AI 中文总结
该研究对比非对称N量子比特W态退相干中网络几何与激发扇区对两体纠缠的影响，推导噪声模型下的并发度动力学，明确两者为纠缠鲁棒性的独立控制要素。
AI 中文摘要
我们研究网络几何结构与激发扇区如何分别控制非对称多体W态中的两体纠缠衰减。为区分这些效应，我们引入了非对称Lohmayer几何的可解析处理N量子比特推广形式，及其互补激发伙伴，得到了等价的顶点-基（VB）和基-基（BB）对类别，可与对称W态参考直接比较。我们推导了典型单侧噪声模型下的闭式并发度动力学，发现无论在哪个激发扇区内，VB并发度的噪声依赖关系与对应的对称参考完全相同，在两者均保持纠缠的区域保留与噪声无关的比例优势。因此，此前在三量子比特Lohmayer态中识别的振幅阻尼重排序是跨扇区效应，而非VB几何的固有脆弱性。相比之下，BB对表现出真正的同扇区结构脆弱性，在去极化噪声下其纠缠突然死亡阈值低于VB对，且在(N-1)激发扇区的振幅阻尼下亦是如此。该结果确立了网络几何结构、激发扇区和噪声对称性是控制非对称量子网络中两体纠缠鲁棒性的不同要素。
英文摘要
We investigate how network geometry and excitation sector separately control pairwise entanglement decay in asymmetric multipartite $W$ states. To disentangle these effects, we introduce an analytically tractable $N$-qubit generalization of the asymmetric Lohmayer geometry and its complementary-excitation partner, yielding inequivalent vertex-base (VB) and base-base (BB) pair classes that can be compared directly with symmetric $W$-state references. We derive closed-form concurrence dynamics under representative one-sided noise models and find that, within either excitation sector, the VB concurrence has exactly the same noise dependence as the corresponding symmetric reference, preserving a noise-independent proportional advantage wherever both remain entangled. The amplitude-damping reordering previously identified for the three-qubit Lohmayer state is therefore a cross-sector effect rather than an intrinsic fragility of the VB geometry. In contrast, the BB pair exhibits a genuine same-sector structural fragility, with lower entanglement-sudden-death thresholds than the VB pair under depolarizing noise and, in the $(N-1)$-excitation sector, under amplitude damping. The results establish network geometry, excitation sector, and noise symmetry as distinct ingredients governing pairwise entanglement robustness in asymmetric quantum networks.
