{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T15:41:24Z","timestamp":1774021284750,"version":"3.50.1"},"reference-count":70,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2023,11,3]],"date-time":"2023-11-03T00:00:00Z","timestamp":1698969600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,11,3]],"date-time":"2023-11-03T00:00:00Z","timestamp":1698969600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61873162"],"award-info":[{"award-number":["61873162"]}],"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":["62205104"],"award-info":[{"award-number":["62205104"]}],"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\/s11128-023-04157-0","type":"journal-article","created":{"date-parts":[[2023,11,3]],"date-time":"2023-11-03T14:01:45Z","timestamp":1699020105000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Quantum teleportation based on non-maximally entangled graph states"],"prefix":"10.1007","volume":"22","author":[{"given":"Yi","family":"Ding","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuzheng","family":"Wei","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zongyi","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3669-2390","authenticated-orcid":false,"given":"Min","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,11,3]]},"reference":[{"key":"4157_CR1","doi-asserted-by":"crossref","first-page":"1895","DOI":"10.1103\/PhysRevLett.70.1895","volume":"70","author":"CH Bennett","year":"1993","unstructured":"Bennett, C.H., Brassard, G., Crepeau, C., et al.: Teleporting an unknown quantum state via dual classical and Einstein\u2013Podolsky\u2013Rosen channels. Phys. Rev. Lett. 70, 1895\u20131899 (1993)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR2","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1007\/s11128-015-1096-8","volume":"15","author":"S Hassanpour","year":"2016","unstructured":"Hassanpour, S., Houshmand, M.: Bidirectional teleportation of a pure EPR state by using GHZ states. Quantum Inf. Process. 15, 905\u2013912 (2016)","journal-title":"Quantum Inf. Process."},{"key":"4157_CR3","first-page":"6","volume":"123","author":"YH Luo","year":"2019","unstructured":"Luo, Y.H., Zhong, H.S., Erhard, M., et al.: Quantum teleportation in high dimensions. Phys. Rev. Lett. 123, 6 (2019)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR4","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1364\/JOSAB.37.000233","volume":"37","author":"FX Fu","year":"2020","unstructured":"Fu, F.X., Jiang, M.: Multihop nondestructive teleportation via different nonmaximally entangled channels. J. Opt. Soc. Am. B-Opt. Phys. 37, 233\u2013243 (2020)","journal-title":"J. Opt. Soc. Am. B-Opt. Phys."},{"key":"4157_CR5","doi-asserted-by":"crossref","first-page":"2524","DOI":"10.1016\/j.physleta.2013.07.056","volume":"377","author":"M Jiang","year":"2013","unstructured":"Jiang, M., Jiang, F.: Deterministic joint remote preparation of arbitrary multi-qudit states. Phys. Lett. A 377, 2524\u20132530 (2013)","journal-title":"Phys. Lett. A"},{"key":"4157_CR6","doi-asserted-by":"crossref","first-page":"1323","DOI":"10.1364\/JOSAB.32.001323","volume":"32","author":"YH Kang","year":"2015","unstructured":"Kang, Y.H., Xia, Y., Lu, P.M.: Effective scheme for preparation of a spin-qubit Greenberger\u2013Horne\u2013Zeilinger state and W state in a quantum-dot-microcavity system. J. Opt. Soc. Am. B-Opt. Phys. 32, 1323\u20131329 (2015)","journal-title":"J. Opt. Soc. Am. B-Opt. Phys."},{"key":"4157_CR7","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1007\/s11128-022-03678-4","volume":"21","author":"RZ Gong","year":"2022","unstructured":"Gong, R.Z., Wei, Y.Z., Xue, S.B., et al.: Joint remote state preparation of an arbitrary multi-qudit state in a chain network. Quantum Inf. Process. 21, 341 (2022)","journal-title":"Quantum Inf. Process."},{"key":"4157_CR8","doi-asserted-by":"crossref","first-page":"1811","DOI":"10.1007\/s10773-018-3706-6","volume":"57","author":"SQ Min","year":"2018","unstructured":"Min, S.Q., Chen, H.Y., Gong, L.H.: Novel multi-party quantum key agreement protocol with G-like states and Bell states. Int. J. Theor. Phys. 57, 1811\u20131822 (2018)","journal-title":"Int. J. Theor. Phys."