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In this paper, we ask the quantum counterpart of this question: Given the quantum coin $|p\\rangle=\\sqrt{p}|0\\rangle+\\sqrt{1-p}|1\\rangle$, can we exactly simulate another quantum coin $|f(p)\\rangle=\\sqrt{f(p)}|0\\rangle+\\sqrt{1-f(p)}|1\\rangle$? 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