发表机构
Federal University of Rio Grande do Norte; International Institute of Physics; University of Copenhagen（北里奥格兰德联邦大学; 国际物理研究所; 哥本哈根大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究将面积律量子态分为纠缠主导与魔力主导两类，前者对魔力呈面积律且可高效操控纠缠，后者魔力超面积增长且操控非高效，并提出稳定化子区间概念。
AI 中文摘要
物理多体量子系统通常具有局部相互作用，这导致基态中纠缠随所探测区域的面积增长。除纠缠外，非稳定化子性（或称“魔力”）已被确立为与量子复杂性和纠错态性质相关的另一关键资源。与纠缠不同，非稳定化子性在基态中通常表现为体积律缩放，这表明其固有的计算复杂性。在本工作中，我们证明，在近期对量子态的分类下，面积律态可分为两个不同的类别。纠缠主导态对非稳定化子性遵循面积律，并允许对纠缠操控采用高效的量子算法。相反，魔力主导态表现出子系统非稳定化子性的超面积增长，并且需要非高效算法来处理纠缠操控任务。在此背景下，我们引入了稳定化子区间的概念，这是一个受限的量子相，它允许高效的纠缠操控，并且对魔力和纠缠均具有面积律。
英文摘要
Physical many-body quantum systems typically interact locally, giving rise to ground states where entanglement grows with the area of the region being probed. Beyond entanglement, non-stabilizerness (or "magic") has been established as another crucial resource linked to quantum complexity and the properties of error-correcting states. Unlike entanglement, non-stabilizerness typically behaves with a volume-law scaling in ground states, indicating inherent computational complexity. In this work, we show that under a recent classification of quantum states, area-law states split into two distinct classes. Entanglement-dominated states obey an area-law for non-stabilizerness and admit efficient quantum algorithms for entanglement manipulation. Conversely, magic-dominated states exhibit a a faster-than-area growth of subsystem non-stabilizerness and require non-efficient algorithms for entanglement manipulation tasks. Within this context, we introduce the concept of the stabilizer regime, a restricted quantum phase that admits efficient entanglement manipulation and hosts area laws for both magic and entanglement.
Comments20 pages, 2 figures
