FinITE gives an exact identity linking LCU success probability to ground-subspace fidelity for diagonal Pauli-Z Hamiltonians, yielding a closed-form imaginary-time threshold beta-star based on spectral gap and initial overlap estimates.
Linear-depth quantum circuits for mul- tiqubit controlled gates
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Finite Imaginary-Time Evolution for Polynomial Unconstrained Binary Optimization
FinITE gives an exact identity linking LCU success probability to ground-subspace fidelity for diagonal Pauli-Z Hamiltonians, yielding a closed-form imaginary-time threshold beta-star based on spectral gap and initial overlap estimates.