论文标题

量子纠缠一夫一妻制

Monogamy of quantum entanglement

论文作者

Zong, Xiao-Lan, Yin, Hao-Hao, Song, Wei, Cao, Zhuo-Liang

论文摘要

与经典的相关性不同,量子纠缠不能在许多各方之间自由共享。多方系统中这种纠缠的共享性有限,被称为一夫一妻制的纠缠,这是纠缠最基本的属性之一。在这里,我们总结了一夫一妻制纠缠领域的最新理论进步。我们首先根据各种纠缠措施来审查标准CKW型一夫一妻制的不平等现象。特别是,对于任意维度系统而言,南瓜纠缠和单向蒸馏的纠缠是一夫一妻制的。然后,我们介绍了一些一夫一妻制的不平等版本的广义版本,这些不平等扩展和锐化了传统的不平等。我们还考虑了多方系统的双重一夫多妻制不平等。此外,我们提出了两个新的定义,以定义纠缠的一夫一妻制。最后,强调了一夫一妻制的一些挑战和未来的方向。

Unlike classical correlation, quantum entanglement cannot be freely shared among many parties. This restricted shareability of entanglement among multi-party systems is known as monogamy of entanglement, which is one of the most fundamental properties of entanglement. Here, we summarize recent theoretical progress in the field of monogamy of entanglement. We firstly review the standard CKW-type monogamy inequalities in terms of various entanglement measures. In particular, the squashed entanglement and one-way distillable entanglement are monogamous for arbitrary dimensional systems. We then introduce some generalized version of monogamy inequalities which extend and sharpen the traditional ones. We also consider the dual polygamy inequalities for multi-party systems. Moreover, we present two new definitions to define monogamy of entanglement. Finally, some challenges and future directions for monogamy of entanglement are highlighted.

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