The concept of a teleporter is simple. Scan yourself at the subatomic level, as well as each particle’s energy patterns; convert all the matter into energy and send it to your destination to be reassembled. This is different from quantum teleportation, which is different and, of course, possible with modern technology. Quantum teleportation is lame compared to regular.
The paradox itself asks us if you are killed in the process of destruction and someone else is created who is indistinguishable from you.