{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:27Z","timestamp":1740137247214,"version":"3.37.3"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T00:00:00Z","timestamp":1578614400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T00:00:00Z","timestamp":1578614400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11905108","11475088"],"award-info":[{"award-number":["11905108","11475088"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010031","name":"Postdoctoral Research Foundation of China","doi-asserted-by":"publisher","award":["2018M641622"],"award-info":[{"award-number":["2018M641622"]}],"id":[{"id":"10.13039\/501100010031","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Fundamental Research Funds for Central Universities of Nankai University","award":["63191347"],"award-info":[{"award-number":["63191347"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2020,3]]},"DOI":"10.1007\/s11128-020-2576-z","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T11:31:42Z","timestamp":1578655902000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["$$\\ell _1$$-norm in three-qubit quantum entanglement constrained by Yang\u2013Baxter equation"],"prefix":"10.1007","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5849-4029","authenticated-orcid":false,"given":"Li-Wei","family":"Yu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mo-Lin","family":"Ge","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,1,10]]},"reference":[{"key":"2576_CR1","doi-asserted-by":"publisher","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","volume":"52","author":"DL Donoho","year":"2006","unstructured":"Donoho, D.L.: Compressed sensing. IEEE Trans. Inf. 52, 1289 (2006)","journal-title":"IEEE Trans. Inf."},{"key":"2576_CR2","doi-asserted-by":"publisher","first-page":"5406","DOI":"10.1109\/TIT.2006.885507","volume":"52","author":"EJ Candes","year":"2006","unstructured":"Candes, E.J., Tao, T.: Near-optimal signal recovery from random projections: universal encoding strategies? IEEE Trans. Inf. 52, 5406 (2006)","journal-title":"IEEE Trans. Inf."},{"key":"2576_CR3","unstructured":"Kosut, R. L.: Quantum process tomography via $$l_1$$-norm minimization. (arXiv: 0812.4323) (2008)"},{"key":"2576_CR4","doi-asserted-by":"publisher","first-page":"265304","DOI":"10.1088\/1751-8113\/44\/26\/265304","volume":"44","author":"K Niu","year":"2011","unstructured":"Niu, K., Xue, K., Zhao, Q., Ge, M.-L.: The role of the $$\\ell _1$$-norm in quantum information theory and two types of the Yang\u2013Baxter equation. J. Phys. A Math. Theor. 44, 265304 (2011)","journal-title":"J. Phys. A Math. Theor."},{"key":"2576_CR5","doi-asserted-by":"publisher","first-page":"5211","DOI":"10.1007\/s11128-014-0765-3","volume":"15","author":"M-L Ge","year":"2016","unstructured":"Ge, M.-L., Xue, K., Zhang, R.-Y., Zhao, Q.: Yang\u2013Baxter equations and quantum entanglements. Quantum Inf. Process. 15, 5211 (2016)","journal-title":"Quantum Inf. Process."},{"key":"2576_CR6","doi-asserted-by":"publisher","first-page":"21497","DOI":"10.1038\/srep21497","volume":"6","author":"L-W Yu","year":"2016","unstructured":"Yu, L.-W., Ge, M.-L.: $$\\mathbb{Z}_3$$ parafermionic chain emerging from Yang\u2013Baxter equation. Sci. Rep. 6, 21497 (2016)","journal-title":"Sci. Rep."},{"key":"2576_CR7","doi-asserted-by":"publisher","first-page":"140401","DOI":"10.1103\/PhysRevLett.113.140401","volume":"113","author":"T Baumgratz","year":"2014","unstructured":"Baumgratz, T., Cramer, M., Plenio, M.B.: Quantifying coherence. Phys. Rev. Lett. 113, 140401 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"2576_CR8","doi-asserted-by":"publisher","first-page":"1083","DOI":"10.1103\/RevModPhys.80.1083","volume":"80","author":"C Nayak","year":"2008","unstructured":"Nayak, C., Simon, S.H., Stern, A., Freedman, M., Das Sarma, S.: Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys. 80, 1083 (2008)","journal-title":"Rev. Mod. Phys."