Quantum Mechanics & Parallel Universes: No-Cloning Rule

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So if there are a near infinite number of parallel universes, many people say that one can exist in multiple universes because there are so many one of them is bound to have a copy of you in it. Would the no-cloning rule of quantum mechanics apply here? If there was an exact copy (all the quantum systems are the same) of you in a parallel universe that is a ridiculous number of light years away, would the no-cloning rule not apply, or would the information that there is another clone travel at the speed of light? How would it work - I have no idea.
 
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The no-cloning theorem is not about the possibility of having a copy of yourself in another universe, it is about the possibility of having a unitary evolution of a quantum state in ##H\times H## copy the state of the first Hilbert space to the second regardless of the initial state in the second.
 
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