{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:20Z","timestamp":1740137240355,"version":"3.37.3"},"reference-count":82,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2022,5,12]],"date-time":"2022-05-12T00:00:00Z","timestamp":1652313600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,5,12]],"date-time":"2022-05-12T00:00:00Z","timestamp":1652313600000},"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":["11974189","12175106"],"award-info":[{"award-number":["11974189","12175106"]}],"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\/s11128-022-03521-w","type":"journal-article","created":{"date-parts":[[2022,5,12]],"date-time":"2022-05-12T05:02:47Z","timestamp":1652331767000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Efficient generation protocol for the three-level logical entangled states"],"prefix":"10.1007","volume":"21","author":[{"given":"Chuang","family":"Li","sequence":"first","affiliation":[]},{"given":"Lan","family":"Zhou","sequence":"additional","affiliation":[]},{"given":"Wei","family":"Zhong","sequence":"additional","affiliation":[]},{"given":"Yu-Bo","family":"Sheng","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,5,12]]},"reference":[{"key":"3521_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., Cr\u00e9peau, 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":"3521_CR2","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, 575\u2013579 (1997)","journal-title":"Nature"},{"key":"3521_CR3","doi-asserted-by":"publisher","first-page":"e3","DOI":"10.1002\/que2.13","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, e3 (2019)","journal-title":"Quantum Eng."},{"key":"3521_CR4","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/j.fmre.2020.11.005","volume":"1","author":"ZH Yan","year":"2021","unstructured":"Yan, Z.H., Qin, J.L., Qin, Z.Z., Su, X.L., Jia, X.J., Xie, C.D., Peng, K.C.: Generation of non-classical states of light and their application in deterministic quantum teleportation. Fundam. Res. 1, 43\u201349 (2021)","journal-title":"Fundam. Res."},{"key":"3521_CR5","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1007\/s11128-021-03155-4","volume":"20","author":"T Yamagami","year":"2021","unstructured":"Yamagami, T., Segawa, E., Konno, N.: General condition of quantum teleportation by one-dimensional quantum walks. Quantum Inf. Process. 20, 224 (2021)","journal-title":"Quantum Inf. Process."},{"key":"3521_CR6","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1007\/s11128-020-02696-4","volume":"19","author":"Q Quan","year":"2020","unstructured":"Quan, Q., Zhao, M.J., Fei, S.M., Fan, H., Yang, W.L., Wang, T.J., Long, G.L.: Two-copy quantum teleportation based on GHZ measurement. Quantum Inf. Process. 19, 205 (2020)","journal-title":"Quantum Inf. Process."},{"key":"3521_CR7","unstructured":"Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing, pp. 175. IEEE, New York (1984)"},{"key":"3521_CR8","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 crytography based on Bell\u2019s theorem. Phys. Rev. Lett. 67, 661 (1991)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR9","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s11128-018-1877-y","volume":"17","author":"WZ Lu","year":"2018","unstructured":"Lu, W.Z., Huang, C.H., Hou, K., Shi, L.T., Zhao, H.H., Li, Z.M., Qiu, J.F.: Recurrent neural network approach to quantum signal: coherent state restoration for continuous-variable quantum key distribution. Quantum Inf. Process. 17, 109 (2018)","journal-title":"Quantum Inf. Process."},{"key":"3521_CR10","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1016\/j.fmre.2020.11.001","volume":"1","author":"ZQ Yin","year":"2021","unstructured":"Yin, Z.Q., Lu, F.Y., Teng, J., Wang, S., Chen, W., Guo, G.C., Han, Z.F.: Twin-field protocols: towards intercity quantum key distribution without quantum repeaters. Fundam. Res. 1, 93\u201395 (2021)","journal-title":"Fundam. Res."