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Whether the class QMA (Quantum Merlin Arthur) is equal to QMA1, or QMA withone-sided error, has been an open problem for years. This note helps to explainwhy the problem is difficult, by using ideas from real analysis to give a"quantum oracle" relative to which they are different. As a byproduct, we findthat there are facts about quantum complexity classes that are classicallyrelativizing but not quantumly relativizing, among them such "trivial"containments as BQP in ZQEXP.

On Perfect Completeness for QMA