基于 - 并发度的参数化多体纠缠与真纠缠度量

Parameterized Multipartite Entanglement and Genuine Entanglement Measures Based on -Concurrence.

作者信息

Ma Pan-Wen, Zhao Hui, Fei Shao-Ming, Zhang Mei-Ming, Wang Zhi-Xi

机构信息

School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China.

School of Mathematical Sciences, Capital Normal University, Beijing 100048, China.

出版信息

Entropy (Basel). 2024 Jun 22;26(7):535. doi: 10.3390/e26070535.

DOI:10.3390/e26070535

PMID:39056898

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11276286/

Abstract

We study genuine multipartite entanglement (GME) and multipartite -entanglement based on -concurrence. Well-defined parameterized GME measures and measures of multipartite -entanglement are presented for arbitrary dimensional -partite quantum systems. Our GME measures show that the GHZ state is more entangled than the state. Moreover, our measures are shown to be inequivalent to the existing measures according to entanglement ordering. Detailed examples show that our measures characterize the multipartite entanglement finer than some existing measures, in the sense that our measures identify the difference of two different states while the latter fail.

摘要

我们研究了真正的多方纠缠（GME）以及基于并发度的多方纠缠。针对任意维度的多方量子系统，给出了定义明确的参数化GME度量和多方纠缠度量。我们的GME度量表明，GHZ态比态具有更强的纠缠。此外，根据纠缠排序，我们的度量被证明与现有度量不等价。详细的例子表明，从我们的度量能够识别两个不同态的差异而现有度量无法做到这一点的意义上来说，我们的度量比一些现有度量更能精细地表征多方纠缠。