{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T15:30:24Z","timestamp":1773847824634,"version":"3.50.1"},"reference-count":79,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2021,1]]},"DOI":"10.1007\/s11128-020-02893-1","type":"journal-article","created":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T07:03:09Z","timestamp":1609916589000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Deterministic tripartite sharing of an arbitrary single-qubit operation with the five-qubit cluster state in a given entanglement structure"],"prefix":"10.1007","volume":"20","author":[{"given":"Zhanjun","family":"Zhang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9416-2929","authenticated-orcid":false,"given":"Hao","family":"Yuan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,1,6]]},"reference":[{"key":"2893_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., Cr\u00e9peau, 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, 1895 (1993)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR2","doi-asserted-by":"crossref","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, 575 (1997)","journal-title":"Nature"},{"key":"2893_CR3","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1126\/science.282.5389.706","volume":"282","author":"A Furusawa","year":"1998","unstructured":"Furusawa, A., S\u00f8rensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282, 706 (1998)","journal-title":"Science"},{"key":"2893_CR4","doi-asserted-by":"crossref","first-page":"032318","DOI":"10.1103\/PhysRevA.82.032318","volume":"82","author":"YB Sheng","year":"2010","unstructured":"Sheng, Y.B., Deng, F.G., Long, G.L.: Complete hyperentangled-Bell-state analysis for quantum communication. Phys. Rev. A 82, 032318 (2010)","journal-title":"Phys. Rev. A"},{"key":"2893_CR5","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1038\/nature14246","volume":"518","author":"XL Wang","year":"2015","unstructured":"Wang, X.L., Cai, X.D., Su, Z.E., Chen, M.C., Wu, D., Li, L., Liu, N.L., Lu, C.Y., Pan, J.W.: Quantum teleportation of multiple degrees of freedom of a single photon. Nature 518, 516 (2015)","journal-title":"Nature"},{"key":"2893_CR6","doi-asserted-by":"crossref","first-page":"042314","DOI":"10.1103\/PhysRevA.92.042314","volume":"92","author":"L Zhou","year":"2015","unstructured":"Zhou, L., Sheng, Y.B.: Complete logic Bell-state analysis assisted with photonic Faraday rotation. Phys. Rev. A 92, 042314 (2015)","journal-title":"Phys. Rev. A"},{"key":"2893_CR7","doi-asserted-by":"crossref","first-page":"13453","DOI":"10.1038\/srep13453","volume":"5","author":"YB Sheng","year":"2015","unstructured":"Sheng, Y.B., Zhou, L.: Two-step complete polarization logic Bell-state analysis. Sci. Rep. 5, 13453 (2015)","journal-title":"Sci. Rep."},{"key":"2893_CR8","unstructured":"Hu, X.M., Zhang, C., Liu, B.H., Huang, Y.F., Li, C.F., Guo, G.C.: Experimental multi-level quantum teleportation. arXiv:1904.12249 (2019)"},{"key":"2893_CR9","doi-asserted-by":"crossref","first-page":"070505","DOI":"10.1103\/PhysRevLett.123.070505","volume":"123","author":"YH Luo","year":"2019","unstructured":"Luo, Y.H., Zhong, H.S., Erhard, M., Wang, X.L., Peng, L.C., Krenn, M., Jiang, X., Li, L., Liu, N.L., Lu, C.Y., Zeilinger, A., Pan, J.W.: Quantum teleportation in high dimensions. Phys. Rev. Lett. 123, 070505 (2019)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR10","first-page":"e13","volume":"1","author":"XM Hu","year":"2019","unstructured":"Hu, X.M., Zhang, C., Zhang, C.J., Liu, B.H., Huang, Y.F., Han, Y.J., Li, C.F., Guo, G.C.: Experimental certification for nonclassical teleportation. Quantum Eng. 1, e13 (2019)","journal-title":"Quantum Eng."},{"key":"2893_CR11","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/s11128-019-2456-6","volume":"18","author":"MS Sadeghi-Zadeh","year":"2019","unstructured":"Sadeghi-Zadeh, M.S., Houshmand, M., Aghababa, H., Kochakzadeh, M.H., Zarmehi, F.: Bidirectional quantum teleportation of an arbitrary number of qubits over noisy channel. Quantum Inf. Process. 