The paper asserts, with an unfinished proof, that deciding whether a 2-local Hamiltonian has a low-energy state preparable by a small quantum circuit is QCMA-complete.
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2-Local Hamiltonian with Low Complexity is QCMA
The paper asserts, with an unfinished proof, that deciding whether a 2-local Hamiltonian has a low-energy state preparable by a small quantum circuit is QCMA-complete.