  It is a long-standing open question to construct a classical oracle relative
to which BQP/qpoly $\neq$ BQP/poly or QMA $\neq$ QCMA. In this paper, we
construct classically-accessible classical oracles relative to which BQP/qpoly
$\neq$ BQP/poly and QMA $\neq$ QCMA. Here, classically-accessible classical
oracles are oracles that can be accessed only classically even for quantum
algorithms. Based on a similar technique, we also show an alternative proof for
the separation of QMA and QCMA relative to a distributional
quantumly-accessible classical oracle, which was recently shown by Natarajan
and Nirkhe.