18, 353 (2019)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR12","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/s11128-019-2252-3","volume":"18","author":"DF Li","year":"2019","unstructured":"Li, D.F., Wang, R.J., Baagyere, E.: Quantum teleportation of an arbitrary two-qubit state by using two three-qubit GHZ states and the six-qubit entangled state. Quantum Inf. Process. 18, 147 (2019)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR13","doi-asserted-by":"crossref","first-page":"1829","DOI":"10.1103\/PhysRevA.59.1829","volume":"59","author":"M Hillery","year":"1999","unstructured":"Hillery, M., Bu\u017eek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)","journal-title":"Phys. Rev. A"},{"key":"2893_CR14","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1145\/359168.359176","volume":"22","author":"A Shamir","year":"1979","unstructured":"Shamir, A.: How to share a secret. Commun. ACM 22, 612 (1979)","journal-title":"Commun. ACM"},{"key":"2893_CR15","doi-asserted-by":"crossref","first-page":"042303","DOI":"10.1103\/PhysRevA.63.042303","volume":"63","author":"SF Huelga","year":"2001","unstructured":"Huelga, S.F., Vaccaro, J.A., Chefles, A.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63, 042303 (2001)","journal-title":"Phys. Rev. A"},{"key":"2893_CR16","doi-asserted-by":"crossref","first-page":"042316","DOI":"10.1103\/PhysRevA.65.042316","volume":"65","author":"SF Huelga","year":"2002","unstructured":"Huelga, S.F., Plenio, M.B., Vaccaro, J.A.: Remote control of restricted sets of operations: teleportation of angles. Phys. Rev. A 65, 042316 (2002)","journal-title":"Phys. Rev. A"},{"key":"2893_CR17","doi-asserted-by":"crossref","first-page":"057901","DOI":"10.1103\/PhysRevLett.89.057901","volume":"89","author":"W D\u00fcr","year":"2002","unstructured":"D\u00fcr, W., Vidal, G., Cirac, J.I.: Optimal conversion of nonlocal unitary operations. Phys. Rev. Lett. 89, 057901 (2002)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR18","doi-asserted-by":"crossref","first-page":"165508","DOI":"10.1088\/0953-4075\/44\/16\/165508","volume":"44","author":"ZJ Zhang","year":"2011","unstructured":"Zhang, Z.J., Cheung, C.Y.: Shared quantum remote control: quantum operation sharing. J. Phys. B 44, 165508 (2011)","journal-title":"J. Phys. B"},{"key":"2893_CR19","doi-asserted-by":"crossref","first-page":"020301","DOI":"10.1088\/0256-307X\/30\/2\/020301","volume":"30","author":"BL Ye","year":"2013","unstructured":"Ye, B.L., Liu, Y.M., Liu, X.S., Zhang, Z.J.: Remotely sharing a single-qubit operation with a five-qubit genuine state. Chin. Phys. Lett. 30, 020301 (2013)","journal-title":"Chin. Phys. Lett."},{"key":"2893_CR20","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1088\/0253-6102\/60\/2\/04","volume":"60","author":"QB Ji","year":"2013","unstructured":"Ji, Q.B., Liu, Y.M., Liu, X.S., Yin, X.F., Zhang, Z.J.: Single-qubit operation sharing with Bell and W product states. Commun. Theor. Phys. 60, 165 (2013)","journal-title":"Commun. Theor. Phys."},{"key":"2893_CR21","doi-asserted-by":"crossref","first-page":"2453","DOI":"10.1007\/s11128-013-0533-9","volume":"12","author":"QB Ji","year":"2013","unstructured":"Ji, Q.B., Liu, Y.M., Yin, X.F., Liu, X.S., Zhang, Z.J.: Quantum operation sharing with symmetric and asymmetric W states. Quantum Inf. Process. 12, 2453 (2013)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR22","doi-asserted-by":"crossref","first-page":"2497","DOI":"10.1007\/s11128-013-0537-5","volume":"12","author":"SF Wang","year":"2013","unstructured":"Wang, S.F., Liu, Y.M., Chen, J.L., Liu, X.S., Zhang, Z.J.: Deterministic single-qubit operation sharing with five-qubit cluster state. Quantum Inf. Process. 12, 2497 (2013)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR23","doi-asserted-by":"crossref","first-page":"1450012","DOI":"10.1142\/S0219749914500129","volume":"12","author":"H Xing","year":"2014","unstructured":"Xing, H., Liu, D.C., Xing, P.F., Xie, C.M., Liu, X.S., Zhang, Z.J.: Deterministic tripartite sharing of eight restricted sets of single-qubit operations with two Bell states or a GHZ state. Int. J. Quantum Inf. 12, 1450012 (2014)","journal-title":"Int. J. Quantum Inf."