  StoqMA characterizes the computational hardness of stoquastic local
Hamiltonians, which is a family of Hamiltonians that does not suffer from the
sign problem. Although error reduction is commonplace for many complexity
classes, such as BPP, BQP, MA, QMA, etc.,this property remains open for StoqMA
since Bravyi, Bessen and Terhal defined this class in 2006. In this note, we
show that error reduction forStoqMA will imply that StoqMA = MA.

Quantum Physics;Computational Complexity