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arXiv · 0806.0450

On Perfect Completeness for QMA

Scott Aaronson
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Abstract

Whether the class QMA (Quantum Merlin Arthur) is equal to QMA1, or QMA with one-sided error, has been an open problem for years. This note helps to explain why 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 find that there are facts about quantum complexity classes that are classically relativizing but not quantumly relativizing, among them such "trivial" containments as BQP in ZQEXP.

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Scott Aaronson. 2008-08-23. On Perfect Completeness for QMA. https://arxiv.org/abs/0806.0450

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