{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T21:42:26Z","timestamp":1774474946930,"version":"3.50.1"},"reference-count":46,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2022,10,19]],"date-time":"2022-10-19T00:00:00Z","timestamp":1666137600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,10,19]],"date-time":"2022-10-19T00:00:00Z","timestamp":1666137600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12071110"],"award-info":[{"award-number":["12071110"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-022-03706-3","type":"journal-article","created":{"date-parts":[[2022,10,19]],"date-time":"2022-10-19T04:02:46Z","timestamp":1666152166000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Tighter monogamy relations in multiparty quantum systems"],"prefix":"10.1007","volume":"21","author":[{"given":"Hui","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6290-7885","authenticated-orcid":false,"given":"Ting","family":"Gao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fengli","family":"Yan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,10,19]]},"reference":[{"key":"3706_CR1","doi-asserted-by":"publisher","first-page":"2046","DOI":"10.1103\/PhysRevA.53.2046","volume":"53","author":"CH Bennett","year":"1996","unstructured":"Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Concentrating partial entanglement by local operations. Phys. Rev. A 53, 2046 (1996)","journal-title":"Phys. Rev. A"},{"key":"3706_CR2","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1147\/rd.481.0071","volume":"48","author":"BM Terhal","year":"2004","unstructured":"Terhal, B.M.: Is entanglement monogamous? IBM J. Res. Dev. 48, 71 (2004)","journal-title":"IBM J. Res. Dev."},{"key":"3706_CR3","doi-asserted-by":"publisher","first-page":"865","DOI":"10.1103\/RevModPhys.81.865","volume":"81","author":"R Horodecki","year":"2009","unstructured":"Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81, 865 (2009)","journal-title":"Rev. Mod. Phys."},{"key":"3706_CR4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.74.022317","volume":"74","author":"JM Renes","year":"2006","unstructured":"Renes, J.M., Grassl, M.: Generalized decoding, effective channels, and simplified security proofs in quantum key distribution. Phys. Rev. A 74, 022317 (2006)","journal-title":"Phys. Rev. A"},{"key":"3706_CR5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.82.032313","volume":"82","author":"M Paw\u0142owski","year":"2010","unstructured":"Paw\u0142owski, M.: Security proof for cryptographic protocols based only on the monogamy of Bell\u2019s inequality violations. Phys. Rev. A 82, 032313 (2010)","journal-title":"Phys. Rev. A"},{"key":"3706_CR6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.042324","volume":"93","author":"YH Zhou","year":"2016","unstructured":"Zhou, Y.H., Yu, Z.W., Wang, X.B.: Making the decoy-state measurement-device-independent quantum key distribution practically useful. Phys. Rev. A 93, 042324 (2016)","journal-title":"Phys. Rev. A"},{"key":"3706_CR7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.102.140501","volume":"102","author":"L Masanes","year":"2009","unstructured":"Masanes, L.: Universally composable privacy amplification from causality constraints. Phys. Rev. Lett. 102, 140501 (2009)","journal-title":"Phys. Rev. Lett."},{"key":"3706_CR8","doi-asserted-by":"publisher","first-page":"2383","DOI":"10.1103\/PhysRevA.57.2383","volume":"57","author":"BA Slutsky","year":"1998","unstructured":"Slutsky, B.A., Rao, R., Sun, P.C., Fainman, Y.: Security of quantum cryptography against individual attacks. Phys. Rev. A 57, 2383 (1998)","journal-title":"Phys. Rev. A"},{"key":"3706_CR9","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1038\/nphys1919","volume":"7","author":"XS Ma","year":"2011","unstructured":"Ma, X.S., Dakic, B., Naylor, W., Zeilinger, A., Walther, P.: Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems. Nat. Phys. 7, 399 (2011)","journal-title":"Nat. Phys."