{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,21]],"date-time":"2025-08-21T18:49:28Z","timestamp":1755802168084,"version":"3.44.0"},"reference-count":55,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T00:00:00Z","timestamp":1753660800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T00:00:00Z","timestamp":1753660800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-025-04857-9","type":"journal-article","created":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T05:29:46Z","timestamp":1753680586000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Long-distance controlled quantum teleportation in a quantum wireless multihop network"],"prefix":"10.1007","volume":"24","author":[{"given":"Vikram","family":"Verma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,7,28]]},"reference":[{"key":"4857_CR1","doi-asserted-by":"publisher","first-page":"1895","DOI":"10.1103\/PhysRevLett.70.1895","volume":"70","author":"CH Bennet","year":"1993","unstructured":"Bennet, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895\u20131899 (1993). https:\/\/doi.org\/10.1103\/PhysRevLett.70.1895","journal-title":"Phys. Rev. Lett."},{"key":"4857_CR2","doi-asserted-by":"publisher","first-page":"032303","DOI":"10.1103\/PhysRevA.71.032303","volume":"71","author":"G Rigolin","year":"2005","unstructured":"Rigolin, G.: Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement. Phys. Rev. A 71, 032303 (2005). https:\/\/doi.org\/10.1103\/PhysRevA.71.032303","journal-title":"Phys. Rev. A"},{"key":"4857_CR3","doi-asserted-by":"publisher","first-page":"022307","DOI":"10.1103\/PhysRevA.62.022307","volume":"62","author":"M Ikram","year":"2000","unstructured":"Ikram, M., Zhu, S.Y., Zubairy, M.S.: Quantum teleportation of an entangled state. Phys. Rev. A 62, 022307 (2000). https:\/\/doi.org\/10.1103\/PhysRevA.62.022307","journal-title":"Phys. Rev. A"},{"key":"4857_CR4","doi-asserted-by":"publisher","first-page":"1951","DOI":"10.1007\/s11128-011-0348-5","volume":"11","author":"H Prakash","year":"2012","unstructured":"Prakash, H., Verma, V.: Minimum assured fidelity and minimum average fidelity in quantum teleportation of single qubit using non-maximally entangled states. Quantum Inf. Process. 11, 1951\u20131959 (2012). https:\/\/doi.org\/10.1007\/s11128-011-0348-5","journal-title":"Quantum Inf. Process."},{"key":"4857_CR5","doi-asserted-by":"publisher","first-page":"045001","DOI":"10.1088\/0031-8949\/85\/04\/045001","volume":"85","author":"S Adhikari","year":"2012","unstructured":"Adhikari, S., Majumdar, A.S., Home, D., Pan, A.K., Joshi, P.: Quantum teleportation using non-orthogonal entangled channels. Phys. Scr. 85, 045001 (2012). https:\/\/doi.org\/10.1088\/0031-8949\/85\/04\/045001","journal-title":"Phys. Scr."},{"key":"4857_CR6","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1038\/s42254-023-00588-x","volume":"5","author":"X-M Hu","year":"2023","unstructured":"Hu, X.-M., Guo, Y., Liu, B.H., Li, C.F., Guo, G.-C.: Progress in quantum teleportation. Nat. Rev. Phys. 5, 339\u2013353 (2023). https:\/\/doi.org\/10.1038\/s42254-023-00588-x","journal-title":"Nat. Rev. Phys."},{"key":"4857_CR7","doi-asserted-by":"publisher","first-page":"4394","DOI":"10.1103\/PhysRevA.58.4394","volume":"58","author":"A Karlson","year":"1998","unstructured":"Karlson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394\u20134400 (1998). https:\/\/doi.org\/10.1103\/PhysRevA.58.4394","journal-title":"Phys. Rev. A"},{"key":"4857_CR8","doi-asserted-by":"publisher","first-page":"052306","DOI":"10.1103\/PhysRevA.75.052306","volume":"75","author":"ZX Man","year":"2007","unstructured":"Man, Z.X., Xia, Y.J., An, N.B.: Genuine multiqubit entanglement and controlled. Phys. Rev. A 75, 052306 (2007). https:\/\/doi.org\/10.1103\/PhysRevA.75.052306","journal-title":"Phys. Rev. A"},{"key":"4857_CR9","doi-asserted-by":"publisher","first-page":"022329","DOI":"10.1103\/PhysRevA.70.022329","volume":"70","author":"CP Yang","year":"2004","unstructured":"Yang, C.P., Chu, S.I., Han, S.: Efficient many-party controlled teleportation of multiqubit quantum information via entanglement. Phys. Rev. A 70, 022329 (2004). https:\/\/doi.org\/10.1103\/PhysRevA.70.022329","journal-title":"Phys. Rev. A"},{"key":"4857_CR10","doi-asserted-by":"publisher","first-page":"2061","DOI":"10.1007\/s10773-015-2846-1","volume":"55","author":"V Verma","year":"2016","unstructured":"Verma, V., Prakash, H.: Standard quantum teleportation and controlled quantum teleportation of arbitrary n qubit information state. Int. J. Theor. Phys. 55, 2061\u20132070 (2016). https:\/\/doi.org\/10.1007\/s10773-015-2846-1","journal-title":"Int. J. Theor. Phys."