},{"key":"3521_CR11","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1016\/j.fmre.2020.12.002","volume":"1","author":"H Guo","year":"2021","unstructured":"Guo, H., Li, Z.Y., Yu, S., Zhang, Y.C.: Toward practical quantum key distribution using telecom components. Fundam. Res. 1, 96\u201398 (2021)","journal-title":"Fundam. Res."},{"key":"3521_CR12","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1007\/s11128-020-02927-8","volume":"20","author":"H Hajji","year":"2021","unstructured":"Hajji, H., El-Baz, M.: Qutrit-based semi-quantum key distribution protocol. Quantum Inf. Process. 20, 4 (2021)","journal-title":"Quantum Inf. Process."},{"key":"3521_CR13","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1007\/s11128-021-03080-6","volume":"20","author":"CY Zhang","year":"2021","unstructured":"Zhang, C.Y., Zheng, Z.J.: Entanglement-based quantum key distribution with untrusted third party. Quantum Inf. Process. 20, 146 (2021)","journal-title":"Quantum Inf. Process."},{"key":"3521_CR14","doi-asserted-by":"publisher","first-page":"032302","DOI":"10.1103\/PhysRevA.65.032302","volume":"65","author":"GL Long","year":"2000","unstructured":"Long, G.L., Liu, X.S.: Theoretical efficient high capacity quantum key distribution scheme. Phys. Rev. A 65, 032302 (2000)","journal-title":"Phys. Rev. A"},{"key":"3521_CR15","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":"3521_CR16","doi-asserted-by":"publisher","first-page":"052319","DOI":"10.1103\/PhysRevA.69.052319","volume":"69","author":"FG Deng","year":"2004","unstructured":"Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69, 052319 (2004)","journal-title":"Phys. Rev. A"},{"key":"3521_CR17","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":"3521_CR18","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., et al.: Experimental long-distance quantum secure direct communication. Sci. Bull. 62, 1519\u20131524 (2017)","journal-title":"Sci. Bull."},{"key":"3521_CR19","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., et al.: Three-step three-party quantum secure direct communication. Sci. China Phys. Mech. Astron. 61, 090312 (2018)","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"3521_CR20","doi-asserted-by":"publisher","first-page":"50006","DOI":"10.1209\/0295-5075\/127\/50006","volume":"127","author":"R He","year":"2019","unstructured":"He, R., Ma, J.G., Wu, J.W.: A quantum secure direct communication protocol using entangled beam pairs. EPL 127, 50006 (2019)","journal-title":"EPL"},{"key":"3521_CR21","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1007\/s11128-018-2119-z","volume":"18","author":"YF He","year":"2019","unstructured":"He, Y.F., Ma, W.P.: Multiparty quantum secure direct communication immune to collective noise. Quantum Inf. Process. 18, 4 (2019)","journal-title":"Quantum Inf. Process."},{"key":"3521_CR22","doi-asserted-by":"publisher","first-page":"e26","DOI":"10.1002\/que2.26","volume":"1","author":"JW Wu","year":"2019","unstructured":"Wu, J.W., Lin, Z.S., Yin, L.G., Long, G.L.: Security of quantum secure direct communication based on Wyner\u2019s wiretap channel theory. Quantum Eng. 1, e26 (2019)","journal-title":"Quantum Eng."},{"key":"3521_CR23","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.scib.2019.10.025","volume":"65","author":"L Zhou","year":"2020","unstructured":"Zhou, L., Sheng, Y.B., Long, G.L.: Device-independent quantum secure direct communication against collective attacks. Sci. Bull. 65, 12\u201320 (2020)","journal-title":"Sci. Bull."},{"key":"3521_CR24","doi-asserted-by":"publisher","first-page":"230362","DOI":"10.1007\/s11433-019-1450-8","volume":"63","author":"ZR Zhou","year":"2020","unstructured":"Zhou, Z.R., Sheng, Y.B., Niu, P.H., Yin, L.G., Long, G.L.: Measurement-device-independent quantum secure direct communication. Sci. China Phys. Mech. Astron. 