{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,3]],"date-time":"2025-12-03T18:08:36Z","timestamp":1764785316329,"version":"build-2065373602"},"reference-count":43,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,1,31]],"date-time":"2024-01-31T00:00:00Z","timestamp":1706659200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China (NSFC)","award":["12075159","12171044"],"award-info":[{"award-number":["12075159","12171044"]}]},{"name":"Academician Innovation Platform of Hainan Province","award":["12075159","12171044"],"award-info":[{"award-number":["12075159","12171044"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The monogamy property of entanglement is an intriguing feature of multipartite quantum entanglement. Most entanglement measures satisfying the monogamy inequality have turned out to be convex. Whether nonconvex entanglement measures obey the monogamy inequalities remains less known at present. As a well-known measure of entanglement, the logarithmic negativity is not convex. We elucidate the constraints of multi-qubit entanglement based on the logarithmic convex-roof extended negativity (LCREN) and the logarithmic convex-roof extended negativity of assistance (LCRENoA). Using the Hamming weight derived from the binary vector associated with the distribution of subsystems, we establish monogamy inequalities for multi-qubit entanglement in terms of the \u03b1th-power (\u03b1\u22654ln2) of LCREN, and polygamy inequalities utilizing the \u03b1th-power (0\u2264\u03b1\u22642) of LCRENoA. We demonstrate that these inequalities give rise to tighter constraints than the existing ones. Furthermore, our monogamy inequalities are shown to remain valid for the high-dimensional states that violate the CKW monogamy inequality. Detailed examples are presented to illustrate the effectiveness of our results in characterizing the multipartite entanglement distributions.<\/jats:p>","DOI":"10.3390\/e26020127","type":"journal-article","created":{"date-parts":[[2024,1,31]],"date-time":"2024-01-31T08:44:06Z","timestamp":1706690646000},"page":"127","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7273-7867","authenticated-orcid":false,"given":"Zhongxi","family":"Shen","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China"}]},{"given":"Dongping","family":"Xuan","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China"}]},{"given":"Wen","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China"}]},{"given":"Zhixi","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2412-8626","authenticated-orcid":false,"given":"Shao-Ming","family":"Fei","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China"},{"name":"Max-Planck-Institute for Mathematics in the Sciences, 04103 Leipzig, Germany"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2881","DOI":"10.1103\/PhysRevLett.69.2881","article-title":"Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states","volume":"69","author":"Bennett","year":"1992","journal-title":"Phys. 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