},{"key":"4857_CR11","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/j.physleta.2005.11.051","volume":"352","author":"ZJ Zhang","year":"2006","unstructured":"Zhang, Z.J.: Controlled teleportation of an arbitrary n-qubit quantum information using quantum secret sharing of classical message. Phys. Lett. A 352, 55\u201358 (2006). https:\/\/doi.org\/10.1016\/j.physleta.2005.11.051","journal-title":"Phys. Lett. A"},{"key":"4857_CR12","doi-asserted-by":"publisher","first-page":"50001","DOI":"10.1209\/0295-5075\/84\/50001","volume":"84","author":"T Gao","year":"2008","unstructured":"Gao, T., Yan, F.L., Li, Y.C.: Optimal controlled teleportation. EPL 84, 50001 (2008). https:\/\/doi.org\/10.1209\/0295-5075\/84\/50001","journal-title":"EPL"},{"key":"4857_CR13","doi-asserted-by":"publisher","first-page":"022338","DOI":"10.1103\/PhysRevA.72.022338","volume":"72","author":"FG Deng","year":"2005","unstructured":"Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72, 022338 (2005). https:\/\/doi.org\/10.1103\/PhysRevA.72.022338","journal-title":"Phys. Rev. A"},{"key":"4857_CR14","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1007\/s11128-022-03737-w","volume":"22","author":"WM Shi","year":"2022","unstructured":"Shi, W.M., Bai, M.X., Zhou, Y.H., Yang, Y.G.: Controlled quantum teleportation based on quantum walks. Quantum Inf. Process. 22, 34 (2022). https:\/\/doi.org\/10.1007\/s11128-022-03737-w","journal-title":"Quantum Inf. Process."},{"key":"4857_CR15","doi-asserted-by":"publisher","first-page":"1079","DOI":"10.1007\/s11082-023-05351-1","volume":"55","author":"A Ahmadkhaniha","year":"2023","unstructured":"Ahmadkhaniha, A., Maf, Y., Kazemikhah, P., Aghababa, H., Barati, M., Kolahdouz, M.: Enhancing quantum teleportation: an enable based protocol exploiting distributed quantum gates. Opt. Quantum Electron. 55, 1079 (2023). https:\/\/doi.org\/10.1007\/s11082-023-05351-1","journal-title":"Opt. Quantum Electron."},{"key":"4857_CR16","doi-asserted-by":"publisher","first-page":"568","DOI":"10.1007\/s11082-022-03951-x","volume":"54","author":"Y Maf","year":"2022","unstructured":"Maf, Y., Kazemikhah, P., Ahmadkhaniha, A., Aghababa, H., Kolahdouz, M.: Bidirectional quantum teleportation of an arbitrary number of qubits over a noisy quantum system using 2n Bell states as quantum channel. Opt. Quantum Electron. 54, 568 (2022). https:\/\/doi.org\/10.1007\/s11082-022-03951-x","journal-title":"Opt. Quantum Electron."},{"key":"4857_CR17","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1007\/s11128-023-03950-1","volume":"22","author":"ZH Hang","year":"2023","unstructured":"Hang, Z.H., Sang, Y.Y.: Bidirectional quantum teleportation in multi-hop communication network. Quantum Inf. Process. 22, 201 (2023). https:\/\/doi.org\/10.1007\/s11128-023-03950-1","journal-title":"Quantum Inf. Process."},{"key":"4857_CR18","doi-asserted-by":"publisher","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). https:\/\/doi.org\/10.1103\/PhysRevA.92.042314","journal-title":"Phys. Rev. A"},{"key":"4857_CR19","doi-asserted-by":"publisher","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). https:\/\/doi.org\/10.1038\/srep13453","journal-title":"Sci. Rep."},{"key":"4857_CR20","doi-asserted-by":"publisher","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). https:\/\/doi.org\/10.1103\/PhysRevA.82.032318","journal-title":"Phys. Rev. A"},{"key":"4857_CR21","doi-asserted-by":"publisher","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., et al.: Quantum teleportation in high dimensions. Phys. Rev. Lett. 123, 070505 (2019). https:\/\/doi.org\/10.1103\/PhysRevLett.123.070505","journal-title":"Phys. Rev. Lett."