Stefan's life is tough. When he comes home, instead of a cold beer (I support the local wineries) and dinner (ha-ha-ha) he gets one of the crying babies and a washcloth. And then there's his wife who lacks googletime and greets him with bizarre questions. What frequency does a CD player operate on? Something in the near infrared. How many atoms do you need to encode one bit? Maybe somewhat below the million it was in 2008. And why does he actually know all this stuff? Male brains are funny. He does not, for example, know that the Aspirin is in the medicine cabinet, out of all places. But yesterday he gave it a pass, so here's my question to you.
Suppose you have a transmitter, spaceship enterprise style. It reads all the information of all particles in your body (all necessary initial values), disintegrates your body, sends the information elsewhere, and reassembles it. Did you die in that process?
You could object that this process isn't physically possible, either theoretically or practically. Theoretically, there are for example the no-cloning and no-teleportation theorems in quantum information. But you might not actually need all the quantum details to reconstruct a human body. (I'm not sure though the role of quantum physics for consciousness has yet been entirely clarified.) And, if I reassemble you elsewhere you are arguably different in that the relative location of your body to all other objects in the universe has changed. But again, it doesn't seem like that's of any relevance. Or you could say that there won't be enough time to perform this process ever in the history in the universe or something like that. But these answers seem unsatisfactory to me.
Then you might say, well, if it looks like me, walks like me, and quacks like me, it probably is me. That is, nobody, including the person you have assembled could tell any difference. So that would seem like you didn't die.
On the other hand, the operation of your brain has a discontinuity in its timeline in the sense that it didn't do anything during transmission. That is in contrast to, say, anesthesia where your brain is actually quite active. (Interesting SciAm article on that here.) So that would seem like that what constitutes 'you' did cease to operate and 'you' did die.
But then again, who really cares if you stopped thinking for some seconds and then continued that process while in between you changed the set of quarks and electrons you're operating with. However, then consider now I don't send the information to one place, but to ten. And I assemble not one you, but ten. Which one are you?
Oh-uh, headache. I can understand Stefan does prefer to bath the baby. Now where is the Aspirin?