Kim Jeong San
Department of Applied Mathematics and Institute of Natural Sciences, Kyung Hee University, Yongin-si, Gyeonggi-do, 446-701, Korea.
Sci Rep. 2021 Jan 27;11(1):2364. doi: 10.1038/s41598-021-82052-3.
We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical-classical-quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices of a three-party quantum state, we show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF. After illustrating the result with some examples, we generalize our result of three-party systems into any multi-party systems of arbitrary dimensions.
我们根据形成纠缠给出了任意维度多方量子纠缠一夫一妻制不等式的充分条件。基于经典 - 经典 - 量子（ccq）态，其量子部分是从三方量子态的两方约化密度矩阵得到的，我们证明了ccq态互信息的可加性保证了三方纯态在形成纠缠方面的一夫一妻制不等式。在用一些例子说明结果之后，我们将三方系统的结果推广到任意维度的任何多方系统。