},{"key":"3706_CR10","doi-asserted-by":"publisher","first-page":"3588","DOI":"10.1016\/j.physleta.2016.08.039","volume":"380","author":"A Kumara","year":"2016","unstructured":"Kumara, A., Roy, S.S., Pal, A.K., Prabhu, R., De, A.S., Sen, U.: Conclusive identification of quantum channels via monogamy of quantum correlations. Phys. Lett. A 380, 3588 (2016)","journal-title":"Phys. Lett. A"},{"key":"3706_CR11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.61.052306","volume":"61","author":"V Coffman","year":"2000","unstructured":"Coffman, V., Kundu, J., Wootters, W.K.: Distributed entanglement. Phys. Rev. A 61, 052306 (2000)","journal-title":"Phys. Rev. A"},{"key":"3706_CR12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.220503","volume":"96","author":"TJ Osborne","year":"2006","unstructured":"Osborne, T.J., Verstraete, F.: General monogamy inequality for bipartite qubit entanglement. Phys. Rev. Lett. 96, 220503 (2006)","journal-title":"Phys. Rev. Lett."},{"key":"3706_CR13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.76.022336","volume":"76","author":"YK Bai","year":"2007","unstructured":"Bai, Y.K., Yang, D., Wang, Z.D.: Multipartite quantum correlation and entanglement in four-qubit pure states. Phys. Rev. A 76, 022336 (2007)","journal-title":"Phys. Rev. A"},{"key":"3706_CR14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.77.032313","volume":"77","author":"YK Bai","year":"2008","unstructured":"Bai, Y.K., Wang, Z.D.: Multipartite entanglement in four-qubit cluster-class states. Phys. Rev. A 77, 032313 (2008)","journal-title":"Phys. Rev. A"},{"key":"3706_CR15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.112.180501","volume":"112","author":"T Gao","year":"2014","unstructured":"Gao, T., Yan, F.L., van Enk, S.J.: Permutationally invariant part of a density matrix and nonseparability of $$N$$-qubit states. Phys. Rev. Lett. 112, 180501 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"3706_CR16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.79.012329","volume":"79","author":"JS Kim","year":"2009","unstructured":"Kim, J.S., Das, A., Sanders, B.C.: Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity. Phys. Rev. A 79, 012329 (2009)","journal-title":"Phys. Rev. A"},{"key":"3706_CR17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.92.042307","volume":"92","author":"JH Choi","year":"2015","unstructured":"Choi, J.H., Kim, J.S.: Negativity and strong monogamy of multiparty quantum entanglement beyond qubits. Phys. Rev. A 92, 042307 (2015)","journal-title":"Phys. Rev. A"},{"key":"3706_CR18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.89.034303","volume":"89","author":"TR de Oliveira","year":"2014","unstructured":"de Oliveira, T.R., Cornelio, M.F., Fanchini, F.F.: Monogamy of entanglement of formation. Phys. Rev. A 89, 034303 (2014)","journal-title":"Phys. Rev. A"},{"key":"3706_CR19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.113.100503","volume":"113","author":"YK Bai","year":"2014","unstructured":"Bai, Y.K., Xu, Y.F., Wang, Z.D.: General monogamy relation for the entanglement of formation in multiqubit systems. Phys. Rev. Lett. 113, 100503 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"3706_CR20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.042305","volume":"99","author":"Y Guo","year":"2019","unstructured":"Guo, Y., Gour, G.: Monogamy of the entanglement of formation. Phys. Rev. A 99, 042305 (2019)","journal-title":"Phys. Rev. A"},{"key":"3706_CR21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.81.062328","volume":"81","author":"JS Kim","year":"2010","unstructured":"Kim, J.S.: Tsallis entropy and entanglement constraints in multiqubit systems. Phys. Rev. A 81, 062328 (2010)","journal-title":"Phys. Rev. A"},{"key":"3706_CR22","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/j.aop.2016.07.021","volume":"373","author":"JS Kim","year":"2016","unstructured":"Kim, J.S.: Generalized entanglement constraints in multi-qubit systems in terms of Tsallis entropy. Ann. Phys. 373, 197 (2016)","journal-title":"Ann. Phys."},{"key":"3706_CR23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.062340","volume":"93","author":"Y Luo","year":"2016","unstructured":"Luo, Y., Tian, T., Shao, L.H., Li, Y.M.: General monogamy of Tsallis $$q$$-entropy entanglement in multiqubit systems. Phys. Rev. A 93, 062340 (2016)","journal-title":"Phys. Rev. A"},{"key":"3706_CR24","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/43\/44\/445305","volume":"43","author":"JS Kim","year":"2010","unstructured":"Kim, J.S., Sanders, B.C.: Monogamy of multi-qubit entanglement using R\u00e9nyi entropy. J. Phys. A: Math. Theor. 