We derive criterion in the form of inequality based on quantum Fisher information and quantum variance to detect multipartite entanglement. It can be regarded as complementary of the well-established PPT criterion in the sense that it can also detect bound entangled states. The inequality is motivated by Y.Akbari-Kourbolagh $et\ al.$[Phys. Rev A. 99, 012304 (2019)] which introduced a multipartite entanglement criterion based on quantum Fisher information. Our criterion is experimentally measurable for detecting any $N$-qudit pure state mixed with white noisy. We take several examples to illustrate that our criterion has good performance for detecting certain entangled states.

中文翻译：

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基于量子Fisher信息和方差的充分纠缠判据

我们基于量子Fisher信息和量子方差以不等式的形式推导出标准来检测多部分纠缠。它可以被视为完善的 PPT 标准的补充，因为它也可以检测束缚纠缠态。不等式是由 Y.Akbari-Kourbolagh $et\ al.$[Phys. Rev A. 99, 012304 (2019)] 介绍了基于量子 Fisher 信息的多部分纠缠标准。我们的标准在实验上是可测量的，用于检测任何混合有白噪声的 $N$-qudit 纯状态。我们举几个例子来说明我们的标准在检测某些纠缠状态方面具有良好的性能。