63, 230362 (2020)","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"3521_CR25","doi-asserted-by":"publisher","first-page":"404","DOI":"10.1007\/s11128-020-02908-x","volume":"19","author":"L Liu","year":"2020","unstructured":"Liu, L., Niu, J.L., Fan, C.R., Feng, X.T., Wang, C.: High-dimensional measurement-device-independent quantum secure direct communication. Quantum Inf. Process. 19, 404 (2020)","journal-title":"Quantum Inf. Process."},{"key":"3521_CR26","doi-asserted-by":"publisher","first-page":"5778","DOI":"10.1109\/TCOMM.2020.3006201","volume":"68","author":"Z Sun","year":"2020","unstructured":"Sun, Z., Song, L., Huang, Q., et al.: Toward practical quantum secure direct communication: a quantum-memory-free protocol and code design. IEEE Trans. Commun. 68, 5778\u20135792 (2020)","journal-title":"IEEE Trans. Commun."},{"key":"3521_CR27","doi-asserted-by":"publisher","first-page":"1522","DOI":"10.1364\/PRJ.388790","volume":"8","author":"D Pan","year":"2020","unstructured":"Pan, D., Lin, Z.S., Wu, J.W., et al.: Experimental free-space quantum secure direct communication and its security analysis. Photonics Res. 8, 1522\u20131531 (2020)","journal-title":"Photonics Res."},{"key":"3521_CR28","doi-asserted-by":"publisher","first-page":"110311","DOI":"10.1007\/s11433-020-1576-y","volume":"63","author":"L Yang","year":"2020","unstructured":"Yang, L., Wu, J.W., Lin, Z.S., et al.: Quantum secure direct communication with entanglement source and single-photon measurement. Sci. China Phys. Mech. Astron. 63, 110311 (2020)","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"3521_CR29","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/j.fmre.2021.01.002","volume":"1","author":"C Wang","year":"2021","unstructured":"Wang, C.: Quantum secure direct communication: intersection of communication and cryptography. Fundam. Res. 1, 91 (2021)","journal-title":"Fundam. Res."},{"key":"3521_CR30","doi-asserted-by":"publisher","first-page":"1267","DOI":"10.1016\/j.scib.2021.04.016","volume":"66","author":"GL Long","year":"2021","unstructured":"Long, G.L., Zhang, H.R.: Drastic increase of channel capacity in quantum secure direct communication using masking. Sci. Bull. 66, 1267 (2021)","journal-title":"Sci. Bull."},{"key":"3521_CR31","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1038\/s41377-021-00634-2","volume":"10","author":"ZT Qi","year":"2021","unstructured":"Qi, Z.T., Li, Y.H., Huang, Y.W., et al.: A 15-user quantum secure direct communication network. Light Sci. Appl. 10, 183 (2021)","journal-title":"Light Sci. Appl."},{"key":"3521_CR32","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1016\/j.scib.2021.11.002","volume":"67","author":"YB Sheng","year":"2022","unstructured":"Sheng, Y.B., Zhou, L., Long, G.L.: One-step quantum secure direct communication. Sci. Bull. 67, 367 (2022)","journal-title":"Sci. Bull."},{"key":"3521_CR33","doi-asserted-by":"publisher","first-page":"250311","DOI":"10.1007\/s11433-021-1863-9","volume":"65","author":"L Zhou","year":"2022","unstructured":"Zhou, L., Sheng, Y.B.: One-step device-independent quantum secure direct communication. Sci. China Phys. Mech. Astron. 65, 250311 (2022)","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"3521_CR34","doi-asserted-by":"publisher","first-page":"214","DOI":"10.1038\/s41586-020-03093-8","volume":"589","author":"YA Chen","year":"2021","unstructured":"Chen, Y.A., Zhang, Q., Chen, T.Y., et al.: An integrated space-to-ground quantum communication network over 4600 kilometres. Nature 589, 214\u2013219 (2021)","journal-title":"Nature"},{"key":"3521_CR35","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/s43673-021-00017-0","volume":"31","author":"LC Kwek","year":"2021","unstructured":"Kwek, L.C., Cao, L., Luo, W., et al.: Chip-based quantum key distribution. AAPPS Bull. 31, 15 (2021)","journal-title":"AAPPS Bull."