},{"key":"2893_CR24","doi-asserted-by":"crossref","first-page":"1659","DOI":"10.1007\/s11128-014-0759-1","volume":"13","author":"QB Ji","year":"2014","unstructured":"Ji, Q.B., Liu, Y.M., Xie, C.M., Yin, X.F., Zhang, Z.J.: Tripartite quantum operation sharing with two asymmetric three-qubit W states in five entanglement structures. Quantum Inf. Process. 13, 1659 (2014)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR25","doi-asserted-by":"crossref","first-page":"877","DOI":"10.1007\/s10773-014-2283-6","volume":"54","author":"YJ Duan","year":"2015","unstructured":"Duan, Y.J., Zha, X.W.: Remotely sharing a single-qubit operation via a six-qubit entangled state. Int. J. Theor. Phys. 54, 877 (2015)","journal-title":"Int. J. Theor. Phys."},{"key":"2893_CR26","doi-asserted-by":"crossref","first-page":"841","DOI":"10.3390\/e17020841","volume":"17","author":"CM Xie","year":"2015","unstructured":"Xie, C.M., Liu, Y.M., Xing, H., Zhang, Z.J.: Probabilistic three-party sharing of operation on a remote qubit. Entropy 17, 841 (2015)","journal-title":"Entropy"},{"key":"2893_CR27","doi-asserted-by":"crossref","first-page":"4255","DOI":"10.1007\/s11128-015-1123-9","volume":"14","author":"J Peng","year":"2015","unstructured":"Peng, J.: Tripartite operation sharing with a six-particle maximally entangled state. Quant. Inf. Process. 14, 4255 (2015)","journal-title":"Quant. Inf. Process."},{"key":"2893_CR28","doi-asserted-by":"crossref","first-page":"660302","DOI":"10.1007\/s11433-016-0021-5","volume":"59","author":"KJ Zhang","year":"2016","unstructured":"Zhang, K.J., Zhang, L., Song, T.T., Yang, Y.H.: A potential application in quantum networks\u2014deterministic quantum operation sharing schemes with Bell states. Sci. China-Phys. Mech. Astron. 59, 660302 (2016)","journal-title":"Sci. China-Phys. Mech. Astron."},{"key":"2893_CR29","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 (2001)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR30","doi-asserted-by":"crossref","first-page":"032350","DOI":"10.1103\/PhysRevA.71.032350","volume":"71","author":"M Hein","year":"2005","unstructured":"Hein, M., D\u00fcr, W., Briegel, H.J.: Entanglement properties of multipartite entangled states under the influence of decoherence. Phys. Rev. A 71, 032350 (2005)","journal-title":"Phys. Rev. A"},{"key":"2893_CR31","doi-asserted-by":"crossref","first-page":"042335","DOI":"10.1103\/PhysRevA.78.042335","volume":"78","author":"G Vallone","year":"2008","unstructured":"Vallone, G., Pomarico, E., Martini, D.E., Mataloni, P.: One-way quantum computation with two-photon multiqubit cluster states. Phys. Rev. A 78, 042335 (2008)","journal-title":"Phys. Rev. A"},{"key":"2893_CR32","doi-asserted-by":"crossref","first-page":"062333","DOI":"10.1103\/PhysRevA.78.062333","volume":"78","author":"S Muralidharan","year":"2008","unstructured":"Muralidharan, S., Panigrahi, P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)","journal-title":"Phys. Rev. A"},{"key":"2893_CR33","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1007\/s11128-010-0217-7","volume":"10","author":"N Paul","year":"2011","unstructured":"Paul, N., Menon, J.V., Karumanchi, S., Muralidharan, S., Panigrahi, P.K.: Quantum tasks using six qubit cluster states. Quantum Inf. Process. 10, 619 (2011)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR34","doi-asserted-by":"crossref","first-page":"3745","DOI":"10.1007\/s11128-013-0633-6","volume":"12","author":"ZH Liu","year":"2013","unstructured":"Liu, Z.H., Chen, H.W., Liu, W.J., Xu, J.: Quantum simultaneous secret distribution with dense coding by using cluster states. Quantum Inf. Process. 12, 3745 (2013)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR35","doi-asserted-by":"crossref","first-page":"1321","DOI":"10.1007\/s11128-012-0474-8","volume":"12","author":"ZY Wang","year":"2013","unstructured":"Wang, Z.Y.: Highly efficient remote preparation of an arbitrary three-qubit state via a four-qubit cluster state and an EPR state. Quantum Inf. Process. 