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I assume the goal is to do FTL signaling. First, entanglement isn't something you get to use over and over again. It's not as though you can make two coins with this special property of entanglement that makes the results of all future measurements correlated (or anticorrelated) in some way. As an information resource you prepare the state and measure it, and after measurement you've broken the entanglement (the interaction with the measurement apparatus fundamentally changes the quantum state; it does so instantaneously for both particles, which is the nonlocal aspect, and you cannot "undo" it).
Getting a bit more realistic, let's presume you've prepared a huge ensemble of entangled paired "quantum coins" (in special opaque boxes that both prevent inadvertent "measurement" and preserve the coherence of their quantum states) and transport (without peeking) one coin of each pair to the moon, leaving one from each pair on Earth. You want to send this signal and start looking at the coins (which you've numbered so that your friends on the moon know the order in which to peek in their boxes). You open box 1 - tails. No problem, you open a few more boxes... heads... heads... tails. OK, this will take a little while, but we've got plenty of coins... T,T,H,H,T,H,T,T,H,H,H At last!
Your confederate starts opening boxes... H,H,T,T,T,H,H,T,H,T,T,H,H,H,H,T,T,H,H,T...
ummm... when do I stop opening boxes? For that matter, when should I start? For simplicity lets assume HHH is the only meaningful code here. I suppose we could assume that every (Earth) day they are to check for the "return home" signal at some agreed-upon time. The problem is that the sequence is utterly random, and while you can be assured that any particular pre-arranged sequence will (eventually) crop up to convey the desired signal, you need an additional signal to tell them that, say, they should only open the first 10 boxes (or boxes 8-10, if your code is a sequence of 3 straight heads).
Note that there is nothing special about your opening the boxes first! If I were your friend on the Moon, I could just look at all of them as soon as I got there (heck, even on the way there) and simply the record the sequence. There's no information in the random sequence until you tell me which part of it includes the message you want me to receive. And that's going to require another communication channel over which the maximum transmission speed is the speed of light in vacuum.
Of course, there are uses for entanglement in quantum computing that exploit the parallelism of multiple particle entanglement. There, the challenges are entangling enough particles to be useful and performing operations faster than the rate at which the entanglement is lost to undesired interactions with their environment. And there are uses in quantum information such as secure encryption key distribution. But nobody has been clever enough to come up with a way to generate FTL communication using entanglement. Quantum mechanics is nonlocal but does not provide a way to do superluminal signaling.
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