},{"key":"2576_CR9","doi-asserted-by":"publisher","DOI":"10.1090\/cbms\/112","volume-title":"Topological Quantum Computation","author":"Z Wang","year":"2010","unstructured":"Wang, Z.: Topological Quantum Computation. American Mathematical Society, Providence (2010)"},{"key":"2576_CR10","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1088\/1367-2630\/6\/1\/134","volume":"6","author":"LH Kauffman","year":"2004","unstructured":"Kauffman, L.H., Lomonaco, S.J.: Braiding operators are universal quantum gates. New J. Phys. 6, 134 (2004)","journal-title":"New J. Phys."},{"key":"2576_CR11","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1007\/s11128-018-1811-3","volume":"17","author":"L-W Yu","year":"2018","unstructured":"Yu, L.-W.: Local unitary representation of braids and N-qubit entanglements. Quantum Inf. Process. 17, 44 (2018)","journal-title":"Quantum Inf. Process."},{"key":"2576_CR12","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1007\/BF01221646","volume":"102","author":"M Jimbo","year":"1986","unstructured":"Jimbo, M.: Quantum R-matrix for the generalized Toda system. Commun. Math. Phys. 102, 537 (1986)","journal-title":"Commun. Math. Phys."},{"key":"2576_CR13","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1007\/BF01218412","volume":"125","author":"VFR Jones","year":"1989","unstructured":"Jones, V.F.R.: On a certain value of the Kauffman polynomial. Commun. Math. Phys. 125, 459 (1989)","journal-title":"Commun. Math. Phys."},{"key":"2576_CR14","doi-asserted-by":"publisher","first-page":"3735","DOI":"10.1142\/S0217751X91001817","volume":"6","author":"M-L Ge","year":"1991","unstructured":"Ge, M.-L., Wu, Y.-S., Xue, K.: Explicit trigonometric Yang\u2013Baxterization. Int. J. Mod. Phys. A 6, 3735 (1991)","journal-title":"Int. J. Mod. Phys. A"},{"key":"2576_CR15","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1007\/BF02096797","volume":"136","author":"Y Cheng","year":"1991","unstructured":"Cheng, Y., Ge, M.-L., Xue, K.: Yang\u2013Baxterization of braid group representations. Commun. Math. Phys. 136, 195 (1991)","journal-title":"Commun. Math. Phys."},{"key":"2576_CR16","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1088\/0305-4470\/26\/2\/015","volume":"26","author":"M-L Ge","year":"1993","unstructured":"Ge, M.-L., Xue, K.: Trigonometric Yang\u2013Baxterization of colored R-matrix. J. Phys. A Math. Gen. 26, 281 (1993)","journal-title":"J. Phys. A Math. Gen."},{"key":"2576_CR17","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1016\/0003-4916(79)90391-9","volume":"120","author":"AB Zamolodchikov","year":"1979","unstructured":"Zamolodchikov, A.B., Zamolodchikov, A.B.: Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models. Ann. Phys. 120, 253 (1979)","journal-title":"Ann. Phys."},{"key":"2576_CR18","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1103\/PhysRevLett.86.268","volume":"86","author":"DA Ivanov","year":"2001","unstructured":"Ivanov, D.A.: Non-abelian statistics of half-quantum vortices in p-wave superconductors. Phys. Rev. Lett. 86, 268 (2001)","journal-title":"Phys. Rev. Lett."},{"key":"2576_CR19","doi-asserted-by":"publisher","first-page":"62314","DOI":"10.1103\/PhysRevA.62.062314","volume":"62","author":"W D\u00fcr","year":"2000","unstructured":"D\u00fcr, W., Vidal, G., Cirac, J.I.: Three qubits can be entangled in two inequivalent ways. Phys. Rev. A 62, 62314 (2000)","journal-title":"Phys. Rev. A"},{"key":"2576_CR20","doi-asserted-by":"publisher","first-page":"1312","DOI":"10.1103\/PhysRevLett.19.1312","volume":"19","author":"CN Yang","year":"1967","unstructured":"Yang, C.N.: Some exact results for the many-body problem in one dimension with repulsive $$\\delta $$-function interaction. Phys. Rev. Lett. 19, 1312 (1967)","journal-title":"Phys. Rev. Lett."},{"key":"2576_CR21","doi-asserted-by":"publisher","first-page":"1920","DOI":"10.1103\/PhysRev.168.1920","volume":"168","author":"CN Yang","year":"1968","unstructured":"Yang, C.N.: S-matrix for the one-dimensional N-body problem with repulsive or attractive $$\\delta $$-function interaction. Phys. Rev. 168, 1920 (1968)","journal-title":"Phys. Rev."