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    $\begingroup$ I think the question is asking about whether physical quantum computers can perform hypercomputation, not whether there are theoretical models of quantum computation that can do so. As you say, there are non-quantum models of hypercomputation so your answer of "YES" isn't really using "quantumness": it's just saying that there are models of hypercomputation. I don't think that really answers the question. $\endgroup$ Commented Jun 3, 2016 at 8:56