TY - JOUR
T1 - Quantum vs Classical Proofs and Subset Verification
Y1 - 2015
A1 - Bill Fefferman
A1 - Shelby Kimmel
AB - We study the ability of efficient quantum verifiers to decide properties of exponentially large subsets given either a classical or quantum witness. We develop a general framework that can be used to prove that QCMA machines, with only classical witnesses, cannot verify certain properties of subsets given implicitly via an oracle. We use this framework to prove an oracle separation between QCMA and QMA using an ``in-place'' permutation oracle, making the first progress on this question since Aaronson and Kuperberg in 2007. We also use the framework to prove a particularly simple standard oracle separation between QCMA and AM.
UR - http://arxiv.org/abs/1510.06750
ER -