{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T03:40:03Z","timestamp":1779248403821,"version":"3.51.4"},"reference-count":63,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2018,8,18]],"date-time":"2018-08-18T00:00:00Z","timestamp":1534550400000},"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":["11474168"],"award-info":[{"award-number":["11474168"]}],"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":["11747161"],"award-info":[{"award-number":["11747161"]}],"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":[[2018,10]]},"DOI":"10.1007\/s11128-018-2020-9","type":"journal-article","created":{"date-parts":[[2018,8,17]],"date-time":"2018-08-17T21:41:24Z","timestamp":1534542084000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Purification of the concatenated Greenberger\u2013Horne\u2013Zeilinger state with linear optics"],"prefix":"10.1007","volume":"17","author":[{"given":"Xu-Dong","family":"Wu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lan","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Zhong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu-Bo","family":"Sheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,8,18]]},"reference":[{"key":"2020_CR1","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., Crepeau, 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":"2020_CR2","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 Bell\u2019s theorem. Phys. Rev. Lett. 67, 661 (1991)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR3","doi-asserted-by":"publisher","first-page":"032302","DOI":"10.1103\/PhysRevA.65.032302","volume":"65","author":"GL Long","year":"2002","unstructured":"Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302 (2002)","journal-title":"Phys. Rev. A"},{"key":"2020_CR4","doi-asserted-by":"publisher","first-page":"042317","DOI":"10.1103\/PhysRevA.68.042317","volume":"68","author":"FG Deng","year":"2003","unstructured":"Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein\u2013Podolsky\u2013Rosen pair block. Phys. Rev. A 68, 042317 (2003)","journal-title":"Phys. Rev. A"},{"key":"2020_CR5","doi-asserted-by":"publisher","first-page":"044305","DOI":"10.1103\/PhysRevA.71.044305","volume":"71","author":"C Wang","year":"2005","unstructured":"Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Quantum secure direct communication with high-dimension quantum superdense coding. Phys. Rev. A 71, 044305 (2005)","journal-title":"Phys. Rev. A"},{"key":"2020_CR6","doi-asserted-by":"publisher","first-page":"e16144","DOI":"10.1038\/lsa.2016.144","volume":"5","author":"JY Hu","year":"2016","unstructured":"Hu, J.Y., Yu, B., Jing, M.Y., Xiao, L.T., Jia, S.T., Qin, G.Q., Long, G.L.: Experimental quantum secure direct communication with single photons. Light Sci. Appl. 5, e16144 (2016)","journal-title":"Light Sci. Appl."},{"key":"2020_CR7","doi-asserted-by":"publisher","first-page":"220501","DOI":"10.1103\/PhysRevLett.118.220501","volume":"118","author":"W Zhang","year":"2017","unstructured":"Zhang, W., Ding, D.S., Sheng, Y.B., Zhou, L., Shi, B.S., Guo, G.C.: Quantum secure direct communication with quantum memory. Phys. Rev. Lett. 118, 220501 (2017)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR8","doi-asserted-by":"publisher","first-page":"1519","DOI":"10.1016\/j.scib.2017.10.023","volume":"62","author":"F Zhu","year":"2017","unstructured":"Zhu, F., Zhang, W., Sheng, Y.B., Huang, Y.D.: Experimental long-distance quantum secret direct communication. Sci. Bull. 62, 1519 (2017)","journal-title":"Sci. Bull."},{"key":"2020_CR9","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1007\/s11128-017-1727-3","volume":"16","author":"YT Gou","year":"2017","unstructured":"Gou, Y.T., Shi, H.L., Wang, X.H., Liu, S.Y.: Probabilistic resumable bidirectional quantum teleportation. Quantum Inf. Process. 16, 278 (2017)","journal-title":"Quantum Inf. Process."