In an explanation to distinguish the Heisenberg Uncertainty Principle from the Observer Effect, on p. 89 of "Quantum Computation and Quantum Information", Nielsen and Chuang start by writing:(adsbygoogle = window.adsbygoogle || []).push({});

"The correct interpretation of the uncertainty principle is that if we prepare a large number of quantum systems in identical states....."

However, according to the no-cloning theorem, we cannot perfectly copy an arbitrarily chosen unknown quantum state. So, do the authors mean "...if we were able to prepare (although in reality we cannot) a large number...." or "....if it happened that there were a large number of quantum systems in identical states and we knew that without measurement (which would collapse the states)...." Seems almost metaphysical to me, but maybe I am misinterpreting what Nielsen and Chuang meant, or maybe I am misinterpreting the no-cloning theorem, or maybe I am misapplying.

Any help would be appreciated.

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# No-cloning and uncertainty principle

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