},{"key":"4157_CR9","doi-asserted-by":"crossref","first-page":"2834","DOI":"10.1007\/s10773-019-04167-8","volume":"58","author":"WT He","year":"2019","unstructured":"He, W.T., Wang, J., Zhang, T.T., et al.: High-efficiency three-party quantum key agreement protocol with quantum dense coding and Bell states. Int. J. Theor. Phys. 58, 2834\u20132846 (2019)","journal-title":"Int. J. Theor. Phys."},{"key":"4157_CR10","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1007\/s11128-022-03640-4","volume":"21","author":"YF He","year":"2022","unstructured":"He, Y.F., Pang, Y.B., Di, M.: Mutual authentication quantum key agreement protocol based on Bell states. Quantum Inf. Process. 21, 290 (2022)","journal-title":"Quantum Inf. Process."},{"key":"4157_CR11","volume":"99","author":"M Boyer","year":"2007","unstructured":"Boyer, M., Kenigsberg, D., Mor, T.: Quantum key distribution with classical Bob. Phys. Rev. Lett. 99, 140501 (2007)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR12","doi-asserted-by":"crossref","first-page":"16025","DOI":"10.1038\/npjqi.2016.25","volume":"2","author":"E Diamanti","year":"2016","unstructured":"Diamanti, E., Lo, H.K., Qi, B., et al.: Practical challenges in quantum key distribution. NPJ Quantum Inf. 2, 16025 (2016)","journal-title":"NPJ Quantum Inf."},{"key":"4157_CR13","doi-asserted-by":"crossref","first-page":"010502","DOI":"10.1103\/PhysRevLett.125.010502","volume":"125","author":"YC Zhang","year":"2020","unstructured":"Zhang, Y.C., Chen, Z.Y., Pirandola, S., et al.: Long-distance continuous-variable quantum key distribution over 202.81 km of fiber. Phys. Rev. Lett. 125, 010502 (2020)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR14","doi-asserted-by":"crossref","first-page":"4091","DOI":"10.1103\/PhysRevLett.74.4091","volume":"74","author":"JI Cirac","year":"1995","unstructured":"Cirac, J.I., Zoller, P.: Quantum computations with cold trapped ions. Phys. Rev. Lett. 74, 4091\u20134094 (1995)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR15","first-page":"5","volume":"110","author":"GR Feng","year":"2013","unstructured":"Feng, G.R., Xu, G.F., Long, G.L.: Experimental realization of nonadiabatic holonomic quantum computation. Phys. Rev. Lett. 110, 5 (2013)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR16","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1038\/ncomms1631","volume":"3","author":"M Tomamichel","year":"2012","unstructured":"Tomamichel, M., Lim, C.C.W., Gisin, N., et al.: Tight finite-key analysis for quantum cryptography. Nat. Commun. 3, 6 (2012)","journal-title":"Nat. Commun."},{"key":"4157_CR17","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1364\/AOP.361502","volume":"12","author":"S Pirandola","year":"2020","unstructured":"Pirandola, S., Andersen, U.L., Banchi, L., et al.: Advances in quantum cryptography. Adv. Opt. Photonics. 12, 1012\u20131236 (2020)","journal-title":"Adv. Opt. Photonics."},{"key":"4157_CR18","volume":"89","author":"K Wang","year":"2014","unstructured":"Wang, K., Yu, X.-T., Lu, S.-L., et al.: Quantum wireless multihop communication based on arbitrary Bell pairs and teleportation. Phys. Rev. A 89, 022329 (2014)","journal-title":"Phys. Rev. A"},{"key":"4157_CR19","doi-asserted-by":"crossref","first-page":"2150053","DOI":"10.1142\/S021773232150053X","volume":"36","author":"N Fatahi","year":"2021","unstructured":"Fatahi, N.: Multi-hop teleportation of N-qubit state via Bell states. Mod. Phys. Lett. A 36, 2150053 (2021)","journal-title":"Mod. Phys. Lett. A"},{"key":"4157_CR20","doi-asserted-by":"crossref","first-page":"936","DOI":"10.1109\/LCOMM.2020.3036587","volume":"25","author":"V Verma","year":"2021","unstructured":"Verma, V.: Bidirectional quantum teleportation by using two GHZ-states as the quantum channel. IEEE Commun. Lett. 25, 936\u2013939 (2021)","journal-title":"IEEE Commun. Lett."},{"key":"4157_CR21","doi-asserted-by":"crossref","first-page":"2488","DOI":"10.1007\/s10773-020-04609-8","volume":"60","author":"S Shuai","year":"2020","unstructured":"Shuai, S., Chen, N., Yan, B., et al.: Faithful multihop two-qubit transmission through GHZ-GHZ channel. Int. J. Theor. Phys. 60, 2488\u20132498 (2020)","journal-title":"Int. J. Theor. Phys."