Neurons are connected in certain ways with electrical "weight factors" given by local ion concentrations, etc. Its easy to wipe out memories with a surgeon's knife, or to bring them up with some well-placed electrodes. There's no "soul" necessary to describe that. This is in principle a possibility, and has nothing to do with cloning (a MUCH coarser process).
I don't think this could ever happen for living objects though. Maybe things that could be frozen to very nearly absolute zero with minimal damage could eventually be transported (putting things into a coherent quantum state). Such methods could bypass the information problem, but are still very unlikely.
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