Tighter monogamy and polygamy relations in multiparty quantum systems

Quantum Physics [Submitted on 13 Mar 2026] Tighter monogamy and polygamy relations in multiparty quantum systems Chenxiao Wang, Limin Gao The monogamy and polygamy properties of quantum entanglement characterize fundamental constraints on the distribution of entanglement in multipartite quantum systems. In this paper, we investigate tighter monogamy and polygamy relations for multipartite entanglement. By establishing a new mathematical inequality, we derive a family of improved monogamy and polygamy inequalities for tripartite quantum systems and further extend these results to general multipartite systems. Comparisons with existing results show that the obtained bounds are tighter. Illustrative examples are provided to demonstrate the effectiveness of the proposed relations. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.12539 [quant-ph]   (or arXiv:2603.12539v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2603.12539 Focus to learn more Submission history From: Limin Gao Ph.D. [view email] [v1] Fri, 13 Mar 2026 00:37:54 UTC (24 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)