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Zero-Energy Problems for Supersymmetric Hamiltonians on a Chain Are $\mathrm{QMA}_1$-Complete
We study exact zero modes of supersymmetric quantum systems whose interactions are arranged on a one-dimensional chain. For Hermitian supercharges, deciding whether a zero mode exists is $\mathrm{QMA}_1$-complete, and the hard instances are geometrically local on a chain. We also classify an explici
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