dorsal/arxiv
View SchemaLOTUS: Layer-ordered Temporally Unified Schedules For Quantum Approximate Optimization Algorithms
| Authors | Phuong-Nam Nguyen |
|---|---|
| Categories | |
| ArXiv ID | 2601.07851vv1 |
| URL | https://arxiv.org/abs/2601.07851 |
| License | http://creativecommons.org/licenses/by-nc-sa/4.0/ |
Abstract
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 $27.2\%$ improvement in expectation values over L-BFGS-B and $20.8\%$ compared with COBYLA. Besides, our proposed method drastically reduces computational costs, requiring over $90\%$ fewer iterations than methods like Powell or SLSQP.
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"abstract": "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 $27.2\\%$ improvement in expectation values over L-BFGS-B and $20.8\\%$ compared with COBYLA. Besides, our proposed method drastically reduces computational costs, requiring over $90\\%$ fewer iterations than methods like Powell or SLSQP.",
"arxiv_id": "2601.07851",
"authors": [
"Phuong-Nam Nguyen"
],
"categories": [
"quant-ph"
],
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
"title": "LOTUS: Layer-ordered Temporally Unified Schedules For Quantum Approximate Optimization Algorithms",
"url": "https://arxiv.org/abs/2601.07851",
"version": "v1"
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