12, 1321 (2013)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR36","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/s11128-015-1155-1","volume":"15","author":"ZW Sun","year":"2016","unstructured":"Sun, Z.W., Yu, J.P., Wang, P.: Efficient multi-party quantum key agreement by cluster states. Quantum Inf. Process. 15, 373 (2016)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR37","doi-asserted-by":"crossref","first-page":"2487","DOI":"10.1007\/s11128-016-1293-0","volume":"15","author":"YG Yang","year":"2016","unstructured":"Yang, Y.G., Lei, H., Liu, Z.C., Zhou, Y.H., Shi, W.M.: Arbitrated quantum signature scheme based on cluster states. Quantum Inf. Process. 15, 2487 (2016)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR38","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/s11128-017-1597-8","volume":"16","author":"SH Kao","year":"2017","unstructured":"Kao, S.H., Hwang, T.: Controlled quantum dialogue using cluster states. Quantum Inf. Process. 16, 139 (2017)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR39","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/s11128-016-1500-z","volume":"16","author":"Y Yu","year":"2017","unstructured":"Yu, Y., Zha, X.W., Li, W.: Quantum broadcast scheme and multi-output quantum teleportation via four-qubit cluster state. Quantum Inf. Process. 16, 41 (2017)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR40","doi-asserted-by":"crossref","first-page":"97","DOI":"10.4236\/jqis.2014.42010","volume":"4","author":"D Saha","year":"2014","unstructured":"Saha, D., Nandan, S., Panigrahi, P.K.: Local implementations of non-local quantum gates in linear entangled Channel. J. Quantum Inf. Sci. 4, 97 (2014)","journal-title":"J. Quantum Inf. Sci."},{"key":"2893_CR41","doi-asserted-by":"crossref","first-page":"3855","DOI":"10.1007\/s11128-016-1344-6","volume":"15","author":"N Vyas","year":"2016","unstructured":"Vyas, N., Saha, D., Panigrahi, P.K.: Rooted-tree network for optimal non-local gate implementation. Quantntum Inf. Process. 15, 3855 (2016)","journal-title":"Quantntum Inf. Process."},{"key":"2893_CR42","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1007\/s11128-018-2051-2","volume":"17","author":"PK Vishnu","year":"2018","unstructured":"Vishnu, P.K., Joy, D., Behera, B.K., Panigrahi, P.K.: Experimental demonstration of non-local controlled-unitary quantum gates using a five-qubit quantum computer. Quantum Inf. Process. 17, 274 (2018)","journal-title":"Quantum Inf. Process."},{"key":"2893_CR43","doi-asserted-by":"crossref","first-page":"3824","DOI":"10.1103\/PhysRevA.54.3824","volume":"54","author":"CH Bennett","year":"1996","unstructured":"Bennett, C.H., Divinecnzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824 (1996)","journal-title":"Phys. Rev. A"},{"key":"2893_CR44","doi-asserted-by":"crossref","first-page":"2050","DOI":"10.1126\/science.283.5410.2050","volume":"283","author":"HK Lo","year":"1999","unstructured":"Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)","journal-title":"Science"},{"key":"2893_CR45","doi-asserted-by":"crossref","first-page":"180505","DOI":"10.1103\/PhysRevLett.99.180505","volume":"99","author":"S Chen","year":"2007","unstructured":"Chen, S., Chen, Y.A., Zhao, B., Yuan, Z.S., Schmiedmayer, J., Pan, J.W.: Demonstration of a stable atom-photon entanglement source for quantum repeaters. Phys. Rev. Lett. 99, 180505 (2007)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR46","doi-asserted-by":"crossref","first-page":"044305","DOI":"10.1103\/PhysRevA.82.044305","volume":"82","author":"YB Sheng","year":"2010","unstructured":"Sheng, Y.B., Deng, F.G.: One-step deterministic polarization-entanglement purification using spatial entanglement. Phys. Rev. A 82, 044305 (2010)","journal-title":"Phys. Rev. A"},{"key":"2893_CR47","doi-asserted-by":"crossref","first-page":"044301","DOI":"10.1103\/PhysRevA.71.044301","volume":"71","author":"ZJ Zhang","year":"2005","unstructured":"Zhang, Z.J., Li, Y., Man, Z.X.: Multiparty quantum secret sharing. Phys. Rev. A 71, 044301 (2005)","journal-title":"Phys. Rev. A"},{"key":"2893_CR48","doi-asserted-by":"crossref","first-page":"044302","DOI":"10.1103\/PhysRevA.72.044302","volume":"72","author":"FG Deng","year":"2005","unstructured":"Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.J.: Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys. Rev. A 72, 044302 (2005)","journal-title":"Phys. Rev. A"},{"key":"2893_CR49","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/j.physleta.2005.02.001","volume":"337","author":"FG Deng","year":"2005","unstructured":"Deng, F.G., Zhou, H.Y., Long, G.L.: Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys. Lett. A 337, 329 (2005)","journal-title":"Phys. Lett. A"},{"key":"2893_CR50","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/s100530170293","volume":"13","author":"E Solano","year":"2001","unstructured":"Solano, E., Cesar, C.I., de Matos Filho, R.L., Zagury, N.: Reliable teleportation in trapped ions. Eur. Phys. J. D 13, 121 (2001)","journal-title":"Eur. Phys. J. D"},{"key":"2893_CR51","doi-asserted-by":"crossref","first-page":"734","DOI":"10.1038\/nature02570","volume":"429","author":"M Riebe","year":"2004","unstructured":"Riebe, M., H\u00e4ffner, H., Roos, C.F., et al.: Deterministic quantum teleportation with atoms. Nature 429, 734 (2004)","journal-title":"Nature"},{"key":"2893_CR52","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1038\/nature02608","volume":"429","author":"MD Barrett","year":"2004","unstructured":"Barrett, M.D., Chiaverini, J., Schaetz, T., et al.: Deterministic quantum teleportation of atomic qubits. Nature 429, 737 (2004)","journal-title":"Nature"},{"key":"2893_CR53","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1038\/37539","volume":"390","author":"D Bouwmeester","year":"1997","unstructured":"Bouwmeester, D., Pan, J.W., Mattle, K., et al.: Experimental quantum teleportation. Nature 390, 575 (1997)","journal-title":"Nature"},{"key":"2893_CR54","doi-asserted-by":"crossref","first-page":"1121","DOI":"10.1103\/PhysRevLett.80.1121","volume":"80","author":"D Boschi","year":"1998","unstructured":"Boschi, D., Branca, S., Martini, F.D., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 80, 1121 (1998)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR55","doi-asserted-by":"crossref","first-page":"042334","DOI":"10.1103\/PhysRevA.86.042334","volume":"86","author":"HT Lim","year":"2012","unstructured":"Lim, H.T., Kim, Y.S., Ra, Y.S., Bae, J., Kim, Y.H.: Experimental realization of an approximate transpose operation for qutrit systems using a structural physical approximation. Phys. Rev. A 86, 042334 (2012)","journal-title":"Phys. Rev. A"},{"key":"2893_CR56","doi-asserted-by":"crossref","first-page":"3044","DOI":"10.1103\/PhysRevA.59.3044","volume":"59","author":"MS Kim","year":"1999","unstructured":"Kim, M.S., Agarwal, G.S.: Reconstruction of an entangled state in cavity QED. Phys. Rev. A 59, 3044 (1999)","journal-title":"Phys. Rev. A"},{"key":"2893_CR57","doi-asserted-by":"crossref","first-page":"064302","DOI":"10.1103\/PhysRevA.69.064302","volume":"69","author":"SB Zheng","year":"2004","unstructured":"Zheng, S.B.: Scheme for approximate conditional teleportation of an unknown atomic state without the Bell-state measurement. Phys. Rev. A 69, 064302 (2004)","journal-title":"Phys. Rev. A"},{"key":"2893_CR58","doi-asserted-by":"crossref","first-page":"065505","DOI":"10.1088\/0953-4075\/41\/6\/065505","volume":"41","author":"ZH Peng","year":"2008","unstructured":"Peng, Z.H., Zou, J., Liu, X.J.: Scheme for implementing efficient quantum information processing with multiqubit W-class states in cavity QED. J. Phys. B: At. Mol. Opt. Phys. 41, 065505 (2008)","journal-title":"J. Phys. B: At. Mol. Opt. Phys."