![]() Your objections based on inner products are so specious they are actually suspect. Noether’s theorem, which she formulated in 1915, says that symmetries in the universe give. by assuming that there exists a unitary $\hat|1\rangle$ to copy. Emmy Noether was a mathematician who discovered perhaps the most profound idea in contemporary physics. That it is impossible to create an identical copy of an arbitrary unknown quantum state.Īs far as I am aware the theorem is usually proofen by contradiction, i.e. ![]() The no-cloning theorem states according to Wikipedia
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