By transmitting consciousness through the influence of one particle on its copy, you can achieve the main goal – to overcome great distances. After all, even if you fly at the speed of light, i.e. 300,000 kilometers per second, you will pass our galaxy only in a circle for 327,000 years. That's if you go in one outer circle, and there are about 400,000,000,000,000,000 stars in it, except for the planets. It will take you 2,551,000 years to get to the nearest galaxy at this incredible speed. And to the known edge of the universe – about 46,000,000,000,000,000 years, not to mention other universes, the existence of which is in doubt. So, the second advantage of this technology is that, in addition to the instantaneous transfer of the state of one particle to another, these particles find each other. That is, they do not fly anywhere, or rather, they transfer their state knowing in advance the entangled pair. This can be compared to the way a glass lens and electrical signals preserve your appearance, voice and instantly transmit to the other side of the earth. This too would once have been magic, tell someone such a thing, even Archimedes himself.
Here I need to give a small clarification about the size of the universe. The size of the observable universe due to its expansion depends on which definition of distance one adopts. The associated distance to the most distant observable object, the surface of the last relic scattering, is about 14 billion parsecs, or 14 gigaparsecs (46 billion light years) in all directions. Thus, the observed universe is a ball about 93 billion light-years in diameter and centered in the solar system (the observer's location).
And now let's think about what would happen if something like this were to happen someday, like a space flight now, and the consciousness would not return to the original body, but would remain there, in that body… and would remember the original one. That is, the consciousness is from here, from the Earth. After all, there were and are scenarios when astronauts cannot return to Earth. In the case of other worlds, there's a time frame to consider. If even the very influence of particles and, consequently, the transfer of consciousness is fast, the time when the consciousness will live there will not necessarily be proportional to the Earth time. In this case it is logical to send a child, a teenager, who will have time to correct the failure in the system. Time to live there while fixing here, or even cooler, because the world should be identical, so maybe he will grow up and fix the failure in the system there. These are the paradoxes that await us when implementing such a method.