The StarTrek transporter or 'teleporter' is logically possible and physically possible. It has also been implemented with photons I believe, across the river Danube near Vienna. There will be no problem with shortage of physical and computational resources in the future. Whether you believe it will ever be done for large and systems complex systems largely depends on your view of 'identity'. In quantum mechanics (unlike classical), two systems/objects are identical if they are in the same 'quantum state'. So the 'you' on the other end of the transporter would be (identical to) the 'you' on this end. I recall watching a film called 'The Prestige', where Nikola Tesla played by David Bowie was supposed to have invented some such device. The 'Banach-Tarski' paradox discovered in 1925, demonstrates mathematically that in principle you could 'duplicate everything and everyone'.