},{"key":"2020_CR10","doi-asserted-by":"publisher","first-page":"252","DOI":"10.1007\/s11128-017-1703-y","volume":"16","author":"YF He","year":"2017","unstructured":"He, Y.F., Ma, W.P.: Three-party quantum secure direct communication against collective noise. Quantum Inf. Process. 16, 252 (2017)","journal-title":"Quantum Inf. Process."},{"key":"2020_CR11","doi-asserted-by":"publisher","first-page":"120313","DOI":"10.1007\/s11433-017-9100-9","volume":"60","author":"FZ Wu","year":"2017","unstructured":"Wu, F.Z., Yang, G.J., Wang, H.B., Xiong, J., Alzahrani, F., Hobiny, A., Deng, F.G.: High-capacity quantum secure direct communication with two-photon six-qubit hyperentangled states. Sci. China Phys. Mech. Astron. 60, 120313 (2017)","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"2020_CR12","doi-asserted-by":"publisher","first-page":"152","DOI":"10.1007\/s11128-018-1925-7","volume":"17","author":"HW Qin","year":"2018","unstructured":"Qin, H.W., Tang, W.K.S., Tso, R.: Establishing rational networking using the DL04 quantum secure direct communication protocol. Quantum Inf. Process. 17, 152 (2018)","journal-title":"Quantum Inf. Process."},{"key":"2020_CR13","doi-asserted-by":"publisher","first-page":"090312","DOI":"10.1007\/s11433-018-9224-5","volume":"61","author":"SS Chen","year":"2018","unstructured":"Chen, S.S., Zhou, L., Zhong, W., Sheng, Y.B.: Three-step three-party quantum secure direct communication. Sci. China Phys. Mech. Astron. 61, 090312 (2018)","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"2020_CR14","doi-asserted-by":"publisher","first-page":"1025","DOI":"10.1016\/j.scib.2017.06.007","volume":"62","author":"YB Sheng","year":"2017","unstructured":"Sheng, Y.B., Zhou, L.: Distributed secure quantum machine learning. Sci. Bull. 62, 1025 (2017)","journal-title":"Sci. Bull."},{"key":"2020_CR15","doi-asserted-by":"publisher","first-page":"120312","DOI":"10.1007\/s11433-017-9091-0","volume":"60","author":"YX Jiang","year":"2017","unstructured":"Jiang, Y.X., Guo, P.L., Gao, C.Y., Wang, H.B., Alzahrani, F., Hobiny, A., Deng, F.G.: Self-error-rejecting photonic qubit transmission in polarization-spatial modes with linear optical elements. Sci. China Phys. Mech. Astron. 60, 120312 (2017)","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"2020_CR16","doi-asserted-by":"publisher","first-page":"042308","DOI":"10.1103\/PhysRevA.85.042308","volume":"85","author":"XQ Shao","year":"2012","unstructured":"Shao, X.Q., Zheng, T.Y., Zhang, S.: Engineering steady three-atom singlet via quantum-jump-based feedback. Phys. Rev. A 85, 042308 (2012)","journal-title":"Phys. Rev. A"},{"key":"2020_CR17","doi-asserted-by":"publisher","first-page":"012319","DOI":"10.1103\/PhysRevA.89.012319","volume":"89","author":"XQ Shao","year":"2014","unstructured":"Shao, X.Q., Zheng, T.Y., Oh, C.H., Zhang, S.: Dissipative creation of three-dimensional entangled state in optical cavity via spontaneous emission. Phys. Rev. A 89, 012319 (2014)","journal-title":"Phys. Rev. A"},{"key":"2020_CR18","doi-asserted-by":"publisher","first-page":"052313","DOI":"10.1103\/PhysRevA.89.052313","volume":"89","author":"XQ Shao","year":"2014","unstructured":"Shao, X.Q., You, J.B., Zheng, T.Y., Oh, C.H., Zhang, S.: Stationary three-dimensional entanglement via dissipative Rydberg pumping. Phys. Rev. A 89, 052313 (2014)","journal-title":"Phys. Rev. A"},{"key":"2020_CR19","doi-asserted-by":"publisher","first-page":"722","DOI":"10.1103\/PhysRevLett.76.722","volume":"76","author":"CH Bennett","year":"1996","unstructured":"Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Purification of noisy entanglement and faithful teleportation via noisy channels. Phys. Rev. Lett. 76, 722 (1996)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR20","doi-asserted-by":"publisher","first-page":"2818","DOI":"10.1103\/PhysRevLett.77.2818","volume":"77","author":"D Deutsch","year":"1996","unstructured":"Deutsch, D., et al.: Quantum privacy amplification and the security of quantum cryptography over noisy channels. Phys. Rev. Lett. 77, 