},{"key":"2893_CR59","doi-asserted-by":"crossref","first-page":"160501","DOI":"10.1103\/PhysRevLett.95.160501","volume":"95","author":"J Cho","year":"2005","unstructured":"Cho, J., Lee, H.W.: Generation of atomic cluster states through the cavity input-output process. Phys. Rev. Lett. 95, 160501 (2005)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR60","doi-asserted-by":"crossref","first-page":"024303","DOI":"10.1103\/PhysRevA.74.024303","volume":"74","author":"XL Zhang","year":"2006","unstructured":"Zhang, X.L., Gao, K.L., Feng, M.: Preparation of cluster states and W states with superconducting quantum-interference-device qubits in cavity QED. Phys. Rev. A 74, 024303 (2006)","journal-title":"Phys. Rev. A"},{"key":"2893_CR61","doi-asserted-by":"crossref","first-page":"050301","DOI":"10.1103\/PhysRevA.75.050301","volume":"75","author":"GP Guo","year":"2007","unstructured":"Guo, G.P., Zhang, H., Tu, T., Guo, G.C.: One-step preparation of cluster states in quantum-dot molecules. Phys. Rev. A 75, 050301 (2007)","journal-title":"Phys. Rev. A"},{"key":"2893_CR62","doi-asserted-by":"crossref","first-page":"062319","DOI":"10.1103\/PhysRevA.79.062319","volume":"79","author":"D Gonta","year":"2009","unstructured":"Gonta, D., Radtke, T., Fritzsche, S.: Generation of two-dimensional cluster states by using high-finesse bimodal cavities. Phys. Rev. A 79, 062319 (2009)","journal-title":"Phys. Rev. A"},{"key":"2893_CR63","doi-asserted-by":"crossref","first-page":"093601","DOI":"10.1103\/PhysRevLett.105.093601","volume":"105","author":"SE Economou","year":"2010","unstructured":"Economou, S.E., Lindner, N., Rudolph, T.: Optically generated 2-dimensional photonic cluster state from coupled quantum dots. Phys. Rev. Lett. 105, 093601 (2010)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR64","doi-asserted-by":"crossref","first-page":"065801","DOI":"10.1103\/PhysRevA.85.065801","volume":"85","author":"L Sun","year":"2012","unstructured":"Sun, L., Li, G.: Preparation of four-mode cluster states with distant atomic ensembles. Phys. Rev. A 85, 065801 (2012)","journal-title":"Phys. Rev. A"},{"key":"2893_CR65","doi-asserted-by":"crossref","first-page":"044303","DOI":"10.1103\/PhysRevA.88.044303","volume":"88","author":"ZR Zhang","year":"2013","unstructured":"Zhang, Z.R., Li, C.Y., Wu, C.W., Dai, H.Y., Li, C.Z.: Creating cluster states in flux qubits with XY-type exchange interactions. Phys. Rev. A 88, 044303 (2013)","journal-title":"Phys. Rev. A"},{"key":"2893_CR66","doi-asserted-by":"crossref","first-page":"110501","DOI":"10.1103\/PhysRevLett.112.110501","volume":"112","author":"K Inaba","year":"2014","unstructured":"Inaba, K., Tokunaga, Y., Tamaki, K., Igeta, K., Yamashita, M.: High-fidelity cluster state generation for ultracold atoms in an optical lattice. Phys. Rev. Lett. 112, 110501 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR67","doi-asserted-by":"crossref","first-page":"063843","DOI":"10.1103\/PhysRevA.92.063843","volume":"92","author":"O Houhou","year":"2015","unstructured":"Houhou, O., Aissaoui, H., Ferraro, A.: Generation of cluster states in optomechanical quantum systems. Phys. Rev. A 92, 063843 (2015)","journal-title":"Phys. Rev. A"},{"key":"2893_CR68","doi-asserted-by":"crossref","first-page":"012327","DOI":"10.1103\/PhysRevA.96.012327","volume":"96","author":"Z Yang","year":"2017","unstructured":"Yang, Z., Li, Z., Ma, S., Li, F.: One-step generation of continuous-variable quadripartite cluster states in a circuit QED system. Phys. Rev. A 96, 012327 (2017)","journal-title":"Phys. Rev. A"},{"key":"2893_CR69","doi-asserted-by":"crossref","first-page":"070501","DOI":"10.1103\/PhysRevLett.123.070501","volume":"123","author":"M Gimeno-Segovia","year":"2019","unstructured":"Gimeno-Segovia, M., Rudolph, T., Economou, S.E.: Deterministic generation of large-scale entangled photonic cluster state from interacting solid state emitters. Phys. Rev. Lett. 123, 070501 (2019)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR70","doi-asserted-by":"crossref","first-page":"022330","DOI":"10.1103\/PhysRevA.73.022330","volume":"73","author":"AN Zhang","year":"2006","unstructured":"Zhang, A.N., Lu, C.Y., Zhou, X.Q., Chen, Y.A., Zhao, Z., Yang, T., Pan, J.W.: Experimental construction of optical multiqubit cluster states from Bell states. Phys. Rev. A 73, 022330 (2006)","journal-title":"Phys. Rev. A"},{"key":"2893_CR71","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1038\/nphys507","volume":"3","author":"CY Lu","year":"2007","unstructured":"Lu, C.Y., et al.: Experimental entanglement of six photons in graph states. Nat. Phys. 3, 91 (2007)","journal-title":"Nat. Phys."