{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T01:56:32Z","timestamp":1773539792669,"version":"3.50.1"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2018,10,12]],"date-time":"2018-10-12T00:00:00Z","timestamp":1539302400000},"content-version":"tdm","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":["1761073"],"award-info":[{"award-number":["1761073"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11675113"],"award-info":[{"award-number":["11675113"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Science Foundation of Beijing","award":["KZ201810028042"],"award-info":[{"award-number":["KZ201810028042"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2018,11]]},"DOI":"10.1007\/s11128-018-2094-4","type":"journal-article","created":{"date-parts":[[2018,10,12]],"date-time":"2018-10-12T03:46:18Z","timestamp":1539315978000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Unextendible maximally entangled bases in \n                \n                  \n                \n                $${\\mathbb {C}}^{pd}\\otimes {\\mathbb {C}}^{qd}$$\n                \n                  \n                    \n                      \n                        \n                          C\n                        \n                        \n                          pd\n                        \n                      \n                      \u2297\n                      \n                        \n                          C\n                        \n                        \n                          qd"],"prefix":"10.1007","volume":"17","author":[{"given":"Gui-Jun","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Yuan-Hong","family":"Tao","sequence":"additional","affiliation":[]},{"given":"Yi-Fan","family":"Han","sequence":"additional","affiliation":[]},{"given":"Xin-Lei","family":"Yong","sequence":"additional","affiliation":[]},{"given":"Shao-Ming","family":"Fei","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,10,12]]},"reference":[{"issue":"6","key":"2094_CR1","doi-asserted-by":"publisher","first-page":"1253","DOI":"10.1080\/09500349514551091","volume":"42","author":"A Barenco","year":"1995","unstructured":"Barenco, A., Ekert, A.K.: Dense coding based on quantum entanglement. J. Mod. Opt. 42(6), 1253\u20131259 (1995)","journal-title":"J. Mod. Opt."},{"key":"2094_CR2","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\u2013942 (2009)","journal-title":"Rev. Mod. Phys."},{"issue":"20","key":"2094_CR3","doi-asserted-by":"publisher","first-page":"4737","DOI":"10.1103\/PhysRevLett.84.4737","volume":"84","author":"W Tittel","year":"2000","unstructured":"Tittel, W., Brendel, J., Zbinden, H., Gisin, N.: Quantum cryptography using entangled photons in energy-time bell states. Phys. Rev. Lett. 84(20), 4737 (2000)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"2094_CR4","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1103\/PhysRevA.66.014103","volume":"66","author":"SB Zheng","year":"2002","unstructured":"Zheng, S.B.: Quantum nonlocality for a three-particle nonmaximally entangled state without inequalities. Phys. Rev. A 66(1), 90\u201395 (2002)","journal-title":"Phys. Rev. A"},{"key":"2094_CR5","doi-asserted-by":"publisher","first-page":"024201","DOI":"10.1360\/SSPMA2014-00254","volume":"58","author":"WJ Guo","year":"2015","unstructured":"Guo, W.J., Fan, D.H., Wei, L.F.: Experimentally testing Bell\u2019s theorem based on Hardy\u2019s nonlocal ladder proofs. Sci. China Phys. Mech. Astron. 58, 024201 (2015)","journal-title":"Sci. China Phys. Mech. Astron."},{"issue":"4","key":"2094_CR6","doi-asserted-by":"publisher","first-page":"640303","DOI":"10.1007\/s11433-016-5795-7","volume":"59","author":"HX Meng","year":"2016","unstructured":"Meng, H.X., Cao, H.X., Wang, W.H., Chen, L., Fan, Y.J.: Continuity of the robustness of contextuality and the contextuality cost of empirical models. Sci. China Phys. Mech. Astron. 59(4), 640303 (2016)","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"2094_CR7","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1007\/s00220-003-0877-6","volume":"238","author":"DP DiVincenzo","year":"2013","unstructured":"DiVincenzo, D.P., Mor, T., Shor, P.W., Smolin, J.A., Terhal, B.M.: Unextendible product bases, uncompletable product bases and bound entanglement. Commun. Math. Phys. 238, 379 (2013)","journal-title":"Commun. Math. Phys."