{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:10Z","timestamp":1740137230112,"version":"3.37.3"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T00:00:00Z","timestamp":1635724800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T00:00:00Z","timestamp":1635724800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2021,11]]},"DOI":"10.1007\/s11128-021-03312-9","type":"journal-article","created":{"date-parts":[[2021,11,5]],"date-time":"2021-11-05T06:03:01Z","timestamp":1636092181000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["An extension of Bravyi-Smolin\u2019s construction for UMEBs"],"prefix":"10.1007","volume":"20","author":[{"given":"Jeremy","family":"Levick","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0301-0496","authenticated-orcid":false,"given":"Mizanur","family":"Rahaman","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,11,5]]},"reference":[{"key":"3312_CR1","doi-asserted-by":"publisher","first-page":"070401","DOI":"10.1103\/PhysRevLett.107.070401","volume":"107","author":"R Augusiak","year":"2011","unstructured":"Augusiak, R., Stasi\u0144ska, J., Hadley, C., Korbicz, J.K., Lewenstein, M., Ac\u00edn, A.: Bell inequalities with no quantum violation and unextendable product bases. Phys. Rev. Lett. 107, 070401 (2011)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"3312_CR2","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1007\/s00454-018-9972-5","volume":"61","author":"I Balla","year":"2019","unstructured":"Balla, I., Sudakov, B.: Equiangular subspaces in Euclidean spaces. Discrete Comput. Geom. 61(1), 81\u201390 (2019)","journal-title":"Discrete Comput. Geom."},{"issue":"26","key":"3312_CR3","doi-asserted-by":"publisher","first-page":"5385","DOI":"10.1103\/PhysRevLett.82.5385","volume":"82","author":"CH Bennett","year":"1999","unstructured":"Bennett, C.H., DiVincenzo, D.P., Mor, T., Shor, P.W., Smolin, J.A., Terhal, B.M.: Unextendible product bases and bound entanglement. Phys. Rev. Lett. 82(26), 5385\u20135388 (1999)","journal-title":"Phys. Rev. Lett."},{"issue":"6","key":"3312_CR4","doi-asserted-by":"publisher","first-page":"2601","DOI":"10.1090\/proc\/13956","volume":"146","author":"BG Bodmann","year":"2018","unstructured":"Bodmann, B.G., Haas, J.I.: Maximal orthoplectic fusion frames from mutually unbiased bases and block designs. Proc. Amer. Math. Soc. 146(6), 2601\u20132616 (2018)","journal-title":"Proc. Amer. Math. Soc."},{"key":"3312_CR5","doi-asserted-by":"publisher","first-page":"042306","DOI":"10.1103\/PhysRevA.84.042306","volume":"84","author":"S Bravyi","year":"2011","unstructured":"Bravyi, S., Smolin, J.A.: Unextendible maximally entangled bases. Phys. Rev. A 84, 042306 (2011)","journal-title":"Phys. Rev. A"},{"issue":"2","key":"3312_CR6","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1023\/A:1018673825179","volume":"9","author":"AR Calderbank","year":"1999","unstructured":"Calderbank, A.R., Hardin, R.H., Rains, E.M., Shor, P.W., Sloane, N.J.A.: A group-theoretic framework for the construction of packings in Grassmannian spaces. J. Algebraic Combin. 9(2), 129\u2013140 (1999)","journal-title":"J. Algebraic Combin."},{"issue":"2","key":"3312_CR7","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1080\/10586458.1996.10504585","volume":"5","author":"JH Conway","year":"1996","unstructured":"Conway, J.H., Hardin, R.H., Sloane, N.J.A.: Packing lines, planes, etc.: packings in Grassmannian spaces. Experiment. Math. 5(2), 139\u2013159 (1996)","journal-title":"Experiment. Math."},{"issue":"3","key":"3312_CR8","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1007\/s00220-003-0877-6","volume":"238","author":"DP DiVincenzo","year":"2003","unstructured":"DiVincenzo, D.P., Mor, T., Shor, P.W., Smolin, J.A., Terhal, B.M.: Unextendible product bases, uncompletable product bases and bound entanglement. Comm. Math. Phys. 238(3), 379\u2013410 (2003)","journal-title":"Comm. Math. Phys."