While everything you said is true, I feel its worth pointing out entanglement is stronger than simply being able to generate the same number in two locations, a

While everything you said is true, I feel its worth pointing out entanglement is stronger than simply being able to generate the same number in two locations, a feat easily accomplished via classical means. Edit: Entanglement is akin to the following... Assume Alice and Bob are distantly separated. Alice has an arbitrary float variable called x. Alice and Bob both have a function rand() generating floats between zero and one, with a shared seed so that they can both generate the same random numbers. Classical correlation is that they both can call rand() with their identical seeds to get the same random numbers. Entanglement is that Bob's rand() is actually ((x + rand()) % 1), where Bob instantly and magically has access to Alice's variable x. No information can be transmitted, because the distribution of random numbers hasn't changed, and Bob doesn't have direct access to x. But something is different, and if Bob is clever, he might be able to do some fun stuff. This isn't a perfect analogy, but perhaps it helps.