This research offers a comprehensive approach to strengthening both monogamous and polygamous relationships within the context of quantum correlations in multipartite quantum systems. We present the most stringent bounds for both monogamy and polygamy in multipartite systems compared to recently established relations. We show that whenever a bound is given (named it monogamy or polygamy), our bound indexed by some parameter s will always be stronger than the given bound. The study includes detailed examples, highlighting that our findings exhibit greater strength across all existing cases in comparison.

中文翻译：

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加权一夫一妻制和一夫多妻制关系

这项研究提供了一种在多部分量子系统中的量子相关性背景下加强一夫一妻制和一夫多妻制关系的综合方法。我们提出最严格的与最近建立的关系相比，多方制度中一夫一妻制和一夫多妻制的界限。我们证明，每当给定一个界限（将其命名为一夫一妻制或多妻制）时，我们的界限就会由某个参数索引s总是比给定的界限强。该研究包括详细的例子，强调我们的研究结果在所有现有案例中表现出更大的优势。