2-local Hamiltonians with positive-weight symmetric terms fall into QMA-complete, StoqMA-complete, or EPR*-reducible phases, with EPR* conjectured to lie in BPP as the transition between easy and hard instances.
We do this by representing the observables in thebbasis
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A complexity phase transition at the EPR Hamiltonian
2-local Hamiltonians with positive-weight symmetric terms fall into QMA-complete, StoqMA-complete, or EPR*-reducible phases, with EPR* conjectured to lie in BPP as the transition between easy and hard instances.