Zhu Ling-Hui, Zhu Zhen, Lv Guo-Lin, Ye Chong-Qiang, Chen Xiao-Yu
School of Information and Electrical Engineering, Hangzhou City University, Hangzhou 310015, China.
College of Information Engineering, Zhejiang University of Technology, Hangzhou 310014, China.
Entropy (Basel). 2024 Sep 21;26(9):804. doi: 10.3390/e26090804.
Quantum entanglement is a fundamental characteristic of quantum mechanics, and understanding the robustness of entanglement across different mixed states is crucial for comprehending the entanglement properties of general quantum states. In this paper, the robustness of entanglement of Dicke-W and Greenberger-Horne-Zeilinger (GHZ) mixed states under different mixing ratios is calculated using the entanglement witness method. The robustnesses of entanglement of Dicke-W and GHZ mixed states are different when the probability ratio of Dicke to W is greater than 32 and less than 32. For the probability of Dicke and W states greater than or equal to 32, we study the robustness of entanglement of Dicke and GHZ mixed states and analyze and calculate their upper and lower bounds. For the probability of Dicke and W states less than 32, we take the equal probability ratio of Dicke and W states as an example and calculate and analyze the upper and lower bounds of their robustness of entanglement in detail.
量子纠缠是量子力学的一个基本特征，理解不同混合态下纠缠的鲁棒性对于理解一般量子态的纠缠特性至关重要。本文利用纠缠见证者方法计算了不同混合比下狄克 - W态和格林伯格 - 霍恩 - 泽林格（GHZ）混合态的纠缠鲁棒性。当狄克态与W态的概率比大于32和小于32时，狄克 - W态和GHZ混合态的纠缠鲁棒性不同。对于狄克态和W态的概率大于或等于32的情况，我们研究了狄克态和GHZ混合态的纠缠鲁棒性，并分析计算了它们的上下界。对于狄克态和W态的概率小于32的情况，我们以狄克态和W态的等概率比为例，详细计算分析了它们纠缠鲁棒性的上下界。
