Either:
- the information was always spread out (non-local)
- the two particles aren’t really separated, they just appear to be (non-Euclidean)
- the information was made up on the spot (non-real)
Scientists often don’t talk about the first two options; this article omits them, because it’s hard to think about (and violates an assumption scientists make — that you can study bits of reality in isolation).
Personally, I don’t think option #3 makes much sense — I think it was a calculation trick that has outlived its usefulness.
But that would mean admitting Einstein was right, which doesn’t let you write pithy article titles.