LOTUS: Layer-ordered Temporally Unified Schedules For Quantum Approximate Optimization Algorithms

In this paper, we introduce LOTUS (Layer-Ordered Temporally-Unified Schedules), which is a framework that restructures QAOA from a high-dimensional, chaotic search into a low-dimensional dynamical system. By replacing independent layer-wise angles with a Hybrid Fourier-Autoregressive (HFA) mapping, LOTUS enforces global temporal coherence while maintaining local flexibility. LOTUS consistently outperforms standard optimizers, achieving up to a $27.2\mathrm{\%}$ improvement in expectation values over L-BFGS-B and $20.8\mathrm{\%}$ compared with COBYLA. Besides, our proposed method drastically reduces computational costs, requiring over $90\mathrm{\%}$ fewer iterations than methods like Powell or SLSQP.