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Preprint Aug 2026

Quantum simulation of slow analytic time-dependent Hamiltonians

We develop a quantum algorithm for slow analytic Hamiltonians $\widetilde H(t)=H(t/T)$ with $\|H(s)\|\leq\alpha$ that achieves nearly additive query complexity and low gate overhead. Our main technical contribution is a periodic Gevrey extension of $H(s)$, together with Fourier component decay and truncation bounds tha...

Chen Zhao, Yinan Li, Dong An · 3 citations · ⚡1
Preprint Aug 2026

A quantum-assisted framework for PDE-based Bayesian inverse problems

A quantum-classical hybrid framework for Bayesian PDE inversion problems: the quantum processor evolves the PDE and evaluates the loss function with sampling noises, while the classical computer tunes the hyper-parameters in the Gaussian Process Regression to explore the next trial candidate.

Dong An, Yinan Li, Pucheng Tang et al. · 0 citations

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