How would you actually teleport humans, if you had sufficiently advanced technology and a need?
Well, the exact position of every atom in their entire body clearly doesn’t matter, because they are shifting relative to each other all the time.
Nor does the entire body matter, organ transplants work.
What you would likely do is work out exactly which properties of the human brain matter, and ignore all the rest. Current rough theories suggest it is likely parameters in the synapses. The number of receptor molecules, the type of receptor, the state of those receptor molecules.
If the count is one 32 bit number, and the type is a 16 bit number, and there are another 16 bits or so for various other factors, that means roughly you need to transmit 64 bits of information per synapse. Will assume the number is 256 to account for unknowns. (this is not a complete ass-pull, computer models of the brain do replicate many lower level neural processes with less information than this). So 32 bytes per synapse, about 86 billion total neurons, average of 1000 synapses per neuron.
2.75 petabytes. (2750 terabytes)
What would you do with this data file? Emulate their mind using synthetic computational hardware. Probably stacks of synapse-emulating ‘cells’, similar to the design of modern TPUs and other ‘neural’ processors.
What good is it to be a disembodied mind in alpha centauri? Obviously they would have bodie(s), these bodies could be humanoid robots or they might ‘live’ in a virtual environment that emulates a normal human living space (with faux sky and fresh air and all that) while in reality the computer emulating them is part of some gigantic asteroid or moon industrial plant in vacuum swarming with robots.
How would you transmit such a file? Free space lasers. Using high visible light or UV wavelengths (maybe soft x-rays if you can build focusing mirrors). Really, really bright lasers aimed precisely at receivers light-years away, with a corresponding focusing mirror on the other end.
How would you deal with data transmission errors? You would have to wait years for a resend.
Algorithms exist to fix this problem. In short, if you send N bits of data + M redundancy bits, as long as any combination of valid bits are received slightly greater than N, the original valid message can be reconstructed. Using ‘coherency’ math, I am unsure of why this works and the equations look nasty.
Wouldn’t you be dead if your brain was ripped apart to construct this computer file? Arguably, yes. But other people who are still ‘living’ would not be able to tell that you are dead. And it wouldn’t feel like you are dead to yourself. Also you only die once - you would continue to “live” on earth while you send copies of yourself to other stars, and later those copies are sent back as deltas from the original. (just which bits changed, not the whole file, obviously)