},{"key":"3312_CR9","unstructured":"Girard, M., Leung, D., Levick, J., Li, C-K., Paulsen, V., Poon, Yu., and Watrous, J.: On the mixed-unitary rank of quantum channels, arXiv e-prints (2020), arXiv:2003.14405"},{"key":"3312_CR10","unstructured":"Godsil, C.: Quantum geometry: Mub\u2019s and sic-povm\u2019s, (2009)"},{"key":"3312_CR11","unstructured":"Kribs, D.W., David M., Rajesh, P.: Isoclinic subspaces and quantum error correction., arXiv e-prints (2019), arXiv:1912.10100"},{"issue":"8","key":"3312_CR12","doi-asserted-by":"publisher","first-page":"2496","DOI":"10.1007\/s10773-018-3771-x","volume":"57","author":"F Liu","year":"2018","unstructured":"Liu, F.: A proof for the existence of nonsquare unextendible maximally entangled bases. Internat. J. Theoret. Phys. 57(8), 2496\u20132503 (2018)","journal-title":"Internat. J. Theoret. Phys."},{"issue":"4","key":"3312_CR13","doi-asserted-by":"publisher","first-page":"042203","DOI":"10.1063\/1.5045184","volume":"61","author":"SK Pandey","year":"2020","unstructured":"Pandey, S.K., Paulsen, V.I., Prakash, J., Rahaman, M.: Entanglement breaking rank and the existence of SIC POVMs. J. Math. Phys. 61(4), 042203 (2020)","journal-title":"J. Math. Phys."},{"key":"3312_CR14","doi-asserted-by":"publisher","first-page":"2150019","DOI":"10.1142\/S0217984921500196","volume":"34","author":"L Tang","year":"2020","unstructured":"Tang, L., Xiang, Y., Mo, Z.-W., Bai, M.-Q.: Mutually unbiased unextendible maximally entangled bases in $$C^d\\otimes C^{q(d+1)}$$. Modern Phys. Lett. B 34, 2150019 (2020)","journal-title":"Modern Phys. Lett. B"},{"issue":"1\u20133","key":"3312_CR15","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/S0024-3795(00)00251-2","volume":"323","author":"BM Terhal","year":"2001","unstructured":"Terhal, B.M.: A family of indecomposable positive linear maps based on entangled quantum states. Linear Algebra Appl. 323(1\u20133), 61\u201373 (2001)","journal-title":"Linear Algebra Appl."},{"issue":"12","key":"3312_CR16","doi-asserted-by":"publisher","first-page":"5119","DOI":"10.1007\/s11128-016-1435-4","volume":"15","author":"Y Xi","year":"2016","unstructured":"Xi, Y., Zheng, Z.-J., Zhu, C.-J.: Entanglement detection via general SIC-POVMs. Quantum Inf. Process. 15(12), 5119\u20135128 (2016)","journal-title":"Quantum Inf. Process."},{"key":"3312_CR17","doi-asserted-by":"crossref","unstructured":"Zong-Xing, X., Zhu-Jun Z., Shao-Ming F.: Mutually unbiased unextendible maximally entangled bases in some systems of higher dimension, Quantum Inf. Process. 19 (2020), no.\u00a012, Paper No. 429, 20. MR\u00a04182099","DOI":"10.1007\/s11128-020-02923-y"},{"key":"3312_CR18","doi-asserted-by":"crossref","unstructured":"Zhang, G.J., Tao, Y.H., Han, Y.F., Yong, X.L., Fei S.M.: Constructions of unextendible maximally entangled bases in $$\\mathbb{C}^{d}\\otimes \\mathbb{C}^{d^{\\prime }}$$, Scientific Reports 8 (2018)","DOI":"10.1038\/s41598-018-21561-0"},{"key":"3312_CR19","unstructured":"Gui-Jun Z., Yuan-Hong T., Yi-Fan H., Xin-Lei Y., Shao-Ming F.: Unextendible maximally entangled bases in $$\\mathbb{C}^{pd}\\otimes \\mathbb{C} ^{qd}$$, Quantum Inf. Process. 17 (2018), no.\u00a011, Paper No. 318, 10. MR\u00a03863629"},{"key":"3312_CR20","doi-asserted-by":"crossref","unstructured":"Tao Z., Gennian G.: Combinatorial constructions of packings in Grassmannian spaces, Des. Codes Cryptogr. 86 (2018), no.\u00a04, 803\u2013815. MR\u00a03770269","DOI":"10.1007\/s10623-017-0362-4"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-021-03312-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-021-03312-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-021-03312-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,23]],"date-time":"2021-11-23T10:18:50Z","timestamp":1637662730000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-021-03312-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11]]},"references-count":20,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2021,11]]}},"alternative-id":["3312"],"URL":"https:\/\/doi.org\/10.1007\/s11128-021-03312-9","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2021,11]]},"assertion":[{"value":"15 June 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 October 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 November 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"369"}}