{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T17:11:36Z","timestamp":1765041096712,"version":"3.37.3"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2020,8,24]],"date-time":"2020-08-24T00:00:00Z","timestamp":1598227200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,8,24]],"date-time":"2020-08-24T00:00:00Z","timestamp":1598227200000},"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":["11971004, 61572246, 61602232"],"award-info":[{"award-number":["11971004, 61572246, 61602232"]}],"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"],"published-print":{"date-parts":[[2020,9]]},"DOI":"10.1007\/s11128-020-02799-y","type":"journal-article","created":{"date-parts":[[2020,8,24]],"date-time":"2020-08-24T08:03:54Z","timestamp":1598256234000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Local equivalence of quantum orthogonal arrays and orthogonal arrays"],"prefix":"10.1007","volume":"19","author":[{"given":"Jiao","family":"Du","sequence":"first","affiliation":[]},{"given":"Cuijiao","family":"Yin","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9000-802X","authenticated-orcid":false,"given":"Shanqi","family":"Pang","sequence":"additional","affiliation":[]},{"given":"Tianyin","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,8,24]]},"reference":[{"issue":"6","key":"2799_CR1","doi-asserted-by":"publisher","first-page":"062326","DOI":"10.1103\/PhysRevA.97.062326","volume":"97","author":"D Goyeneche","year":"2018","unstructured":"Goyeneche, D., Raissi, Z., Martino, S.D., \u017byczkowski, K.: Entanglement and quantum combinatorial designs. Phys. Rev. A 97(6), 062326 (2018)","journal-title":"Phys. Rev. A"},{"key":"2799_CR2","first-page":"520","volume":"3","author":"J Eisert","year":"2013","unstructured":"Eisert, J.: Entanglement and tensor network states. Model. Simul. 3, 520 (2013). arXiv:1308.3318","journal-title":"Model. Simul."},{"issue":"25","key":"2799_CR3","doi-asserted-by":"publisher","first-page":"257202","DOI":"10.1103\/PhysRevLett.113.257202","volume":"113","author":"R Or\u00fas","year":"2014","unstructured":"Or\u00fas, R., Wei, T.C., Buerschaper, O., Garc\u00eda-Saez, A.: Topo-logical transitions from multipartite entanglement with tensor networks: a procedure for sharper and faster characterization. Phys. Rev. Lett. 113(25), 257202 (2014)","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"2799_CR4","doi-asserted-by":"publisher","first-page":"022316","DOI":"10.1103\/PhysRevA.90.022316","volume":"90","author":"D Goyeneche","year":"2014","unstructured":"Goyeneche, D., \u017byczkowski, K.: Genuinely multipartite entangled states and orthogonal arrays. Phys. Rev. A 90(2), 022316 (2014)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"2799_CR5","doi-asserted-by":"publisher","first-page":"012319","DOI":"10.1103\/PhysRevA.87.012319","volume":"87","author":"L Arnaud","year":"2013","unstructured":"Arnaud, L., Cerf, N.J.: Exploring pure quantum states with maximally mixed reductions. Phys. Rev. A 87(1), 012319 (2013)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"2799_CR6","doi-asserted-by":"publisher","first-page":"052330","DOI":"10.1103\/PhysRevA.69.052330","volume":"69","author":"AJ Scott","year":"2004","unstructured":"Scott, A.J.: Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions. Phys. Rev. A 69(5), 052330 (2004)","journal-title":"Phys. Rev. A"},{"issue":"13","key":"2799_CR7","doi-asserted-by":"publisher","first-page":"130503","DOI":"10.1103\/PhysRevLett.108.130503","volume":"108","author":"HK Lo","year":"2012","unstructured":"Lo, H.K., Curty, M., Qi, B.: Measurement-device-independent quantum key distribution. Phys. Rev. Lett. 108(13), 130503 (2012)","journal-title":"Phys. Rev. Lett."