2818 (1996)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR21","doi-asserted-by":"publisher","first-page":"1067","DOI":"10.1038\/35074041","volume":"410","author":"JW Pan","year":"2001","unstructured":"Pan, J.W., Simon, C., Brukner, \u010c., Zeilinger, A.: Entanglement purification for quantum communication. Nature 410, 1067\u20131070 (2001)","journal-title":"Nature"},{"key":"2020_CR22","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1103\/PhysRevA.59.169","volume":"59","author":"W D\u00fcer","year":"1999","unstructured":"D\u00fcer, W., Briegel, H.J., Cirac, J.I., Zoller, P.: Quantum repeaters based on entanglement purification. Phys. Rev. A 59, 169 (1999)","journal-title":"Phys. Rev. A"},{"key":"2020_CR23","doi-asserted-by":"publisher","first-page":"042308","DOI":"10.1103\/PhysRevA.77.042308","volume":"77","author":"YB Sheng","year":"2008","unstructured":"Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Efficient polarization-entanglement purification based on parametric down-conversion sources with cross-Kerr nonlinearity. Phys. Rev. A 77, 042308 (2008)","journal-title":"Phys. Rev. A"},{"key":"2020_CR24","doi-asserted-by":"publisher","first-page":"032307","DOI":"10.1103\/PhysRevA.81.032307","volume":"81","author":"YB Sheng","year":"2010","unstructured":"Sheng, Y.B., Deng, F.G.: Deterministic entanglement purification and complete nonlocal Bell-state analysis with hyperentanglement. Phys. Rev. A 81, 032307 (2010)","journal-title":"Phys. Rev. A"},{"key":"2020_CR25","doi-asserted-by":"publisher","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":"2020_CR26","doi-asserted-by":"publisher","first-page":"260503","DOI":"10.1103\/PhysRevLett.110.260503","volume":"110","author":"M Zwerger","year":"2013","unstructured":"Zwerger, M., Briegel, H.J., D\u00fcr, W.: Universal and optimal error thresholds for measurement-based entanglement purification. Phys. Rev. Lett. 110, 260503 (2013)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR27","doi-asserted-by":"publisher","first-page":"012314","DOI":"10.1103\/PhysRevA.90.012314","volume":"90","author":"M Zwerger","year":"2014","unstructured":"Zwerger, M., Briegel, H.J., D\u00fcr, W.: Robust of hashing protocols for entanglement purification. Phys. Rev. A 90, 012314 (2014)","journal-title":"Phys. Rev. A"},{"key":"2020_CR28","doi-asserted-by":"publisher","first-page":"032313","DOI":"10.1103\/PhysRevA.72.032313","volume":"72","author":"H Bombin","year":"2005","unstructured":"Bombin, H., Martin-Delgado, M.A.: Entanglement distillation protocols and number theory. Phys. Rev. A 72, 032313 (2005)","journal-title":"Phys. Rev. A"},{"key":"2020_CR29","doi-asserted-by":"publisher","first-page":"257901","DOI":"10.1103\/PhysRevLett.89.257901","volume":"89","author":"C Simon","year":"2002","unstructured":"Simon, C., Pan, J.W.: Polarization entanglement purification using spatial entanglement. Phys. Rev. Lett. 89, 257901 (2002)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR30","doi-asserted-by":"publisher","first-page":"044304","DOI":"10.1103\/PhysRevA.82.044304","volume":"82","author":"XH Li","year":"2010","unstructured":"Li, X.H.: Deterministic polarization-entanglement purification using spatial entanglement. Phys. Rev. A 82, 044304 (2010)","journal-title":"Phys. Rev. A"},{"key":"2020_CR31","doi-asserted-by":"publisher","first-page":"062316","DOI":"10.1103\/PhysRevA.83.062316","volume":"83","author":"FG Deng","year":"2011","unstructured":"Deng, F.G.: One-step error correction for multipartite polarization entanglement. Phys. Rev. A 83, 062316 (2011)","journal-title":"Phys. Rev. A"},{"key":"2020_CR32","doi-asserted-by":"publisher","first-page":"052312","DOI":"10.1103\/PhysRevA.84.052312","volume":"84","author":"FG Deng","year":"2011","unstructured":"Deng, F.G.: Efficient multipartite entanglement purification with the entanglement link from a subspace. Phys. Rev. A 84, 052312 (2011)","journal-title":"Phys. Rev. A"},{"key":"2020_CR33","doi-asserted-by":"publisher","first-page":"022302","DOI":"10.1103\/PhysRevA.88.022302","volume":"88","author":"YB Sheng","year":"2013","unstructured":"Sheng, Y.B., Zhou, L., Long, G.L.: Hybrid entanglement purification for quantum repeaters. Phys. Rev. A 88, 022302 (2013)","journal-title":"Phys. Rev. A"},{"key":"2020_CR34","doi-asserted-by":"publisher","first-page":"085203","DOI":"10.1088\/1612-2011\/11\/8\/085203","volume":"11","author":"YB Sheng","year":"2014","unstructured":"Sheng, Y.B., Zhou, L.: Deterministic polarization entanglement purification using time-bin entanglement. Laser Phys. Lett. 11, 085203 (2014)","journal-title":"Laser Phys. Lett."},{"key":"2020_CR35","doi-asserted-by":"publisher","first-page":"7815","DOI":"10.1038\/srep07815","volume":"5","author":"YB Sheng","year":"2015","unstructured":"Sheng, Y.B., Zhou, L.: Deterministic entanglement distillation for secure double-server blind quantum computation. Sci. Rep. 5, 7815 (2015)","journal-title":"Sci. Rep."},{"key":"2020_CR36","doi-asserted-by":"publisher","first-page":"012322","DOI":"10.1103\/PhysRevA.68.012322","volume":"68","author":"MA Mart\u00edn-Delgado","year":"2003","unstructured":"Mart\u00edn-Delgado, M.A., Navascu\u00e9s, M.: Single-step distillation protocol with generalized beam splitters. Phys. Rev. A 68, 012322 (2003)","journal-title":"Phys. Rev. A"},{"key":"2020_CR37","doi-asserted-by":"publisher","first-page":"052330","DOI":"10.1103\/PhysRevA.96.052330","volume":"96","author":"H Zhang","year":"2017","unstructured":"Zhang, H., Liu, Q., Xu, X.S., Xiong, J., Alsaedi, A., Hayat, T., Deng, F.G.: Polarization entanglement purification of nonlocal microwave photons based on the cross-Kerr effect in circuit QED. Phys. Rev. A 96, 052330 (2017)","journal-title":"Phys. Rev. A"},{"key":"2020_CR38","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1016\/j.aop.2018.02.007","volume":"391","author":"H Zhang","year":"2017","unstructured":"Zhang, H., Alsaedi, A., Hayat, T., Deng, F.G.: Entanglement concentration and purification of two-mode squeezed microwave photons in circuit QED. Ann. Phys. 391, 112\u2013119 (2017)","journal-title":"Ann. Phys."},{"key":"2020_CR39","doi-asserted-by":"publisher","first-page":"032307","DOI":"10.1103\/PhysRevA.84.032307","volume":"84","author":"C Wang","year":"2011","unstructured":"Wang, C., Zhang, Y., Jin, G.S.: Entanglement purification and concentration of electron-spin entangled states using quantum-dot spins in optical microcavities. Phys. Rev. A 84, 032307 (2011)","journal-title":"Phys. Rev. A"},{"key":"2020_CR40","doi-asserted-by":"publisher","first-page":"25685","DOI":"10.1364\/OE.19.025685","volume":"19","author":"C Wang","year":"2011","unstructured":"Wang, C., Zhang, Y., Zhang, R.: Entanglement purification based on hybrid entangled state using quantum-dot and microcavity coupled system. Opt. Exp. 19, 25685\u201325695 (2011)","journal-title":"Opt. Exp."},{"key":"2020_CR41","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1007\/s11128-017-1634-7","volume":"16","author":"WC Gao","year":"2017","unstructured":"Gao, W.C., Cao, C., Wang, T.J., Wang, C.: Efficient purification and concentration for Lambda-type three-level entangled quantum dots using non-reciprocal microresonators. Quantum Inf. Process. 16, 182 (2017)","journal-title":"Quantum Inf. Process."},{"key":"2020_CR42","doi-asserted-by":"publisher","first-page":"1800029","DOI":"10.1002\/andp.201800029","volume":"530","author":"ZC Liu","year":"2018","unstructured":"Liu, Z.C., Hong, J.S., Guo, J.J., Li, T., Ai, Q., Alsaedi, A., Hayat, T., Deng, F.G.: Entanglement purification of nonlocal quantum-dot-confined electrons assisted by double-sided optical microcavities. Ann. Phys. 530, 1800029 (2018)","journal-title":"Ann. Phys."