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arXiv:2312.15683 · Quantum Information Processing

Polygamy relations for tripartite and multipartite quantum systems

Yanying Liang, Haozhen Situ, Zhu‐Jun Zheng

Published Nov 26, 2024• 2 citations
arXivHTMLPDF
DOI
10.1007/s11128-024-04597-2

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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.