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Tripartite separability of four-qubit W and Dicke mixed state in noise environment
The European Physical Journal Plus ( IF 3.4 ) Pub Date : 2021-07-10 , DOI: 10.1140/epjp/s13360-021-01729-w
Li-li Ge 1 , Miao Xu 1 , Tao Hu 1 , Li-zhen Jiang 1 , Xiao-yu Chen 2
Affiliation  

Quantum entanglement is one of the most important resources in quantum information. A certain degree of white noise will make the entangled state separable, so finding the minimal white noise tolerance of a specific state is important. Based on a detailed study of the tripartite separability of a four-qubit W state mixed with a Dicke state and white noise, we obtain the necessary and (or) sufficient conditions either numerically or analytically. In particular, we give the analytical formula at W state side, our results show that the sufficient condition of tripartite separability agrees with the necessary condition well.



中文翻译:

噪声环境下四量子位W和Dicke混合态的三重可分离性

量子纠缠是量子信息中最重要的资源之一。一定程度的白噪声会使纠缠态可分离,因此找到特定状态的最小白噪声容限很重要。基于对四量子比特 W 态与 Dicke 态和白噪声混合的三方可分性的详细研究,我们通过数值或分析获得了必要和(或)充分条件。特别地,我们给出了 W 状态侧的解析公式,我们的结果表明,三方可分的充分条件与必要条件很好地吻合。

更新日期:2021-07-12
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