2026-10-28 · arXiv Quantum Physics
arXiv:2609.05904v2 Announce Type: replace
Abstract: Diffusion sampling is related to imaginary-time quantum annealing through a forward/backward Schr\"odinger equation pair and its one-sided counterdiabatic connection. For a smooth, gapped Score-Hamiltonian path, the exact connection transports the target density at any evolution time. We apply quantum-annealing performance analysis to residuals from approximating this connection with a trained score. If the first $r$ terminal schedule derivatives vanish, the squared Hellinger error scales as $T^{-2r-2}$, with a prefactor determined by the terminal learning residual and inverse gaps. Direct two-dimensional imaginary-time evolution with one fixed neural score reproduces these powers and prefactors. Terminal schedule design thus suppresses the distributional effect of imperfect score learning without retraining the network.
原文链接：https://arxiv.org/abs/2609.05904
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