On Perfect Completeness for QMA
Quantum Physics
2008-08-23 v3
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.
Cite
@article{arxiv.0806.0450,
title = {On Perfect Completeness for QMA},
author = {Scott Aaronson},
journal= {arXiv preprint arXiv:0806.0450},
year = {2008}
}
Comments
9 pages. To appear in Quantum Information & Computation