},{"key":"4157_CR22","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/s11128-022-03761-w","volume":"21","author":"MT Wang","year":"2022","unstructured":"Wang, M.T., Li, H.S.: Bidirectional quantum teleportation using a five-qubit cluster state as a quantum channel. Quantum Inf. Process. 21, 11 (2022)","journal-title":"Quantum Inf. Process."},{"key":"4157_CR23","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1007\/s11128-021-03308-5","volume":"20","author":"N Fatahi","year":"2021","unstructured":"Fatahi, N., Naseri, M.: Quantum teleportation of a N-qubit entangled state by using a (N+1)-qubit cluster state. Quantum Inf. Process. 20, 10 (2021)","journal-title":"Quantum Inf. Process."},{"key":"4157_CR24","doi-asserted-by":"crossref","first-page":"3870","DOI":"10.1007\/s10773-013-1694-0","volume":"52","author":"A Yan","year":"2013","unstructured":"Yan, A.: Bidirectional controlled teleportation via six-qubit cluster state. Int. J. Theor. Phys. 52, 3870\u20133873 (2013)","journal-title":"Int. J. Theor. Phys."},{"key":"4157_CR25","doi-asserted-by":"crossref","first-page":"1911","DOI":"10.1007\/s10773-021-04810-3","volume":"60","author":"DF Li","year":"2021","unstructured":"Li, D.F., Zheng, Y.D., Liu, X.F., et al.: Hierarchical quantum teleportation of arbitrary single-qubit state by using four-qubit cluster state. Int. J. Theor. Phys. 60, 1911\u20131919 (2021)","journal-title":"Int. J. Theor. Phys."},{"key":"4157_CR26","doi-asserted-by":"crossref","first-page":"1337","DOI":"10.1016\/j.physleta.2013.04.010","volume":"377","author":"C Shukla","year":"2013","unstructured":"Shukla, C., Pathak, A.: Hierarchical quantum communication. Phys. Lett. A 377, 1337\u20131344 (2013)","journal-title":"Phys. Lett. A"},{"key":"4157_CR27","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1088\/1464-4266\/6\/1\/017","volume":"6","author":"HY Dai","year":"2004","unstructured":"Dai, H.Y., Chen, P.X., Li, C.Z.: Probabilistic teleportation of an arbitrary two-particle state by two partial three-particle entangled W states. J. Opt. B-Quantum Semicl. Opt. 6, 106\u2013109 (2004)","journal-title":"J. Opt. B-Quantum Semicl. Opt."},{"key":"4157_CR28","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1134\/S1063776120090010","volume":"131","author":"S Adhikari","year":"2020","unstructured":"Adhikari, S.: Probabilistic teleportation of a single qubit: unearthing new W-class of states. J. Exp. Theor. Phys. 131, 375\u2013384 (2020)","journal-title":"J. Exp. Theor. Phys."},{"key":"4157_CR29","doi-asserted-by":"crossref","first-page":"1630","DOI":"10.1007\/s10773-013-1484-8","volume":"52","author":"YH Li","year":"2013","unstructured":"Li, Y.H., Nie, L.P.: Bidirectional controlled teleportation by using a five-qubit composite GHZ-Bell state. Int. J. Theor. Phys. 52, 1630\u20131634 (2013)","journal-title":"Int. J. Theor. Phys."},{"key":"4157_CR30","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.physleta.2016.10.048","volume":"381","author":"ZZ Zou","year":"2017","unstructured":"Zou, Z.Z., Yu, X.T., Gong, Y.X., et al.: Multihop teleportation of two-qubit state via the composite GHZ-Bell channel. Phys. Lett. A 381, 76\u201381 (2017)","journal-title":"Phys. Lett. A"},{"key":"4157_CR31","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/s11128-021-03121-0","volume":"20","author":"Y-L Yang","year":"2021","unstructured":"Yang, Y.-L., Yang, Y.-G., Zhou, Y.-H., et al.: Efficient quantum multi-hop communication based on Greenberger\u2013Horne\u2013Zeilinger states and Bell states. Quantum Inf. Process. 20, 189 (2021)","journal-title":"Quantum Inf. Process."},{"key":"4157_CR32","first-page":"6","volume":"19","author":"H Yuan","year":"2022","unstructured":"Yuan, H., Zhang, G., Xie, C.M., et al.: Improving the scheme of bidirectional controlled teleportation with a five-qubit composite GHZ-Bell state. Laser Phys. Lett. 19, 6 (2022)","journal-title":"Laser Phys. Lett."