An incomplete but better than most pop science explanations is as follows: Suppose I have 2 envelopes and 2 letters. We have a stamp that has A and B on it next to each other. Without looking we put the letters next to each other, randomly Orient the stamp and apply it. Then we fold the letters up and put them in the envelops. Now we look at the stamp as see it has A and B on it.
We know that one letter contains A and the other B but not which, you take one and fly to Siberia while I enjoy a nice holiday in Tasmania (sorry but this is the sacrifice of science). I open my letter and see a B, instantly I know that in Siberia there is a letter containing A.
Light speed etc isn't violated here because we travelled below light speed when setting it all up, I haven't affected your letter just gained some insight about the overall system by inspecting one part of it.
Now there are a lot of things I've glossed over but it's much closer to opening letters than psychic woo particles.
edit: as to keeping them latched it's hard. The coupling is like conservative laws (e.g. spin up and spin down so no net overall spin) but any interactions destroy the coupling (or rather extend it to whatever just might've swapped spin with a particle). AFAIK nobody has maintained a system over lightyears for that reason among many, but like shipping pineapples to England the barrier appears practical rather than theoretical.
Just to talk in international units to include everyone: I was under the impression it was supposed to operate at 1 mbar or 1/1000th of an atmosphere. That's into the transition between viscious and molecular flow iirc (for air at normal temps anyway). You're probably still pumping down with something like a scroll pump but it's not very efficient anymore.
Thinking about the number of opportunies for leaks. Every joint, every screw, every pump connection. How they all shift against each other as the sun warms and cools them, how you relieve the strain without introducing pourous materials. It's a fucking nightmare, and even if you manage all that you need to be pumping on it every few meters 24/7 to keep pressures that low with the realistic amount of leaks/in order to be able to pump down the local area where one occurs.
Like imagine if you needed a phat motor on every block to make roads work. The infrastructure demand is just unreal