{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T17:45:20Z","timestamp":1773942320211,"version":"3.50.1"},"reference-count":24,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,6,22]],"date-time":"2024-06-22T00:00:00Z","timestamp":1719014400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key R&amp;D Program of China","award":["2022YFB3806000"],"award-info":[{"award-number":["2022YFB3806000"]}]},{"name":"National Key R&amp;D Program of China","award":["12272011"],"award-info":[{"award-number":["12272011"]}]},{"name":"National Key R&amp;D Program of China","award":["12075159"],"award-info":[{"award-number":["12075159"]}]},{"name":"National Key R&amp;D Program of China","award":["12126351"],"award-info":[{"award-number":["12126351"]}]},{"name":"National Key R&amp;D Program of China","award":["12171044"],"award-info":[{"award-number":["12171044"]}]},{"name":"National Natural Science Foundation of China","award":["2022YFB3806000"],"award-info":[{"award-number":["2022YFB3806000"]}]},{"name":"National Natural Science Foundation of China","award":["12272011"],"award-info":[{"award-number":["12272011"]}]},{"name":"National Natural Science Foundation of China","award":["12075159"],"award-info":[{"award-number":["12075159"]}]},{"name":"National Natural Science Foundation of China","award":["12126351"],"award-info":[{"award-number":["12126351"]}]},{"name":"National Natural Science Foundation of China","award":["12171044"],"award-info":[{"award-number":["12171044"]}]},{"name":"specific research fund of the Innovation Platform for Academicians of Hainan Province","award":["2022YFB3806000"],"award-info":[{"award-number":["2022YFB3806000"]}]},{"name":"specific research fund of the Innovation Platform for Academicians of Hainan Province","award":["12272011"],"award-info":[{"award-number":["12272011"]}]},{"name":"specific research fund of the Innovation Platform for Academicians of Hainan Province","award":["12075159"],"award-info":[{"award-number":["12075159"]}]},{"name":"specific research fund of the Innovation Platform for Academicians of Hainan Province","award":["12126351"],"award-info":[{"award-number":["12126351"]}]},{"name":"specific research fund of the Innovation Platform for Academicians of Hainan Province","award":["12171044"],"award-info":[{"award-number":["12171044"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We study genuine multipartite entanglement (GME) and multipartite k-entanglement based on q-concurrence. Well-defined parameterized GME measures and measures of multipartite k-entanglement are presented for arbitrary dimensional n-partite quantum systems. Our GME measures show that the GHZ state is more entangled than the W state. Moreover, our measures are shown to be inequivalent to the existing measures according to entanglement ordering. Detailed examples show that our measures characterize the multipartite entanglement finer than some existing measures, in the sense that our measures identify the difference of two different states while the latter fail.<\/jats:p>","DOI":"10.3390\/e26070535","type":"journal-article","created":{"date-parts":[[2024,6,24]],"date-time":"2024-06-24T08:42:03Z","timestamp":1719218523000},"page":"535","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Parameterized Multipartite Entanglement and Genuine Entanglement Measures Based on q-Concurrence"],"prefix":"10.3390","volume":"26","author":[{"given":"Pan-Wen","family":"Ma","sequence":"first","affiliation":[{"name":"School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1665-598X","authenticated-orcid":false,"given":"Hui","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, 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"}]},{"given":"Mei-Ming","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China"}]},{"given":"Zhi-Xi","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1103\/RevModPhys.81.865","article-title":"Quantum entanglement","volume":"81","author":"Horodecki","year":"2009","journal-title":"Rev. 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