Re: "quantum-entanglement-teleportation doesn't violate the rule"
No, it doesn't. Here's the macro-equivalent version of what quantum theory says is supposed to be happening.
You're given a pair of magic entangled dice. The rule is that when you roll them, one always comes up the opposite of the other. You roll a one, the other comes up six; two and five; three and four,etc. So you send one to your friend in Australia, then you both roll them together (you can even roll one before the other) and amazingly they still work together.
But here's the catch - if you look at them before they're rolled, the magic is broken. And you can only roll them once and never again. And if you try to make yours show a particular number, that also breaks the magic.
Now the quantum physicist will tell you that they're effectively rolling all the time, being all possible numbers at once, until you look at them. And he can demonstrate that by doing something else with some other dice as an example, but not on your pair as the test also stops them working. A cynic may suggest you've just been given a pair of dice where one is all ones and the other is all sixes, which is why you're not allowed to look, and the whole situation is as much practical use as a chocolate fireguard.