Stoquastic Sparse Hamiltonians is StoqMA-complete and its separable version is StoqMA(2)-complete.
Termwise versus globally stoquastic local hamiltonians: questions of complexity and sign-curing
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StoqMA(2) contains NP with Õ(√n)-qubit proofs and completeness error 2^{-polylog(n)}, is contained in EXP, and satisfies StoqMA(k)=StoqMA(2) for k≥2 when completeness error is negligible.
RFOX maintains a flat spectral gap via non-stoquastic XX catalyst plus analytic counter-diabatic ZX driving, yielding near-optimal solutions on random-field Ising models with up to 10x fewer Trotter steps.
The 2-local stoquastic Hamiltonian problem on 2D square qubit lattices is StoqMA-complete.
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RFOX (Rotated-Field Oscillatory eXchange) quantum algorithm: Towards Parameter-Free Quantum Optimizers
RFOX maintains a flat spectral gap via non-stoquastic XX catalyst plus analytic counter-diabatic ZX driving, yielding near-optimal solutions on random-field Ising models with up to 10x fewer Trotter steps.