Using very general arguments, we prove that any entanglement measures based on distance must be maximal on pure states. Furthermore, we show that Bures measure of entanglement and geometric measure of entanglement satisfy the monogamy inequality on all pure multiqubit states. Finally, using the power of Bures measure of entanglement and geometric measure of entanglement, we present a class of tight monogamy relations for pure states of multiqubit systems.

中文翻译：

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基于纯多量子比特状态距离的纠缠度量方面的一夫一妻制不平等

使用非常一般的论据，我们证明任何基于距离的纠缠度量必须在纯态上最大。此外，我们证明了纠缠的 Bures 度量和纠缠的几何度量满足所有纯多量子比特状态上的一夫一妻制不等式。最后，利用Bures 纠缠度量和纠缠几何度量的威力，我们为多量子比特系统的纯状态提出了一类紧密的一夫一妻制关系。