},{"key":"2020_CR43","doi-asserted-by":"publisher","first-page":"042303","DOI":"10.1103\/PhysRevA.84.042303","volume":"84","author":"D Gonta","year":"2011","unstructured":"Gonta, D., van Loock, P.: Dynamical entanglement purification using chains of atoms and optical cavities. Phys. Rev. A 84, 042303 (2011)","journal-title":"Phys. Rev. A"},{"key":"2020_CR44","doi-asserted-by":"publisher","first-page":"052312","DOI":"10.1103\/PhysRevA.86.052312","volume":"86","author":"D Gonta","year":"2012","unstructured":"Gonta, D., van Loock, P.: High-fidelity entanglement purification using chains of atoms and optical cavities. Phys. Rev. A 86, 052312 (2012)","journal-title":"Phys. Rev. A"},{"key":"2020_CR45","doi-asserted-by":"publisher","first-page":"012308","DOI":"10.1103\/PhysRevA.71.012308","volume":"71","author":"M Yang","year":"2005","unstructured":"Yang, M., Song, W., Cao, Z.L.: Entanglement purification for arbitrary unknown ionic states via linear optics. Phys. Rev. A 71, 012308 (2005)","journal-title":"Phys. Rev. A"},{"key":"2020_CR46","doi-asserted-by":"publisher","first-page":"052309","DOI":"10.1103\/PhysRevA.90.052309","volume":"90","author":"BC Ren","year":"2014","unstructured":"Ren, B.C., Du, F.F., Deng, F.G.: Two-step hyperentanglement purification with the quantum-state-joining method. Phys. Rev. A 90, 052309 (2014)","journal-title":"Phys. Rev. A"},{"key":"2020_CR47","doi-asserted-by":"publisher","first-page":"032319","DOI":"10.1103\/PhysRevA.94.032319","volume":"94","author":"GY Wang","year":"2016","unstructured":"Wang, G.Y., Liu, Q., Deng, F.G.: Efficient hyperentanglement purification for two-photon six-qubit quantum systems. Phys. Rev. A 94, 032319 (2016)","journal-title":"Phys. Rev. A"},{"key":"2020_CR48","doi-asserted-by":"publisher","first-page":"2969","DOI":"10.1364\/OE.25.002969","volume":"25","author":"TJ Wang","year":"2017","unstructured":"Wang, T.J., Mi, S.C., Wang, C.: Hyperentanglement purification using imperfect spatial entanglement. Opt. Exp. 25, 2969\u20132982 (2017)","journal-title":"Opt. Exp."},{"key":"2020_CR49","doi-asserted-by":"publisher","first-page":"R2493","DOI":"10.1103\/PhysRevA.52.R2493","volume":"52","author":"PW Shor","year":"1995","unstructured":"Shor, P.W.: Scheme for reducing decoherence in quantum computer memory. Phys. Rev. A 52, R2493 (1995)","journal-title":"Phys. Rev. A"},{"key":"2020_CR50","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1103\/PhysRevLett.77.198","volume":"77","author":"R Laflamme","year":"1996","unstructured":"Laflamme, R., Miquel, C., Paz, J.P., Zurek, W.: Pefect quantum error correction code. Phys. Rev. Lett. 77, 198 (1996)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR51","doi-asserted-by":"publisher","first-page":"052335","DOI":"10.1103\/PhysRevA.72.052335","volume":"72","author":"AM Steane","year":"2005","unstructured":"Steane, A.M., Ibinson, B.: Fault-tolerant logical gate networks for Calderbank\u2013Shor\u2013Steane codes. Phys. Rev. A. 72, 052335 (2005)","journal-title":"Phys. Rev. A."},{"key":"2020_CR52","doi-asserted-by":"publisher","first-page":"052336","DOI":"10.1103\/PhysRevA.86.052336","volume":"86","author":"YS Weinstein","year":"2012","unstructured":"Weinstein, Y.S., Buchbinder, S.D.: Use of Shor states for the [7, 1, 3] quantum error-correcting code. Phys. Rev. A 86, 052336 (2012)","journal-title":"Phys. Rev. A"},{"key":"2020_CR53","doi-asserted-by":"publisher","first-page":"013026","DOI":"10.1088\/1367-2630\/aa573a","volume":"19","author":"S Muralidharan","year":"2017","unstructured":"Muralidharan, S., Zou, C.L., Li, L., Wen, J., Jiang, L.: Overcoming erasure errors with multilevel systems. New J. Phys. 19, 013026 (2017)","journal-title":"New J. Phys."