For Hamiltonian families with known generators and hidden parameters, the exact query cost of implementing the inverse is determined by spectral sumset relations and representation-theoretic reduction, yielding polynomial or constant bounds for several many-body families.
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Algebraic Speedups for Exact Inversion of Hamiltonian Evolutions
For Hamiltonian families with known generators and hidden parameters, the exact query cost of implementing the inverse is determined by spectral sumset relations and representation-theoretic reduction, yielding polynomial or constant bounds for several many-body families.