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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

Fast-forwarding quantum algorithms for weakly nonlinear dissipative differential equations and beyond

We study a fast-forwarded quantum algorithm for solving weakly nonlinear dissipative ordinary differential equations. Our approach is a combination of the Carleman embedding technique and the linear combination of Hamiltonian simulation algorithm for linearized systems with fast-forwarded scaling. The complexity of our...

Yi-Xiang Li, Dong An · 0 citations

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