},{"key":"4157_CR33","first-page":"5","volume":"25","author":"HT Zhan","year":"2016","unstructured":"Zhan, H.T., Yu, X.T., Xiong, P.Y., et al.: Multi-hop teleportation based on W state and EPR pairs. Chin. Phys. B 25, 5 (2016)","journal-title":"Chin. Phys. B"},{"key":"4157_CR34","doi-asserted-by":"crossref","first-page":"3605","DOI":"10.1007\/s10773-018-3874-4","volume":"57","author":"ZH Zhang","year":"2018","unstructured":"Zhang, Z.H., Wang, J.W., Sun, M.: Multihop teleportation via the composite of asymmetric W state and Bell state. Int. J. Theor. Phys. 57, 3605\u20133620 (2018)","journal-title":"Int. J. Theor. Phys."},{"key":"4157_CR35","doi-asserted-by":"crossref","first-page":"678","DOI":"10.1038\/nphys417","volume":"2","author":"Q Zhang","year":"2006","unstructured":"Zhang, Q., Goebel, A., Wagenknecht, C., et al.: Experimental quantum teleportation of a two-qubit composite system. Nat. Phys. 2, 678\u2013682 (2006)","journal-title":"Nat. Phys."},{"key":"4157_CR36","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1038\/nature11472","volume":"489","author":"XS Ma","year":"2012","unstructured":"Ma, X.S., Herbst, T., Scheidl, T., et al.: Quantum teleportation over 143 kilometres using active feed-forward. Nature 489, 269\u2013273 (2012)","journal-title":"Nature"},{"key":"4157_CR37","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1364\/JOSAB.31.000154","volume":"31","author":"PS Bhatia","year":"2014","unstructured":"Bhatia, P.S.: Experimental tripartite quantum state sharing and perfect teleportation of the two-qubit photonic state using genuinely entangled multipartite states. J. Opt. Soc. Am. B-Opt. Phys. 31, 154\u2013163 (2014)","journal-title":"J. Opt. Soc. Am. B-Opt. Phys."},{"key":"4157_CR38","first-page":"5","volume":"5","author":"JY Hu","year":"2016","unstructured":"Hu, J.Y., Yu, B., Jing, M.Y., et al.: Experimental quantum secure direct communication with single photons. Light-Sci. Appl. 5, 5 (2016)","journal-title":"Light-Sci. Appl."},{"key":"4157_CR39","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1103\/PhysRevLett.122.170501","volume":"122","author":"A Barasinski","year":"2019","unstructured":"Barasinski, A., Cernoch, A., Lemr, K.: Demonstration of controlled quantum teleportation for discrete variables on linear optical devices. Phys. Rev. Lett. 122, 6 (2019)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR40","volume":"125","author":"XM Hu","year":"2020","unstructured":"Hu, X.M., Zhang, C., Liu, B.H., et al.: Experimental high-dimensional quantum teleportation. Phys. Rev. Lett. 125, 230501 (2020)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR41","first-page":"7","volume":"103","author":"SA Ru","year":"2021","unstructured":"Ru, S.A., An, M., Yang, Y., et al.: Quantum state transfer between two photons with polarization and orbital angular momentum via quantum teleportation technology. Phys. Rev. A 103, 7 (2021)","journal-title":"Phys. Rev. A"},{"key":"4157_CR42","first-page":"6","volume":"31","author":"XF Liu","year":"2022","unstructured":"Liu, X.F., Li, D.F., Zheng, Y.D., et al.: Experimental realization of quantum controlled teleportation of arbitrary two-qubit state via a five-qubit entangled state. Chin. Phys. B 31, 6 (2022)","journal-title":"Chin. Phys. B"},{"key":"4157_CR43","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1038\/s41377-022-00769-w","volume":"11","author":"HR Zhang","year":"2022","unstructured":"Zhang, H.R., Sun, Z., Qi, R.Y., et al.: Realization of quantum secure direct communication over 100 km fiber with time-bin and phase quantum states. Light-Sci. Appl. 11, 83 (2022)","journal-title":"Light-Sci. Appl."},{"key":"4157_CR44","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/s11128-016-1460-3","volume":"16","author":"M Sisodia","year":"2017","unstructured":"Sisodia, M., Shukla, A., Thapliyal, K., et al.: Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state. Quantum Inf. Process. 16, 19 (2017)","journal-title":"Quantum Inf. Process."