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@zedvictor4
So how does one actually observe the phenomenon?
As good an example as any. On the right panel click on "figures", there is a simplified diagram of the experimental setup.
In broad strokes they zapped a special part of a https://en.wikipedia.org/wiki/Nitrogen-vacancy_center diamond with a microwave beam which caused it to shoot out entangled photons. Well tons of things are always shooting out entangled photons and independent photons, but this weird magic crystal shit only glows when the spin is zero and when the spin is zero (now this is an electron in the diamond, it stays where it is) the photons must leave as an entangled pair.
Beyond that I can't tell you much more than read the papers and see what you can understand. I've seen a lot of cool things personally, but never entanglement experiments.