},{"issue":"20","key":"2799_CR8","doi-asserted-by":"publisher","first-page":"2881","DOI":"10.1103\/PhysRevLett.69.2881","volume":"69","author":"CH Bennett","year":"1992","unstructured":"Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein\u2013Podolsky\u2013Rosen states. Phys. Rev. Lett. 69(20), 2881\u20132884 (1992)","journal-title":"Phys. Rev. Lett."},{"issue":"6","key":"2799_CR9","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1103\/PhysRevLett.67.661","volume":"67","author":"AK Ekert","year":"1991","unstructured":"Ekert, A.K.: Quantum cryptography based on bells theorem. Phys. Rev. Lett. 67(6), 661\u2013663 (1991)","journal-title":"Phys. Rev. Lett."},{"issue":"20","key":"2799_CR10","doi-asserted-by":"publisher","first-page":"4729","DOI":"10.1103\/PhysRevLett.84.4729","volume":"84","author":"T Jennewein","year":"2000","unstructured":"Jennewein, T., Simon, C., Weihs, G., Weinfurter, H., Zeilinger, A.: Quantum cryptography with entangled photons. Phys. Rev. Lett. 84(20), 4729\u20134732 (2000)","journal-title":"Phys. Rev. Lett."},{"issue":"13","key":"2799_CR11","doi-asserted-by":"publisher","first-page":"1895","DOI":"10.1103\/PhysRevLett.70.1895","volume":"70","author":"CH Bennett","year":"1993","unstructured":"Bennett, C.H., Brassard, G., Crpeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein\u2013Podolsky\u2013Rosen channels. Phys. Rev. Lett. 70(13), 1895\u20131899 (1993)","journal-title":"Phys. Rev. Lett."},{"issue":"6660","key":"2799_CR12","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1038\/37539","volume":"390","author":"D Bouwmeester","year":"1997","unstructured":"Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390(6660), 575\u2013579 (1997)","journal-title":"Nature"},{"issue":"6995","key":"2799_CR13","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1038\/nature02643","volume":"430","author":"Z Zhao","year":"2004","unstructured":"Zhao, Z., Chen, Y.A., Zhang, A.N., Yang, T., Briegel, H.J., Pan, J.W.: Experimental demonstration of five-photon entanglement and open-destination teleportation. Nature 430(6995), 54\u201358 (2004)","journal-title":"Nature"},{"issue":"6993","key":"2799_CR14","doi-asserted-by":"publisher","first-page":"734","DOI":"10.1038\/nature02570","volume":"429","author":"M Riebe","year":"2004","unstructured":"Riebe, M., H\u00e4ffner, H., Roos, C.F., H\u00e4nsel, W., Benhelm, J., Lancaster, G.P.T., Blatt, R.: Deterministic quantum teleportation with atoms. Nature 429(6993), 734\u2013737 (2004)","journal-title":"Nature"},{"key":"2799_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1478-6","volume-title":"Orthogonal Arrays: Theory and Applications","author":"AS Hedayat","year":"1999","unstructured":"Hedayat, A.S., Sloane, N.J.A., Stufken, J.: Orthogonal Arrays: Theory and Applications. Springer, New York (1999)"},{"issue":"2","key":"2799_CR16","doi-asserted-by":"publisher","first-page":"020503","DOI":"10.1103\/PhysRevLett.100.020503","volume":"100","author":"R Duan","year":"2008","unstructured":"Duan, R., Feng, Y.M., Ying, S.: Local distinguishability of multipartite unitary operations. Phys. Rev. Lett. 100(2), 020503 (2008)","journal-title":"Phys. Rev. Lett."},{"issue":"9","key":"2799_CR17","doi-asserted-by":"publisher","first-page":"4171","DOI":"10.1109\/TIT.2006.880059","volume":"52","author":"M Roetteler","year":"2006","unstructured":"Roetteler, M., Wocjan, P.: Equivalence of decoupling schemes and orthogonal arrays. IEEE Trans. Inf. Theory 52(9), 4171\u20134181 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"4","key":"2799_CR18","doi-asserted-by":"publisher","first-page":"042332","DOI":"10.1103\/PhysRevA.99.042332","volume":"99","author":"MS Li","year":"2019","unstructured":"Li, M.S., Wang, Y.L.: $$K$$-uniform quantum states arising from orthogonal arrays. Phys. Rev. A 99(4), 042332 (2019)","journal-title":"Phys. Rev. A"},{"issue":"9","key":"2799_CR19","first-page":"5618","volume":"63","author":"KQ Feng","year":"2017","unstructured":"Feng, K.Q., Jin, L.F., Xing, C.P., Yuan, C.: Multipartite entangled states, symmetric matrices, and