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Preprint Oct 2026

Adiabatic tracking and optimal schedules for classical and quantum Gibbs-state preparation

We develop a discrete adiabatic framework for Gibbs-state preparation in classical and quantum optimisation algorithms. For finite time-inhomogeneous reversible Markov chains, we derive a tracking theorem that bounds the distance from the evolving distribution to the instantaneous stationary state by combining two effe...

Pedro C. S. Costa, Mauro E. S. Morales, Dong An et al. · 0 citations
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

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