Entanglement carrying data variant

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The discussion centers on the concept of quantum entanglement and its implications for data transfer between entangled particles. The user posits a scenario where Alice and Bob, sharing a singlet state, could coordinate actions based on measurement outcomes, despite the inherent randomness of quantum measurements. The conclusion drawn is that while Alice's measurement does not allow for direct communication of data to Bob, it enables a form of coordination that does not constitute information transfer, reaffirming the principle that entanglement does not carry data.

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valleyman
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I know this might has be posted a lot of times and I should know why entanglement doesn't carry data but this time I've thought something different.
I know that if Alice and Bob share a singlet state and Alice measures her particle' spin she can't communicate anything to Bob because she can't determine what value she will measure so there shouldn't be any data transfer. But what if Alice says before to Bob "measure ur particle after i measure mine, if ur result will be UP (therefore mine will be DOWN) I'll kill Schrödinger's cat, in the other case if your measurement will be DOWN i won't kill it".
So even if she can't determine her future action Bob is allowed to know what's happening on Alice's side *istantaneously*. This isn't like Bob tossing a coin, because even if the result of the measurement is random on Alice's side, Bob will know with absolute certainty Alice's actions.

Where am I wrong?
 
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In that case, its the same as if they flipped a coin, didn't look at the result---but both took pictures of the result, and looked at them separately once they were further apart... you're not getting any information transfer from it, it just coordination.
 

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