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Why can`t quantumly entangled particles used to transfer information? We can set up a key for different eigenstates and each eigenstate will denote an information. So we can almost instantaneously transfer information over long distances. This seems to violate the theory of relativity. So what is the flaw, the theory of relativity or sharing information using quantum entanglement?

Why can`t quantumly entangled particles used to transfer information? We can set up a key for different eigenstates and each eigenstate will denote an information. So we can almost instantaneously transfer information over long distances. This seems to violate the theory of relativity. So what is the flaw, the theory of relativity or sharing information using quantum entanglement?

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