43, 445305 (2010)","journal-title":"J. Phys. A: Math. Theor."},{"key":"3706_CR25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.022324","volume":"93","author":"YX Wang","year":"2016","unstructured":"Wang, Y.X., Mu, L.Z., Vedral, V., Fan, H.: Entanglement R\u00e9nyi $$\\alpha $$ entropy. Phys. Rev. A 93, 022324 (2016)","journal-title":"Phys. Rev. A"},{"key":"3706_CR26","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/44\/29\/295303","volume":"44","author":"JS Kim","year":"2011","unstructured":"Kim, J.S., Sanders, B.C.: Unified entropy, entanglement measures and monogamy of multi-party entanglement. J. Phys. A: Math. Theor. 44, 295303 (2011)","journal-title":"J. Phys. A: Math. Theor."},{"key":"3706_CR27","doi-asserted-by":"publisher","first-page":"16419","DOI":"10.1038\/s41598-019-52817-y","volume":"9","author":"A Khan","year":"2019","unstructured":"Khan, A., Rehman, J., Wang, K., Shin, H.: Unified monogamy relations of multipartite entanglement. Sci. Rep. 9, 16419 (2019)","journal-title":"Sci. Rep."},{"key":"3706_CR28","doi-asserted-by":"publisher","first-page":"3098","DOI":"10.1007\/s10773-020-04564-4","volume":"59","author":"LM Gao","year":"2020","unstructured":"Gao, L.M., Yan, F.L., Gao, T.: Monogamy inequality in terms of entanglement measures based on distance for pure multiqubit states. Int. J. Theor. Phys. 59, 3098 (2020)","journal-title":"Int. J. Theor. Phys."},{"key":"3706_CR29","doi-asserted-by":"publisher","first-page":"332","DOI":"10.1007\/s11128-021-03268-w","volume":"20","author":"LM Gao","year":"2021","unstructured":"Gao, L.M., Yan, F.L., Gao, T.: Monogamy of entanglement measures based on fidelity in multiqubit systems. Quantum Inf. Process. 20, 332 (2021)","journal-title":"Quantum Inf. Process."},{"key":"3706_CR30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.97.032336","volume":"97","author":"ZX Jin","year":"2018","unstructured":"Jin, Z.X., Li, J., Li, T., Fei, S.M.: Tighter monogamy relations in multiqubit systems. Phys. Rev. A 97, 032336 (2018)","journal-title":"Phys. Rev. A"},{"key":"3706_CR31","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.97.012334","volume":"97","author":"JS Kim","year":"2018","unstructured":"Kim, J.S.: Negativity and tight constraints of multiqubit entanglement. Phys. Rev. A 97, 012334 (2018)","journal-title":"Phys. Rev. A"},{"key":"3706_CR32","doi-asserted-by":"publisher","first-page":"12245","DOI":"10.1038\/s41598-018-30766-2","volume":"8","author":"JS Kim","year":"2018","unstructured":"Kim, J.S.: Hamming weight and tight constraints of multi-qubit entanglement in terms of unified entropy. Sci. Rep. 8, 12245 (2018)","journal-title":"Sci. Rep."},{"key":"3706_CR33","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/s11128-018-2137-x","volume":"18","author":"ZX Jin","year":"2019","unstructured":"Jin, Z.X., Fei, S.M.: Finer distribution of quantum correlations among multiqubit systems. Quantum Inf. Process. 18, 21 (2019)","journal-title":"Quantum Inf. Process."},{"key":"3706_CR34","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1007\/s11128-019-2513-1","volume":"19","author":"LM Yang","year":"2020","unstructured":"Yang, L.M., Chen, B., Fei, S.M., Wang, Z.X.: Tighter constraints of multiqubit entanglement for negativity. Quantum Inf. Process. 19, 4 (2020)","journal-title":"Quantum Inf. Process."},{"key":"3706_CR35","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/ab8e2e","volume":"29","author":"ML Guo","year":"2020","unstructured":"Guo, M.L., Li, B., Wang, Z.X., Fei, S.M.: Tighter constraints of multiqubit entanglement in terms of R\u00e9nyi-$$\\alpha $$ entropy. Chin. Phys. B 29, 070304 (2020)","journal-title":"Chin. Phys. B"},{"key":"3706_CR36","doi-asserted-by":"publisher","first-page":"1455","DOI":"10.1007\/s10773-021-04770-8","volume":"60","author":"D Liu","year":"2021","unstructured":"Liu, D.: Tighter constraints of quantum correlations among multipartite systems. Int. J. Theor. Phys. 60, 1455 (2021)","journal-title":"Int. J. Theor. Phys."