error-correcting codes. IEEE Trans. Inf. Theory 63(9), 5618\u20135627 (2017)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"2799_CR20","doi-asserted-by":"publisher","first-page":"900","DOI":"10.1103\/PhysRevA.55.900","volume":"55","author":"E Knill","year":"1997","unstructured":"Knill, E., Laflamme, R.: Theory of quantum error-correcting codes. Phys. Rev. A 55(2), 900\u2013911 (1997)","journal-title":"Phys. Rev. A"},{"key":"2799_CR21","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139034807","volume-title":"Quantum Error Correction","author":"D Lidar","year":"2013","unstructured":"Lidar, D., Brun, T.: Quantum Error Correction. Cambridge University Press, Cambridge U.K. (2013)"},{"issue":"3","key":"2799_CR22","doi-asserted-by":"publisher","first-page":"032316","DOI":"10.1103\/PhysRevA.92.032316","volume":"92","author":"D Goyeneche","year":"2015","unstructured":"Goyeneche, D., Alsina, D., Latorre, J.I., Riera, K., \u017byczkowski, A.: Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices. Phys. Rev. A 92(3), 032316 (2015)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"2799_CR23","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1016\/S0034-4877(05)80089-8","volume":"56","author":"S Albeverio","year":"2005","unstructured":"Albeverio, S., Cattaneo, L., Fei, S.M., Wang, X.H.: Multipartite states under local unitary transformations. Rep. Math. Phys. 56(3), 341\u2013350 (2005)","journal-title":"Rep. Math. Phys."},{"issue":"5","key":"2799_CR24","doi-asserted-by":"publisher","first-page":"910","DOI":"10.1103\/PhysRevLett.86.910","volume":"86","author":"HJ Briegel","year":"2001","unstructured":"Briegel, H.J., Raussendorf, R.: Persistent Entanglement in Arrays of Interacting Particles. Phys. Rev. Lett. 86(5), 910\u2013913 (2001)","journal-title":"Phys. Rev. Lett."},{"key":"2799_CR25","volume-title":"Quantum Computation and Quantum Information","author":"MA Nielsen","year":"2000","unstructured":"Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)"},{"issue":"5","key":"2799_CR26","doi-asserted-by":"publisher","first-page":"052304","DOI":"10.1103\/PhysRevA.79.052304","volume":"79","author":"C Kruszynska","year":"2009","unstructured":"Kruszynska, C., Kraus, B.: Local entanglability and multipartite entanglement. Phys. Rev. A 79(5), 052304 (2009)","journal-title":"Phys. Rev. A"},{"issue":"18","key":"2799_CR27","doi-asserted-by":"publisher","first-page":"8913","DOI":"10.1080\/03610926.2016.1197253","volume":"46","author":"SQ Pang","year":"2017","unstructured":"Pang, S.Q., Yan, R., Li, S.: Schematic saturated orthogonal arrays obtained by using the contractive replacement method. Comm. Stat. Theory Methods 46(18), 8913\u20138924 (2017)","journal-title":"Comm. Stat. Theory Methods"},{"issue":"52","key":"2799_CR28","first-page":"1","volume":"5","author":"SQ Pang","year":"2019","unstructured":"Pang, S.Q., Zhang, X., Lin, X., Zhang, Q.J.: Two and three-uniform states from irredundant orthogonal arrays. npj Quant. Inf. 5(52), 1\u201310 (2019)","journal-title":"npj Quant. Inf."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-02799-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-020-02799-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-02799-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,23]],"date-time":"2021-08-23T23:09:02Z","timestamp":1629760142000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-020-02799-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,24]]},"references-count":28,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["2799"],"URL":"https:\/\/doi.org\/10.1007\/s11128-020-02799-y","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2020,8,24]]},"assertion":[{"value":"1 April 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 August 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 August 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"303"}}