},{"key":"2893_CR72","doi-asserted-by":"crossref","first-page":"012301","DOI":"10.1103\/PhysRevA.78.012301","volume":"78","author":"M Yukawa","year":"2008","unstructured":"Yukawa, M., et al.: Experimental generation of four-mode continuous-variable cluster states. Phys. Rev. A 78, 012301 (2008)","journal-title":"Phys. Rev. A"},{"key":"2893_CR73","doi-asserted-by":"crossref","first-page":"160401","DOI":"10.1103\/PhysRevLett.103.160401","volume":"103","author":"R Ceccarelli","year":"2009","unstructured":"Ceccarelli, R., Vallone, G., De Martini, F., Mataloni, P., Cabello, A.: Experimental entanglement and nonlocality of a two-photon six-qubit cluster state. Phys. Rev. Lett. 103, 160401 (2009)","journal-title":"Phys. Rev. Lett."},{"key":"2893_CR74","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1038\/nphoton.2010.283","volume":"5","author":"WB Gao","year":"2011","unstructured":"Gao, W.B., Yao, X.C., Cai, J.M., et al.: Experimental measurement-based quantum computing beyond the cluster-state model. Nat. Photonics 5, 117 (2011)","journal-title":"Nat. Photonics"},{"key":"2893_CR75","first-page":"5178","volume":"37","author":"XL Su","year":"2012","unstructured":"Su, X.L., Zhao, Y.P., Hao, S.H., Jia, X.J., Xie, C.D., Peng, K.C.: Experimental preparation of eight-partite cluster state for photonic qumodes. Opt. Express 37, 5178 (2012)","journal-title":"Opt. Express"},{"key":"2893_CR76","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1038\/nature10770","volume":"482","author":"XC Yao","year":"2012","unstructured":"Yao, X.C., et al.: Experimental demonstration of topological error correction. Nature 482, 489 (2012)","journal-title":"Nature"},{"key":"2893_CR77","doi-asserted-by":"crossref","first-page":"3658","DOI":"10.1038\/ncomms4658","volume":"5","author":"BA Bell","year":"2014","unstructured":"Bell, B.A., Herrera-Mart\u00ed, D.A., Tame, M.S., Markham, D., Wadsworth, W.J., Rarity, J.G.: Experimental demonstration of a graph state quantum error-correction code. Nat. Commun. 5, 3658 (2014)","journal-title":"Nat. Commun."},{"key":"2893_CR78","doi-asserted-by":"crossref","first-page":"062329","DOI":"10.1103\/PhysRevA.93.062329","volume":"93","author":"C Zhang","year":"2016","unstructured":"Zhang, C., Huang, Y.F., Liu, B.H., Li, C.F., Guo, G.C.: Experimental generation of a high-fidelity four-photon linear cluster state. Phys. Rev. A 93, 062329 (2016)","journal-title":"Phys. Rev. A"},{"key":"2893_CR79","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1126\/science.aah4758","volume":"354","author":"I Schwartz","year":"2016","unstructured":"Schwartz, I., Cogan, D., Schmidgall, E.R., et al.: Deterministic generation of a cluster state of entangled photons. Science 354, 435 (2016)","journal-title":"Science"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-02893-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-020-02893-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-02893-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,10]],"date-time":"2021-02-10T08:32:28Z","timestamp":1612945948000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-020-02893-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":79,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["2893"],"URL":"https:\/\/doi.org\/10.1007\/s11128-020-02893-1","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"27 September 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 October 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 January 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"3"}}