},{"key":"3706_CR37","doi-asserted-by":"publisher","DOI":"10.1088\/1612-202X\/ac2cd0","volume":"18","author":"YY Ren","year":"2021","unstructured":"Ren, Y.Y., Wang, Z.X., Fei, S.M.: Tighter constraints of multiqubit entanglement in terms of unified entropy. Laser Phys. Lett. 18, 115204 (2021)","journal-title":"Laser Phys. Lett."},{"key":"3706_CR38","doi-asserted-by":"publisher","DOI":"10.1088\/1572-9494\/ab7ece","volume":"72","author":"LM Gao","year":"2020","unstructured":"Gao, L.M., Yan, F.L., Gao, T.: Tighter monogamy relations of multiqubit entanglement in terms of R\u00e9nyi-$$\\alpha $$ entanglement. Commun. Theor. Phys. 72, 085102 (2020)","journal-title":"Commun. Theor. Phys."},{"key":"3706_CR39","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1007\/s11128-020-02786-3","volume":"19","author":"LM Gao","year":"2020","unstructured":"Gao, L.M., Yan, F.L., Gao, T.: Tighter monogamy and polygamy relations of multiparty quantum entanglement. Quantum Inf. Process. 19, 276 (2020)","journal-title":"Quantum Inf. Process."},{"key":"3706_CR40","doi-asserted-by":"publisher","first-page":"136","DOI":"10.1007\/s11128-022-03479-9","volume":"21","author":"MM Zhang","year":"2022","unstructured":"Zhang, M.M., Jing, N.H., Zhao, H.: Tightening monogamy and polygamy relations of unified entanglement in multipartite systems. Quantum Inf. Process. 21, 136 (2022)","journal-title":"Quantum Inf. Process."},{"key":"3706_CR41","doi-asserted-by":"publisher","first-page":"4177","DOI":"10.1007\/s10773-021-04967-x","volume":"60","author":"WW Liu","year":"2021","unstructured":"Liu, W.W., Yang, Z.F., Fei, S.M.: Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit systems. Int. J. Theor. Phys. 60, 4177 (2021)","journal-title":"Int. J. Theor. Phys."},{"key":"3706_CR42","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1088\/0253-6102\/71\/5\/545","volume":"71","author":"LM Yang","year":"2019","unstructured":"Yang, L.M., Chen, B., Fei, S.M., Wang, Z.X.: Tighter constraints of multiqubit entanglement. Commun. Theor. Phys. 71, 545 (2019)","journal-title":"Commun. Theor. Phys."},{"key":"3706_CR43","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.032343","volume":"99","author":"ZX Jin","year":"2019","unstructured":"Jin, Z.X., Fei, S.M.: Superactivation of monogamy relations for nonadditive quantum correlation measures. Phys. Rev. A 99, 032343 (2019)","journal-title":"Phys. Rev. A"},{"key":"3706_CR44","doi-asserted-by":"crossref","unstructured":"Rungta, P., Bu$$\\check{z}$$ek, V., Caves, C.M., Hillery, M., Milburn, G.J.: Universal state inversion and concurrence in arbitrary dimensions, Phys. Rev. A 64, 042315 (2001)","DOI":"10.1103\/PhysRevA.64.042315"},{"key":"3706_CR45","doi-asserted-by":"publisher","first-page":"2245","DOI":"10.1103\/PhysRevLett.80.2245","volume":"80","author":"WK Wootters","year":"1998","unstructured":"Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)","journal-title":"Phys. Rev. Lett."},{"key":"3706_CR46","doi-asserted-by":"publisher","first-page":"1560","DOI":"10.1103\/PhysRevLett.85.1560","volume":"85","author":"A Ac\u00edn","year":"2000","unstructured":"Ac\u00edn, A., Andrianov, A., Costa, L., Jan\u00e9, E., Latorre, J.I., Tarrach, R.: Generalized Schmidt decomposition and classification of three-quantum-bit states. Phys. Rev. Lett. 85, 1560 (2000)","journal-title":"Phys. Rev. Lett."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03706-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-022-03706-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03706-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,11]],"date-time":"2022-11-11T18:35:32Z","timestamp":1668191732000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-022-03706-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,19]]},"references-count":46,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2022,10]]}},"alternative-id":["3706"],"URL":"https:\/\/doi.org\/10.1007\/s11128-022-03706-3","relation":{},"ISSN":["1573-1332"],"issn-type":[{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,10,19]]},"assertion":[{"value":"30 May 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 October 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 October 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"357"}}