A classical oracle is built such that a language is in QMA1 but not in QCMA under polynomially adaptive rounds and exponential parallel queries, plus a derandomized in-place separation.
Classical vs quantum advice and proofs under classically-accessible oracle
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En Route to a Standard QMA1 vs. QCMA Oracle Separation
A classical oracle is built such that a language is in QMA1 but not in QCMA under polynomially adaptive rounds and exponential parallel queries, plus a derandomized in-place separation.