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Thanks for this example, but I think the expanded intermediate representations may be incorrect. For example, on the second, case, after the first Hadamard the article has (the picture has , I think the second should be in the third term) and after the CNOT the article has to the picture's (again, I think the last term should be ). There's a very good chance I misunderstood something, but wanted to check. This gate already confuses me enough without conflicting info :) nlowry (talk) 14:05, 15 October 2019 (UTC)