Not a philosophical point, but potentially a physical one. The quantum no-cloning theorem says that it's physically imposible to make any copy of a quantum sta

Not a philosophical point, but potentially a physical one. The quantum no-cloning theorem says that it's physically imposible to make any copy of a quantum state, for example all of the state which comprises your body. But it is possible to transfer quantum state from one form to another. This is of course only true of the physical world if the assumptions of the no-cloning theorem are true. Let's assume they are. Teleportation of your body including whatever quantum state you might consider important therefore must involves a process that appears, to an observer outside, to dissolve the state at one end simultaneous with recreating it at the other end. For some fuzzy definition of simultaneous; this is quantum state after all, and time is subject to the uncertainty principle just like position and momentum famously are. The information transfer is analogous to transferring a box which the teleporter cannot look inside. You know it can't look as looking destroys the delicate contents. The teleporter cannot use non-quantum information to encode the contents. But the no-cloning theorem doesn't rule out translating quantum states to different forms, such as complex molecular states to light pulses and back. This is difficult, after all modest size quantum computers are difficult to build, maybe even impossible in practice, and they are much simpler than quantum teleportation of interesting size objects. Squint a bit, and from a certain point of view, this is not destroying your body while creating a copy. It is an exotic form of physical movement, a bit like traversing a wormhole with your body retaining its integrity during the movement, except the wormwhole geometry is not spatial as we normally think of wormholes, it is instead a kind of complex state transformation analogous to geometry. But to you, it might appear that the universe around you is dissolved by the teleporter, then a new location of the universe is reformed around you, then you step out. No loss of physical continuity.