发表机构
Lund University（隆德大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究高维多体系统中的超单态，证明其纠缠特性对噪声鲁棒，开发认证方法，并展示其在量子传感中实现海森堡标度的潜力。
AI 中文摘要
高维粒子的多体系统可以承载量子比特系统无法获得的量子纠缠形式。一个特别引人注目的类别是由完全反对称态（也称为超单态）构成的，它们具有显著对称性：在任意集体局域幺正变换下保持不变。在这里，我们探索了它们的纠缠性质并确立了其量子信息应用。通过凸优化，我们证明了超单态的中心纠缠特征对噪声具有显著的鲁棒性，在某些放宽条件下大幅超越了几种典型纠缠态的鲁棒性。然后，我们开发了基于集体自旋或随机测量的见证方法，以认证其纠缠的深度和维度。最后，我们将超单态确定为高维梯度传感的天然资源，并证明它们能够实现海森堡标度。综合这些结果，超单态被揭示为一类异常鲁棒且多用途的多体纠缠态，将引人注目的对称性和强纠缠与量子传感的具体潜力相结合。
英文摘要
Multipartite systems of high-dimensional particles can host forms of quantum entanglement inaccessible to qubit systems. A particularly fascinating class is formed by the fully antisymmetric states, also known as supersinglets, which possess a remarkable symmetry: they are invariant under arbitrary collective local unitaries. Here, we explore their entanglement properties and establish their quantum information applications. Using convex optimisation, we show that central entanglement features of supersinglets are remarkably robust to noise, substantially surpassing the robustness of several paradigmatic entangled states under certain relaxations. We then develop witness methods, based on collective-spin or randomised measurements, that certify both the depth and dimensionality of their entanglement. Finally, we identify supersinglets as a natural resource for high-dimensional gradient sensing and prove that they enable Heisenberg scaling. Together, these results reveal supersinglets as an exceptionally robust and versatile class of multipartite entangled states, combining striking symmetry and strong entanglement with concrete potential for quantum sensing.
