It seems to me the article is making a big fuss over how the computer answers the question without 'running' because the photon doesn't enter it, but actually all that's happening is the question is being inputted by different means, by 'quantum flirtation' rather than the photon. The scientist says the computer has not run, but in fact it has both run and not run, and it's therefore less surprising that it should have produced an answer (as well as not produced an answer, which presumably you wouldn't notice so much).
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Pretty much