二分量子态的解析半设备无关纠缠量化
量子物理
2021-03-24 v3 信息论
math.IT
摘要
我们为 Bell 不等式定义一种称为非退化性的性质，它描述如下情形：在 Bell 设定中，若选定并固定一个 Bell 不等式及所涉及的局域测量，则任意给定维度的量子态与其正交量子态不能同时显著违背该不等式。通过选取适当的非退化 Bell 不等式，我们证明对于给定维度的未知二分量子态，仅基于测量统计即可给出其形成纠缠甚至可蒸馏纠缠的解析下界，使整个过程为半设备无关的。我们刻画了非退化 Bell 不等式的数学结构，并证明许多著名 Bell 不等式是非退化的。我们以基于 qutrit-qutrit 态对 CGLMP 不等式的违背来量化纠缠，展示了我们的方法。
引用
@article{arxiv.1903.05303,
title = {Analytic Semi-device-independent Entanglement Quantification for Bipartite Quantum States},
author = {Zhaohui Wei and Lijinzhi Lin},
journal= {arXiv preprint arXiv:1903.05303},
year = {2021}
}
备注
A mathematical characterization for nondegeneracy Bell inequalities that proves quite a lot of well-known Bell inequalities are nondegenerate was added; A demonstration of our approach that quantifies the entanglement of qutrit-qutrit states based on their violation to the CGLMP inequality was also provided; Comments are welcome