},{"key":"4157_CR45","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.69.062311","volume":"69","author":"M Hein","year":"2004","unstructured":"Hein, M., Eisert, J., Briegel, H.J.: Multiparty entanglement in graph states. Phys. Rev. A 69, 062311 (2004)","journal-title":"Phys. Rev. A"},{"key":"4157_CR46","doi-asserted-by":"crossref","first-page":"3658","DOI":"10.1038\/ncomms4658","volume":"5","author":"BA Bell","year":"2014","unstructured":"Bell, B.A., Herrera-Marti, D.A., Tame, M.S., et al.: Experimental demonstration of a graph state quantum error-correction code. Nat. Commun. 5, 3658 (2014)","journal-title":"Nat. Commun."},{"key":"4157_CR47","volume":"105","author":"PC Liao","year":"2022","unstructured":"Liao, P.C., Sanders, B.C., Feder, D.L.: Topological graph states and quantum error-correction codes. Phys. Rev. A 105, 042418 (2022)","journal-title":"Phys. Rev. A"},{"key":"4157_CR48","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.105.032450","volume":"105","author":"RR Vandermolen","year":"2022","unstructured":"Vandermolen, R.R., Wright, D.: Graph-theoretic approach to quantum error correction. Phys. Rev. A 105, 032450 (2022)","journal-title":"Phys. Rev. A"},{"key":"4157_CR49","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1103\/PhysRevA.78.042309","volume":"78","author":"D Markham","year":"2008","unstructured":"Markham, D., Sanders, B.C.: Graph states for quantum secret sharing. Phys. Rev. A 78, 17 (2008)","journal-title":"Phys. Rev. A"},{"key":"4157_CR50","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1103\/PhysRevA.82.062315","volume":"82","author":"A Keet","year":"2010","unstructured":"Keet, A., Fortescue, B., Markham, D., et al.: Quantum secret sharing with qudit graph states. Phys. Rev. A 82, 11 (2010)","journal-title":"Phys. Rev. A"},{"key":"4157_CR51","volume":"86","author":"P Sarvepalli","year":"2012","unstructured":"Sarvepalli, P.: Nonthreshold quantum secret-sharing schemes in the graph-state formalism. Phys. Rev. A 86, 042303 (2012)","journal-title":"Phys. Rev. A"},{"key":"4157_CR52","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1007\/s11128-013-0713-7","volume":"13","author":"YD Wu","year":"2014","unstructured":"Wu, Y.D., Cai, R.Z., He, G.Q., et al.: Quantum secret sharing with continuous variable graph state. Quantum Inf. Process. 13, 1085\u20131102 (2014)","journal-title":"Quantum Inf. Process."},{"key":"4157_CR53","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.103.030502","volume":"103","author":"D Cavalcanti","year":"2009","unstructured":"Cavalcanti, D., Chaves, R., Aolita, L., et al.: Open-system dynamics of graph-state entanglement. Phys. Rev. Lett. 103, 030502 (2009)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR54","volume":"86","author":"P Xue","year":"2012","unstructured":"Xue, P.: Spin-squeezing property of weighted graph states. Phys. Rev. A 86, 023812 (2012)","journal-title":"Phys. Rev. A"},{"key":"4157_CR55","volume":"21","author":"X Peng","year":"2012","unstructured":"Peng, X.: Improved frequency standard via weighted graph states. Chin. Phys. B 21, 100306 (2012)","journal-title":"Chin. Phys. B"},{"key":"4157_CR56","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.100.052333","volume":"100","author":"C Meignant","year":"2019","unstructured":"Meignant, C., Markham, D., Grosshans, F.: Distributing graph states over arbitrary quantum networks. Phys. Rev. A 100, 052333 (2019)","journal-title":"Phys. Rev. A"},{"key":"4157_CR57","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1007\/s11128-019-2387-2","volume":"18","author":"A Raina","year":"2019","unstructured":"Raina, A., Garani, S.S.: Recovery from an eavesdropping attack on a qubit of a graph state. Quantum Inf. Process. 18, 274 (2019)","journal-title":"Quantum Inf. Process."},{"key":"4157_CR58","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.98.022310","volume":"98","author":"L Gyongyosi","year":"2018","unstructured":"Gyongyosi, L., Imre, S.: Decentralized base-graph routing for the quantum internet. Phys. Rev. A 98, 022310 (2018)","journal-title":"Phys. Rev. A"},{"key":"4157_CR59","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1038\/s41534-019-0191-6","volume":"5","author":"F Hahn","year":"2019","unstructured":"Hahn, F., Pappa, A., Eisert, J.: Quantum network routing and local complementation. NPJ Quantum Inf. 5, 76 (2019)","journal-title":"NPJ Quantum Inf."