},{"key":"3521_CR36","doi-asserted-by":"publisher","first-page":"190503","DOI":"10.1103\/PhysRevLett.98.190503","volume":"98","author":"C Simon","year":"2007","unstructured":"Simon, C., De Riedmatten, H., Afzelius, M., et al.: Quantum repeaters with photon pair sources and multimode memories. Phys. Rev. Lett. 98, 190503 (2007)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR37","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":"3521_CR38","doi-asserted-by":"publisher","first-page":"1098","DOI":"10.1103\/PhysRevA.54.1098","volume":"54","author":"AR Calderbank","year":"1996","unstructured":"Calderbank, A.R., Shor, P.W.: Good quantum error-correcting codes exist. Phys. Rev. A 54, 1098 (1996)","journal-title":"Phys. Rev. A"},{"key":"3521_CR39","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1103\/PhysRevLett.77.793","volume":"77","author":"AM Steane","year":"1996","unstructured":"Steane, A.M.: Error correcting codes in quantum theory. Phys. Rev. Lett. 77, 793 (1996)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR40","doi-asserted-by":"publisher","first-page":"2525","DOI":"10.1103\/PhysRevLett.84.2525","volume":"84","author":"E Knill","year":"2000","unstructured":"Knill, E., Laflamme, R., Viola, L.: Theory of quantum error correction for general noise. Phys. Rev. Lett. 84, 2525\u20132528 (2000)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR41","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1103\/RevModPhys.87.307","volume":"87","author":"BM Terhal","year":"2015","unstructured":"Terhal, B.M.: Quantum error correction for quantum memories. Rev. Mod. Phys. 87, 307\u2013346 (2015)","journal-title":"Rev. Mod. Phys."},{"key":"3521_CR42","doi-asserted-by":"publisher","first-page":"180503","DOI":"10.1103\/PhysRevLett.104.180503","volume":"104","author":"AG Fowler","year":"2010","unstructured":"Fowler, A.G., Wang, D.S., Hill, C.D., et al.: Surface code quantum communication. Phys. Rev. Lett. 104, 180503 (2010)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR43","doi-asserted-by":"publisher","first-page":"777","DOI":"10.1038\/nphoton.2012.243","volume":"6","author":"WJ Munro","year":"2012","unstructured":"Munro, W.J., Stephens, A.M., Devitt, S.J., et al.: Quantum communication without the necessity of quantum memories. Nat. Photonics 6, 777\u2013781 (2012)","journal-title":"Nat. Photonics"},{"key":"3521_CR44","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., et al.: Ultrafast and fault-tolerant quantum communication across long distances. Phys. Rev. Lett. 112, 250501 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR45","first-page":"1","volume":"6","author":"K Azuma","year":"2015","unstructured":"Azuma, K., Tamaki, K., Lo, H.K.: All-photonic quantum repeaters. Nat. Commun. 6, 1\u20137 (2015)","journal-title":"Nat. Commun."},{"key":"3521_CR46","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":"3521_CR47","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":"3521_CR48","doi-asserted-by":"publisher","first-page":"052303","DOI":"10.1103\/PhysRevA.100.052303","volume":"100","author":"SW Lee","year":"2019","unstructured":"Lee, S.W., Ralph, T.C., Jeong, H.: Fundamental building block for all-optical scalable quantum networks. Phys. Rev. A 100, 052303 (2019)","journal-title":"Phys. Rev. A"},{"key":"3521_CR49","doi-asserted-by":"publisher","first-page":"012304","DOI":"10.1103\/PhysRevA.95.012304","volume":"95","author":"M Pant","year":"2017","unstructured":"Pant, M., Krovim, H., Englund, D., et al.: Rate-distance tradeoff and resource costs for all-optical quantum repeaters. Phys. Rev. A 95, 012304 (2017)","journal-title":"Phys. Rev. A"},{"key":"3521_CR50","doi-asserted-by":"publisher","first-page":"644","DOI":"10.1038\/s41566-019-0468-5","volume":"13","author":"ZD Li","year":"2019","unstructured":"Li, Z.D., Zhang, R., Yin, X.F., et al.: Experimental quantum repeater without quantum memory. Nat. Photonics 13, 644\u2013648 (2019)","journal-title":"Nat. Photonics"},{"key":"3521_CR51","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1038\/s41467-018-08099-5","volume":"10","author":"Y Hasegawa","year":"2019","unstructured":"Hasegawa, Y., Ikuta, R., Matsuda, N., et al.: Experimental time-reversed adaptive Bell measurement towards all-photonic quantum repeaters. Nat. Commun. 