},{"key":"2094_CR8","doi-asserted-by":"publisher","first-page":"022309","DOI":"10.1103\/PhysRevA.70.022309","volume":"70","author":"SD Rinaldis","year":"2004","unstructured":"Rinaldis, S.D.: Distinguishability of complete and unextendible product bases. Phys. Rev. A. 70, 022309 (2004)","journal-title":"Phys. Rev. A."},{"key":"2094_CR9","doi-asserted-by":"publisher","first-page":"5385","DOI":"10.1103\/PhysRevLett.82.5385","volume":"82","author":"CH Bennett","year":"1999","unstructured":"Bennett, C.H.: Unextendible product bases and bound entanglement. Phys. Rev. Lett. 82, 5385 (1999)","journal-title":"Phys. Rev. Lett."},{"key":"2094_CR10","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"},{"key":"2094_CR11","doi-asserted-by":"publisher","first-page":"034301","DOI":"10.1103\/PhysRevA.88.034301","volume":"88","author":"B Chen","year":"2013","unstructured":"Chen, B., Fei, S.M.: Unextendible maximally entangled bases and mutually unbiased bases. Phys. Rev. A 88, 034301 (2013)","journal-title":"Phys. Rev. A"},{"issue":"24","key":"2094_CR12","first-page":"245301","volume":"48","author":"Y Guo","year":"2014","unstructured":"Guo, Y., Wu, S.J.: Unextendible entangled bases with fixed Schmidt number. Phys. Rev. A 48(24), 245301 (2014)","journal-title":"Phys. Rev. A"},{"key":"2094_CR13","doi-asserted-by":"publisher","first-page":"927","DOI":"10.1007\/s10773-014-2288-1","volume":"54","author":"H Nan","year":"2015","unstructured":"Nan, H., Tao, Y.H., Li, L.S., Zhang, J.: Unextendible maximally entangled bases and mutually unbiased bases in \n                    \n                      \n                    \n                    $${\\mathbb{C}}^{d}\\otimes {\\mathbb{C}}^{d^{\\prime }}$$\n                    \n                      \n                        \n                          \n                            \n                              C\n                            \n                            d\n                          \n                          \u2297\n                          \n                            \n                              C\n                            \n                            \n                              d\n                              \u2032\n                            \n                          \n                        \n                      \n                    \n                  . Int. J. Theor. Phys. 54, 927 (2015)","journal-title":"Int. J. Theor. Phys."},{"key":"2094_CR14","doi-asserted-by":"publisher","first-page":"062313","DOI":"10.1103\/PhysRevA.89.062313","volume":"89","author":"MS Li","year":"2014","unstructured":"Li, M.S., Wang, Y.L., Fei, S.M., Zheng, Z.J.: Unextendible maximally entangled bases in \n                    \n                      \n                    \n                    $${\\mathbb{C}}^{d}\\otimes {\\mathbb{C}}^{d^{\\prime }}$$\n                    \n                      \n                        \n                          \n                            \n                              C\n                            \n                            d\n                          \n                          \u2297\n                          \n                            \n                              C\n                            \n                            \n                              d\n                              \u2032\n                            \n                          \n                        \n                      \n                    \n                  . Phys. Rev. A 89, 062313 (2014)","journal-title":"Phys. Rev. A"},{"key":"2094_CR15","doi-asserted-by":"publisher","first-page":"034301","DOI":"10.1103\/PhysRevA.90.034301","volume":"90","author":"YL Wang","year":"2014","unstructured":"Wang, Y.L., Li, M.S., Fei, S.M.: Unextendible maximally entangled bases in \n                    \n                      \n                    \n                    $${\\mathbb{C}}^{d}\\otimes {\\mathbb{C}}^{d^{\\prime }}$$\n                    \n                      \n                        \n                          \n                            \n                              C\n                            \n                            d\n                          \n                          \u2297\n                          \n                            \n                              C\n                            \n                            \n                              d\n                              \u2032\n                            \n                          \n                        \n                      \n                    \n                  . Phys. Rev. A 90, 034301 (2014)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"2094_CR16","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1007\/s11128-017-1537-7","volume":"16","author":"YL Wang","year":"2017","unstructured":"Wang, Y.L., Li, M.S., Fei, S.M.: Connecting the UMEB in \n                    \n                      \n                    \n                    $${\\mathbb{C}}^{d}\\otimes {\\mathbb{C}}^{d}$$\n                    \n                      \n                        \n                          \n                            \n                              C\n                            \n                            d\n                          \n                          \u2297\n                          \n                            \n                              C\n                            \n                            d\n                          \n                        \n                      \n                    \n                   with partial Hadamard matrices. Quantum Inf. Process. 16(3), 84 (2017)","journal-title":"Quantum Inf. Process."},{"key":"2094_CR17","doi-asserted-by":"publisher","first-page":"052302","DOI":"10.1103\/PhysRevA.94.052302","volume":"94","author":"Y Guo","year":"2016","unstructured":"Guo, Y.: Constructing the unextendible maximally entangled basis from the maximally entangled basis. Phys. Rev. A 94, 052302 (2016)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"2094_CR18","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1038\/s41598-017-18662-7","volume":"8","author":"GJ Zhang","year":"2018","unstructured":"Zhang, G.J., Tao, Y.H., Han, Y.F., Yong, X.L., Fei, S.M.: Constructions of Unextendible Maximally Entangled Bases in \n                    \n                      \n                    \n                    $${\\mathbb{C}}^{d}\\otimes {\\mathbb{C}}^{d^{\\prime }}$$\n                    \n                      \n                        \n                          \n                            \n                              C\n                            \n                            d\n                          \n                          \u2297\n                          \n                            \n                              C\n                            \n                            \n                              d\n                              \u2032\n                            \n                          \n                        \n                      \n                    \n                  . Sci. Rep. 8(1), 319 (2018)","journal-title":"Sci. Rep."},{"issue":"11","key":"2094_CR19","doi-asserted-by":"publisher","first-page":"3425","DOI":"10.1007\/s10773-017-3505-5","volume":"56","author":"YJ Zhang","year":"2017","unstructured":"Zhang, Y.J., Zhao, H., Jing, N., Fei, S.M.: Multipartite unextendible entangled basis. Int. J. Theor. Phys. 56(11), 3425\u20133430 (2017)","journal-title":"Int. J. Theor. Phys."},{"key":"2094_CR20","doi-asserted-by":"publisher","first-page":"3553","DOI":"10.1007\/s11128-015-1058-1","volume":"14","author":"Y Guo","year":"2015","unstructured":"Guo, Y., Jia, Y.P., Li, X.L.: Multipartite unextendible entangled basis. Quantum Inf. Process. 14, 3553 (2015)","journal-title":"Quantum Inf. Process."},{"key":"2094_CR21","doi-asserted-by":"publisher","first-page":"245301","DOI":"10.1088\/1751-8113\/48\/24\/245301","volume":"48","author":"Y Guo","year":"2015","unstructured":"Guo, Y., Du, S.P., Li, X.L., Wu, S.J.: Entangled bases with fixed Schmidt number. J. Phys. A Math. Theor. 48, 245301 (2015)","journal-title":"J. Phys. A Math. Theor."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-018-2094-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-018-2094-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-018-2094-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,11]],"date-time":"2019-10-11T19:24:18Z","timestamp":1570821858000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-018-2094-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10,12]]},"references-count":21,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2018,11]]}},"alternative-id":["2094"],"URL":"https:\/\/doi.org\/10.1007\/s11128-018-2094-4","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,10,12]]},"assertion":[{"value":"27 January 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 October 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 October 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"318"}}