},{"key":"2020_CR54","doi-asserted-by":"publisher","first-page":"032325","DOI":"10.1103\/PhysRevA.79.032325","volume":"79","author":"L Jiang","year":"2009","unstructured":"Jiang, L., Taylor, J.M., Nemoto, K., Munro, W.J., Van Meter, R., Lukin, M.D.: Quantum repeater with encoding. Phys. Rev. A 79, 032325 (2009)","journal-title":"Phys. Rev. A"},{"key":"2020_CR55","doi-asserted-by":"publisher","first-page":"210501","DOI":"10.1103\/PhysRevLett.117.210501","volume":"117","author":"F Ewert","year":"2016","unstructured":"Ewert, F., Bergmann, M., van Loock, P.: Ultrafast long-distance quantum communication with static linear optics. Phys. Rev. Lett. 117, 210501 (2016)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR56","doi-asserted-by":"publisher","first-page":"012327","DOI":"10.1103\/PhysRevA.95.012327","volume":"95","author":"F Ewert","year":"2017","unstructured":"Ewert, F., van Loock, P.: Ultrafast fault-tolerant long-distance quantum communication with static linear optics. Phys. Rev. A 95, 012327 (2017)","journal-title":"Phys. Rev. A"},{"key":"2020_CR57","doi-asserted-by":"publisher","first-page":"250501","DOI":"10.1103\/PhysRevLett.112.250501","volume":"112","author":"S Muralidharan","year":"2014","unstructured":"Muralidharan, S., Kim, J., L\u00fctkenhaus, N., Lukin, M.D., Jiang, L.: Ultrafast and fault-tolerant quantum communication across long distances. Phys. Rev. Lett. 112, 250501 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR58","doi-asserted-by":"publisher","first-page":"030502","DOI":"10.1103\/PhysRevLett.119.030502","volume":"119","author":"L Li","year":"2017","unstructured":"Li, L., Zou, C.L., Albert, V.V., Muralidharan, S., Girvin, S.M., Jiang, L.: Cat codes with optimal decoherence suppression for a lossy bosonic channel. Phys. Rev. Lett. 119, 030502 (2017)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR59","doi-asserted-by":"publisher","first-page":"110402","DOI":"10.1103\/PhysRevLett.106.110402","volume":"106","author":"F Fr\u00f6wis","year":"2011","unstructured":"Fr\u00f6wis, F., D\u00fcer, W.: Stable macroscopic quantum superpositions. Phys. Rev. Lett. 106, 110402 (2011)","journal-title":"Phys. Rev. Lett."},{"key":"2020_CR60","doi-asserted-by":"publisher","first-page":"3075","DOI":"10.1364\/JOSAB.30.003075","volume":"30","author":"D Ding","year":"2013","unstructured":"Ding, D., Yan, F.L., Gao, T.: Preparation of km-photon concatenated Greenberger\u2013Horne\u2013Zeilinger states for observing distinctive quantum effects at macroscopic scales. J. Opt. Soc. Am. B 30, 3075\u20133078 (2013)","journal-title":"J. Opt. Soc. Am. B"},{"key":"2020_CR61","first-page":"364","volume":"8","author":"H Lu","year":"2014","unstructured":"Lu, H., Chen, L.K., Liu, C., Xu, P., Yao, X.C., Li, L., Liu, N.L., Zhao, B., Chen, Y.A., Pan, J.W.: Experimental realization of a concatenated Greenberger\u2013Horne\u2013Zeilinger state for macroscopic quantum superpositions. Nature 8, 364\u2013368 (2014)","journal-title":"Nature"},{"key":"2020_CR62","doi-asserted-by":"publisher","first-page":"28813","DOI":"10.1038\/srep28813","volume":"6","author":"L Zhou","year":"2016","unstructured":"Zhou, L., Sheng, Y.B.: Purification of logic-qubit entanglement. Sci. Rep. 6, 28813 (2016)","journal-title":"Sci. Rep."},{"key":"2020_CR63","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1016\/j.aop.2017.07.012","volume":"385","author":"L Zhou","year":"2017","unstructured":"Zhou, L., Sheng, Y.B.: Polarization entanglement purification for concatenated Greenberger\u2013Horne\u2013Zeilinger state. Ann. Phys. 385, 10\u201335 (2017)","journal-title":"Ann. Phys."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-018-2020-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-018-2020-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-018-2020-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T15:25:19Z","timestamp":1569338719000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-018-2020-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,18]]},"references-count":63,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2018,10]]}},"alternative-id":["2020"],"URL":"https:\/\/doi.org\/10.1007\/s11128-018-2020-9","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,18]]},"assertion":[{"value":"26 June 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 August 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 August 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"255"}}