10, 378 (2019)","journal-title":"Nat. Commun."},{"key":"3521_CR52","doi-asserted-by":"publisher","first-page":"397","DOI":"10.22331\/q-2021-02-15-397","volume":"5","author":"P Hilaire","year":"2021","unstructured":"Hilaire, P., Barnes, E., Economou, S.E.: Resource requirements for efficient quantum communication using all-photonic graph states generated from a few matter qubits. Quantum 5, 397 (2021)","journal-title":"Quantum"},{"key":"3521_CR53","first-page":"021071","volume":"10","author":"B Johannes","year":"2021","unstructured":"Johannes, B., Hannes, P., Tim, Schr\u00f6der, et al.: One-way quantum repeater based on near-deterministic photon-emitter interfaces. Phys. Rev. X 10, 021071 (2021)","journal-title":"Phys. Rev. X"},{"key":"3521_CR54","doi-asserted-by":"publisher","first-page":"022309","DOI":"10.1103\/PhysRevA.71.022309","volume":"71","author":"B Zeng","year":"2005","unstructured":"Zeng, B., Zhou, D.L., Xu, Z.P., Sun, C.P., You, L.: Encoding a logical qubit into physical qubits. Phys. Rev. A 71, 022309 (2005)","journal-title":"Phys. Rev. A"},{"key":"3521_CR55","doi-asserted-by":"publisher","first-page":"012337","DOI":"10.1103\/PhysRevA.78.012337","volume":"78","author":"B Shaw","year":"2008","unstructured":"Shaw, B., Wilde, M.M., Oreshkov, O., Kremsky, I., Lidar, D.A.: Encoding one logical qubit into six physical qubits. Phys. Rev. A 78, 012337 (2008)","journal-title":"Phys. Rev. A"},{"key":"3521_CR56","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\u00fcr, W.: Stable macroscopic quantum superpositions. Phys. Rev. Lett. 106, 110402 (2011)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR57","doi-asserted-by":"publisher","first-page":"042305","DOI":"10.1103\/PhysRevA.88.042305","volume":"88","author":"F Kesting","year":"2013","unstructured":"Kesting, F., Fr\u00f6wis, F., D\u00fcr, W.: Effective noise channels for encoded quantum systems. Phys. Rev. A 88, 042305 (2013)","journal-title":"Phys. Rev. A"},{"key":"3521_CR58","doi-asserted-by":"publisher","first-page":"052329","DOI":"10.1103\/PhysRevA.85.052329","volume":"85","author":"F Fr\u00f6wis","year":"2012","unstructured":"Fr\u00f6wis, F., D\u00fcr, W.: Stability of encoded macroscopic quantum superpositions. Phys. Rev. A 85, 052329 (2012)","journal-title":"Phys. Rev. A"},{"key":"3521_CR59","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.J.: Preparation of km-photon concatenated Greenberger\u2013Horne\u2013Zeilinger states for observing distinctive quantum effects at macroscopic scales. J. Opt. Soc. Am. B 30, 3075 (2013)","journal-title":"J. Opt. Soc. Am. B"},{"key":"3521_CR60","doi-asserted-by":"publisher","first-page":"364","DOI":"10.1038\/nphoton.2014.81","volume":"8","author":"H Lu","year":"2014","unstructured":"Lu, H., Chen, L.K., Liu, C., et al.: Experimental realization of a concatenated Greenberger\u2013Horne\u2013Zeilinger state for macroscopic quantum superpositions. Nat. Photonics 8, 364\u2013368 (2014)","journal-title":"Nat. Photonics"},{"key":"3521_CR61","doi-asserted-by":"publisher","first-page":"025203","DOI":"10.1088\/1612-202X\/aa512f","volume":"14","author":"SS Chen","year":"2017","unstructured":"Chen, S.S., Zhou, L., Sheng, Y.B.: Generation of an arbitrary concatenated Greenberger\u2013Horne\u2013Zeilinger state with single photons. Laser Phys. Lett. 14, 025203 (2017)","journal-title":"Laser Phys. Lett."},{"key":"3521_CR62","doi-asserted-by":"publisher","first-page":"115203","DOI":"10.1088\/1612-202X\/abb601","volume":"17","author":"H Zheng","year":"2020","unstructured":"Zheng, H., Zhou, L., Zhong, W., et al.: Generation of an arbitrary logic W state with cross-Kerr nonlinearities. Laser Phys. Lett. 17, 115203 (2020)","journal-title":"Laser Phys. Lett."