论文标题
多明量子互信息的完全一夫一妻制
Complete monogamy of the multipartite quantum mutual information
论文作者
论文摘要
量子相互信息（QMI）不仅显示系统中的相互信息，而且还显示了超出纠缠的某些量子相关性。我们在这里探索基于冯·诺伊曼（Von Neumann）熵的多部分量子相互信息（MQMI）的两个替代方法，该替代是根据多粒子量子系统的完整度量的框架。我们证明，这两个MQMI是完整的，在纯状态下一夫一妻制，其中一个不仅是一夫一妻制，而且是紧密完整的一夫一妻制，而另一个则不是。此外，我们通过用前两个tasllis $ q $ entropy代替von Neumann熵来介绍另外两个MQMI。事实证明，其中一个显示了一定程度的``完整性''作为多粒子量子系统的量度，但另一个甚至不是不负的，因此不能是MQMI的替代方案。我们还讨论了这三个MQMI替代方案的三角关系。结果表明，前两个MQMI的三角不平等现象是纠缠措施的三角形不平等，但后来的一个失败了。相比之下，我们发现，当我们表征多粒子系统中的量子相关性时，von Neumann熵比其他版本的熵更好。
Quantum mutual information (QMI) not only displays the mutual information in the system but also demonstrates some quantum correlation beyond entanglement. We explore here the two alternatives of multipartite quantum mutual information (MQMI) based on the von Neumann entropy according to the framework of the complete measure of multi-particle quantum system. We show that these two MQMI are complete, monogamous on pure states, and one of them is not only completely monogamous but also tightly complete monogamous while another one is not. Moreover, we present another two MQMI by replacing the von Neumann entropy with the Tasllis $q$-entropy from the former two ones. It is proved that one of them displays some degree of ``completeness'' as a measure of multi-particle quantum system, but the other one is not even non-negative and thus it can not be a alternative of MQMI. We also discuss the triangle relation for these three alternatives of MQMI. It is shown that the triangle inequalities hold for the former two MQMI as that of entanglement measure but the later one fails. By comparison, we found that the von Neumann entropy is better than other versions of entropy as desired when we characterize the quantum correlation in multi-particle system.