},{"key":"4157_CR60","volume":"73","author":"J Zhang","year":"2006","unstructured":"Zhang, J., Braunstein, S.L.: Continuous-variable gaussian analog of cluster states. Phys. Rev. A 73, 032318 (2006)","journal-title":"Phys. Rev. A"},{"key":"4157_CR61","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.76.032321","volume":"76","author":"P Van Loock","year":"2007","unstructured":"Van Loock, P., Weedbrook, C., Gu, M.: Building gaussian cluster states by linear optics. Phys. Rev. A 76, 032321 (2007)","journal-title":"Phys. Rev. A"},{"key":"4157_CR62","volume":"78","author":"LJ Ren","year":"2008","unstructured":"Ren, L.J., He, G.Q., Zeng, G.H.: Universal teleportation via continuous-variable graph states. Phys. Rev. A 78, 042302 (2008)","journal-title":"Phys. Rev. A"},{"key":"4157_CR63","doi-asserted-by":"crossref","unstructured":"Huang, C.Y., Yu, I.C., Lin, F.L., et al.: Deterministic dense coding and faithful teleportation with multipartite graph states. Phys. Rev. A. 79 (2009)","DOI":"10.1103\/PhysRevA.79.052306"},{"key":"4157_CR64","volume":"79","author":"CY Huang","year":"2009","unstructured":"Huang, C.Y., Yu, I.C., Lin, F.L., et al.: Deterministic dense coding and faithful teleportation with multipartite graph states. Phys. Rev. A 79, 052306 (2009)","journal-title":"Phys. Rev. A"},{"key":"4157_CR65","doi-asserted-by":"crossref","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, 910\u2013913 (2001)","journal-title":"Phys. Rev. Lett."},{"key":"4157_CR66","doi-asserted-by":"crossref","first-page":"3033","DOI":"10.1007\/s10773-011-0803-1","volume":"50","author":"MZ Piao","year":"2011","unstructured":"Piao, M.Z., Wang, H.F., Shao, X.Q., et al.: Generation of multi-qubit graph states via spin networks. Int. J. Theor. Phys. 50, 3033\u20133042 (2011)","journal-title":"Int. J. Theor. Phys."},{"key":"4157_CR67","doi-asserted-by":"crossref","unstructured":"Akhound, A., Haddadi, S., Motlagh, M.A.C.: Analyzing the entanglement properties of graph states with generalized concurrence. Mod. Phys. Lett. B. 33, 7 (2019)","DOI":"10.1142\/S0217984919501185"},{"key":"4157_CR68","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.69.022316","volume":"69","author":"M Van Den Nest","year":"2004","unstructured":"Van Den Nest, M., Dehaene, J., De Moor, B.: Graphical description of the action of local Clifford transformations on graph states. Phys. Rev. A 69, 022316 (2004)","journal-title":"Phys. Rev. A"},{"key":"4157_CR69","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1088\/0953-4075\/41\/14\/145506","volume":"41","author":"H Yuan","year":"2008","unstructured":"Yuan, H., Liu, Y.M., Zhang, W., et al.: Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing. J. Phys. B-At. Mol. Opt. Phys. 41, 6 (2008)","journal-title":"J. Phys. B-At. Mol. Opt. Phys."},{"key":"4157_CR70","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/s11128-013-0670-1","volume":"13","author":"G Xu","year":"2014","unstructured":"Xu, G., Wang, C., Yang, Y.X.: Hierarchical quantum information splitting of an arbitrary two-qubit state via the cluster state. Quantum Inf. Process. 13, 43\u201357 (2014)","journal-title":"Quantum Inf. Process."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-04157-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-023-04157-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-04157-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,29]],"date-time":"2023-11-29T23:03:52Z","timestamp":1701299032000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-023-04157-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,3]]},"references-count":70,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2023,11]]}},"alternative-id":["4157"],"URL":"https:\/\/doi.org\/10.1007\/s11128-023-04157-0","relation":{},"ISSN":["1573-1332"],"issn-type":[{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,3]]},"assertion":[{"value":"28 February 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 October 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 November 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that there is no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"400"}}