},{"key":"3521_CR63","doi-asserted-by":"publisher","first-page":"113603","DOI":"10.1103\/PhysRevLett.114.113603","volume":"114","author":"SW Lee","year":"2015","unstructured":"Lee, S.W., Park, K., Ralph, T.C., Jeong, H.: Nearly deterministic Bell measurement for multiphoton qubits and its application to quantum information processing. Phys. Rev. Lett. 114, 113603 (2015)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR64","doi-asserted-by":"publisher","first-page":"250502","DOI":"10.1103\/PhysRevLett.93.250502","volume":"93","author":"K Nemoto","year":"2004","unstructured":"Nemoto, K., Munro, W.J.: Nearly deterministic linear optical controlled-not gate. Phys. Rev. Lett. 93, 250502 (2004)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR65","doi-asserted-by":"publisher","first-page":"033819","DOI":"10.1103\/PhysRevA.71.033819","volume":"71","author":"WJ Munro","year":"2005","unstructured":"Munro, W.J., Nemoto, K., Beausoleil, R.G., Spiller, T.P.: High-efficiency quantum-nondemolition single-photon-number-resolving detector. Phys. Rev. A 71, 033819 (2005)","journal-title":"Phys. Rev. A"},{"key":"3521_CR66","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1002\/lpor.201000005","volume":"5","author":"VP Loock","year":"2011","unstructured":"Loock, V.P.: Optical hybrid approaches to quantum information. Laser Photonics Rev. 5, 167\u2013200 (2011)","journal-title":"Laser Photonics Rev."},{"key":"3521_CR67","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1038\/nphoton.2013.377","volume":"8","author":"M M\u00fcller","year":"2014","unstructured":"M\u00fcller, M., Bounouar, S., J\u00f6ns, K.D., Gl\u00e4ssl, M., Michler, P.: On-demand generation of indistinguishable polarization-entangled photon pairs. Nat. Photonics 8, 224 (2014)","journal-title":"Nat. Photonics"},{"key":"3521_CR68","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1038\/nphoton.2009.287x","volume":"4","author":"J Claudon","year":"2010","unstructured":"Claudon, J., Bleuse, J., Malik, N.S., Bazin, M., Jaffrennou, P., Gregersen, N., Sauvan, C., Lalanne, P., Gerard, J.M.: A highly efficient single-photon source based on a quantum dot in a photonic nanowire. Nat. Photonics 4, 174 (2010)","journal-title":"Nat. Photonics"},{"key":"3521_CR69","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1364\/OPTICA.3.000433","volume":"3","author":"JC Loredo","year":"2016","unstructured":"Loredo, J.C., Zakaria, N.A., Somaschi, N., et al.: Scalable performance in solid-state single-photon sources. Optica 3, 433\u2013440 (2016)","journal-title":"Optica"},{"key":"3521_CR70","doi-asserted-by":"publisher","first-page":"213601","DOI":"10.1103\/PhysRevLett.116.213601","volume":"116","author":"H Wang","year":"2016","unstructured":"Wang, H., Duan, Z.C., Li, Y.H., et al.: Near-transform-limited single photons from an efficient solid-state quantum emitter. Phys. Rev. Lett. 116, 213601 (2016)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR71","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1364\/OPTICA.3.000577","volume":"3","author":"JH Kim","year":"2016","unstructured":"Kim, J.H., Cai, T., Richardson, C.J.K., et al.: Two-photon interference from a bright single-photon source at telecom wavelengths. Optica 3, 577\u2013584 (2016)","journal-title":"Optica"},{"key":"3521_CR72","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1038\/nphoton.2016.23","volume":"10","author":"N Somaschi","year":"2016","unstructured":"Somaschi, N., Giesz, V., De Santis, L., et al.: Near-optimal single-photon sources in the solid state. Nat. Photonics 10, 340\u2013345 (2016)","journal-title":"Nat. Photonics"},{"key":"3521_CR73","doi-asserted-by":"publisher","first-page":"020401","DOI":"10.1103\/PhysRevLett.116.020401","volume":"116","author":"X Ding","year":"2016","unstructured":"Ding, X., He, Y., Duan, Z.C., et al.: On-demand single photons with high extraction efficiency and near-unity indistinguishability from a resonantly driven quantum dot in a micropillar. Phys. Rev. Lett. 116, 020401 (2016)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR74","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, 130503 (2012)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR75","doi-asserted-by":"publisher","first-page":"190503","DOI":"10.1103\/PhysRevLett.112.190503","volume":"112","author":"Z Tang","year":"2014","unstructured":"Tang, Z., Liao, Z., Xu, F.H., Qi, B., Qian, L., Lo, H.K.: Experimental demonstration of polarization encoding measurement-device-independent quantum key distribution. Phys. Rev. Lett. 112, 190503 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR76","doi-asserted-by":"publisher","first-page":"190501","DOI":"10.1103\/PhysRevLett.113.190501","volume":"113","author":"YC Tang","year":"2014","unstructured":"Tang, Y.C., Yin, H.L., Chen, S.J., et al.: Measurement-device-independent quantum key distribution over 200 km. Phys. Rev. Lett. 113, 190501 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR77","doi-asserted-by":"publisher","first-page":"23364","DOI":"10.1364\/OE.19.023364","volume":"19","author":"C Zhu","year":"2011","unstructured":"Zhu, C., Huang, G.: Giant Kerr nonlinearity, controlled entangled photons and polarization phase gates in coupled quantum-well structures. Opt. Express 19, 23364 (2011)","journal-title":"Opt. Express"},{"key":"3521_CR78","doi-asserted-by":"publisher","first-page":"053601","DOI":"10.1103\/PhysRevLett.111.053601","volume":"111","author":"IC Hoi","year":"2013","unstructured":"Hoi, I.C., Kockum, A.F., Palomaki, T., et al.: Giant cross-Kerr effect for propagating microwaves induced by an artificial atom. Phys. Rev. Lett. 111, 053601 (2013)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR79","doi-asserted-by":"publisher","first-page":"133606","DOI":"10.1103\/PhysRevLett.112.133606","volume":"112","author":"B He","year":"2014","unstructured":"He, B., Sharypov, A.V., Sheng, J., Simon, C., Xiao, M.: Two-photon dynamics in coherent Rydberg atomic ensemble. Phys. Rev. Lett. 112, 133606 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"3521_CR80","doi-asserted-by":"publisher","first-page":"9740","DOI":"10.1073\/pnas.1524117113","volume":"113","author":"KM Beck","year":"2016","unstructured":"Beck, K.M., Hosseini, M., Duan, Y.H., Vuletic, V.: Large conditional single-photon cross-phase modulation. PNAS 113, 9740 (2016)","journal-title":"PNAS"},{"key":"3521_CR81","doi-asserted-by":"publisher","first-page":"e1600036","DOI":"10.1126\/sciadv.1600036","volume":"2","author":"D Tiarks","year":"2016","unstructured":"Tiarks, D., Schmidt, S., Rempe, G., D\u00fcrr, S.: Optical $$\\pi $$ phase shift created with a single-photon pulse. Sci. Adv. 2, e1600036 (2016)","journal-title":"Sci. Adv."},{"key":"3521_CR82","doi-asserted-by":"publisher","first-page":"033193","DOI":"10.1103\/PhysRevResearch.1.033193","volume":"1","author":"J Sinclair","year":"2019","unstructured":"Sinclair, J., Angulo, D., Lupu-Gladstein, N., Bonsma-Fisher, K., Steinberg, A.M.: Observation of a large, resonant, cross-Kerr nonlinearity in a cold Rydberg gas. Phys. Rev. Res. 1, 033193 (2019)","journal-title":"Phys. Rev. Res."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03521-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-022-03521-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03521-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,13]],"date-time":"2022-11-13T13:08:40Z","timestamp":1668344920000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-022-03521-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,12]]},"references-count":82,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2022,5]]}},"alternative-id":["3521"],"URL":"https:\/\/doi.org\/10.1007\/s11128-022-03521-w","relation":{},"ISSN":["1573-1332"],"issn-type":[{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2022,5,12]]},"assertion":[{"value":"10 January 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 April 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 May 2022","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 they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"178"}}