通过矩项检测量子态与信道的非绝对可分离性
量子物理
2026-02-13 v2
摘要
在量子信息与计算领域，通过单位门实现纠缠的生成仍是重要且活跃的研究方向。然而，存在称为绝对可分离态的状态，通过任何非局域单位作用都无法生成纠缠。因此，从资源论的视角，非绝对可分离态因其可通过某些合适的单位门转化为纠缠态而具有重要价值。本文提出了一种高效的方法用于检测非绝对可分离态。该方法依赖于计算矩项，这使我们无需进行完整的状态测 tomography，从而提高了其实际应用性。我们随后给出若干实例以支持检测方案。我们还解决了一个关于其部分转置在任何任意非局域单位作用下仍保持正性的状态的相关问题。 Furthermore, we examine the effectiveness of our moment-based approach in the detection of quantum channels that are not absolutely separating, which entails the detection of resource preserving channels. Finally, we demonstrate the operational significance of non-absolutely separable states by proving that every such state can provide an advantage in a quantum-channel discrimination task.
引用
@article{arxiv.2508.15700,
title = {Detection of nonabsolute separability in quantum states and channels through moments},
author = {Bivas Mallick and Saheli Mukherjee and Nirman Ganguly and A. S. Majumdar},
journal= {arXiv preprint arXiv:2508.15700},
year = {2026}
}
备注
16 pages, 2 figure, Close to published version