},{"key":"2576_CR22","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/0003-4916(72)90335-1","volume":"70","author":"RJ Baxter","year":"1972","unstructured":"Baxter, R.J.: Partition function of the eight-vertex lattice model. Ann. Phys. 70, 193 (1972)","journal-title":"Ann. Phys."},{"key":"2576_CR23","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1023\/A:1025843426102","volume":"2","author":"HA Dye","year":"2003","unstructured":"Dye, H.A.: Unitary solutions to the Yang\u2013Baxter equation in dimension four. Quantum Inf. Process. 2, 117 (2003)","journal-title":"Quantum Inf. Process."},{"key":"2576_CR24","doi-asserted-by":"publisher","first-page":"42324","DOI":"10.1103\/PhysRevA.76.042324","volume":"76","author":"J-L Chen","year":"2007","unstructured":"Chen, J.-L., Xue, K., Ge, M.-L.: Braiding transformation, entanglement swapping, and Berry phase in entanglement space. Phys. Rev. A 76, 42324 (2007)","journal-title":"Phys. Rev. A"},{"key":"2576_CR25","doi-asserted-by":"publisher","first-page":"2614","DOI":"10.1016\/j.aop.2008.06.003","volume":"323","author":"J-L Chen","year":"2008","unstructured":"Chen, J.-L., Xue, K., Ge, M.-L.: Berry phase and quantum criticality in Yang\u2013Baxter systems. Ann. Phys. 323, 2614 (2008)","journal-title":"Ann. Phys."},{"key":"2576_CR26","doi-asserted-by":"publisher","first-page":"1075","DOI":"10.1142\/S0129055X06002863","volume":"18","author":"A Benvegnu","year":"2006","unstructured":"Benvegnu, A., Spera, M.: On uncertainty, braiding and entanglement in geometric quantum mechanics. Rev. Math. Phys. 18, 1075 (2006)","journal-title":"Rev. Math. Phys."},{"key":"2576_CR27","doi-asserted-by":"publisher","first-page":"1243007","DOI":"10.1142\/S0217979212430072","volume":"26","author":"M-L Ge","year":"2012","unstructured":"Ge, M.-L., Xue, K.: Yang\u2013Baxter equations in quantum information. Int. J. Mod. Phys. B 26, 1243007 (2012)","journal-title":"Int. J. Mod. Phys. B"},{"key":"2576_CR28","doi-asserted-by":"publisher","first-page":"5211","DOI":"10.1007\/s11128-014-0765-3","volume":"15","author":"M-L Ge","year":"2014","unstructured":"Ge, M.-L., Xue, K., Zhang, R.-Y., Zhao, Q.: Yang\u2013Baxter equations and quantum entanglements. Quantum Inf. Process. 15, 5211 (2014)","journal-title":"Quantum Inf. Process."},{"key":"2576_CR29","doi-asserted-by":"publisher","first-page":"042313","DOI":"10.1103\/PhysRevA.73.042313","volume":"73","author":"S Bravyi","year":"2006","unstructured":"Bravyi, S.: Universal quantum computation with the $$\\nu $$=5\/2 fractional quantum Hall state. Phys. Rev. A 73, 042313 (2006)","journal-title":"Phys. Rev. A"},{"key":"2576_CR30","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1016\/j.aop.2014.05.014","volume":"348","author":"L-W Yu","year":"2014","unstructured":"Yu, L.-W., Zhao, Q., Ge, M.-L.: Factorized three-body S-matrix restrained by the Yang\u2013Baxter equation and quantum entanglements. Ann. Phys. 348, 106 (2014)","journal-title":"Ann. Phys."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-2576-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-020-2576-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-2576-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,1,9]],"date-time":"2021-01-09T02:31:03Z","timestamp":1610159463000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-020-2576-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,10]]},"references-count":30,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,3]]}},"alternative-id":["2576"],"URL":"https:\/\/doi.org\/10.1007\/s11128-020-2576-z","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2020,1,10]]},"assertion":[{"value":"10 September 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 January 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 January 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"76"}}