},{"key":"4857_CR22","doi-asserted-by":"publisher","first-page":"230311","DOI":"10.1007\/s11433-023-2286-8","volume":"67","author":"MY Lv","year":"2024","unstructured":"Lv, M.Y., Hu, X.M., Gong, N.F., et al.: Demonstration of controlled high-dimensional quantum teleportation. Sci. China-Phys. Mech. Astron. 67, 230311 (2024). https:\/\/doi.org\/10.1007\/s11433-023-2286-8","journal-title":"Sci. China-Phys. Mech. Astron."},{"key":"4857_CR23","doi-asserted-by":"publisher","first-page":"400","DOI":"10.1007\/s11128-023-04157-0","volume":"22","author":"Y Ding","year":"2023","unstructured":"Ding, Y., Wei, Y.Z., Li, Z.Y., Jiang, M.: Quantum teleportation based on non-maximally entangled graph states. Quantum Inf. Process. 22, 400 (2023). https:\/\/doi.org\/10.1007\/s11128-023-04157-0","journal-title":"Quantum Inf. Process."},{"key":"4857_CR24","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1038\/s41377-023-01158-7","volume":"12","author":"S Shen","year":"2023","unstructured":"Shen, S., Yuan, C.Z., Zhang, Z.C., et al.: Hertz-rate metropolitan quantum teleportation. Light Sci. Appl. 12, 115 (2023). https:\/\/doi.org\/10.1038\/s41377-023-01158-7","journal-title":"Light Sci. Appl."},{"key":"4857_CR25","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). https:\/\/doi.org\/10.1038\/37539","journal-title":"Nature"},{"key":"4857_CR26","doi-asserted-by":"publisher","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\u20131125 (1998). https:\/\/doi.org\/10.1103\/PhysRevLett.80.1121","journal-title":"Phys. Rev. Lett."},{"key":"4857_CR27","doi-asserted-by":"publisher","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). https:\/\/doi.org\/10.1126\/science.282.5389.706","journal-title":"Science"},{"key":"4857_CR28","doi-asserted-by":"publisher","first-page":"014302","DOI":"10.1103\/PhysRevA.64.014302","volume":"64","author":"HW Lee","year":"2001","unstructured":"Lee, H.W.: Total teleportation of an entangled state. Phys. Rev. A 64, 014302 (2001). https:\/\/doi.org\/10.1103\/PhysRevA.64.014302","journal-title":"Phys. Rev. A"},{"key":"4857_CR29","doi-asserted-by":"publisher","first-page":"678","DOI":"10.1038\/nphys417","volume":"2","author":"Q Zhang","year":"2006","unstructured":"Zhang, Q., Goebel, A., Wagenknecht, C., Chen, Y.A., Zhao, B., Yang, T., Mair, A., Schmiedmayer, J., Pan, J.W.: Experimental quantum teleportation of a two-qubit composite system. Nat. Phys. 2, 678\u2013682 (2006). https:\/\/doi.org\/10.1038\/nphys417","journal-title":"Nat. Phys."},{"key":"4857_CR30","doi-asserted-by":"publisher","first-page":"376","DOI":"10.1038\/nphoton.2010.87","volume":"4","author":"XM Jin","year":"2010","unstructured":"Jin, X.M., Ren, J.G., Yang, B., Yi, Z.H., Zhou, F., Xu, X.F., Wang, S.K., Yang, D., Hu, Y.F., Jiang, S., Yang, T., Yin, H., Chen, K., Peng, C.Z., Pan, J.W.: Experimental free-space quantum teleportation. Nat. Photonics 4, 376\u2013381 (2010). https:\/\/doi.org\/10.1038\/nphoton.2010.87","journal-title":"Nat. Photonics"},{"key":"4857_CR31","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1038\/nature11332","volume":"488","author":"J Yin","year":"2012","unstructured":"Yin, J., Ren, J.G., Lu, H., Cao, Y., Yong, H.L., et al.: Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185\u2013188 (2012). https:\/\/doi.org\/10.1038\/nature11332","journal-title":"Nature"},{"key":"4857_CR32","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1038\/nature23675","volume":"549","author":"JG Ren","year":"2017","unstructured":"Ren, J.G., Xu, P., Yong, H.L., Zhang, L., et al.: Ground-to-satellite quantum teleportation. Nature 549, 70\u201373 (2017). https:\/\/doi.org\/10.1038\/nature23675","journal-title":"Nature"},{"key":"4857_CR33","doi-asserted-by":"publisher","first-page":"230501","DOI":"10.1103\/PhysRevLett.125.230501","volume":"125","author":"XM Hu","year":"2020","unstructured":"Hu, X.M., Zhang, C., Liu, B.H., Cai, Y., Ye, X.-J., Guo, Y., Xing, W.B., Huang, C.-X., Huang, Y.-F., Li, C.-F., Guo, G.-C.: Experimental high-dimensional quantum teleportation. Phys. Rev. Lett. 125, 230501 (2020). https:\/\/doi.org\/10.1103\/PhysRevLett.125.230501","journal-title":"Phys. Rev. Lett."},{"key":"4857_CR34","doi-asserted-by":"publisher","first-page":"250301","DOI":"10.1007\/s11433-022-2065-x","volume":"66","author":"P-S Yan","year":"2023","unstructured":"Yan, P.-S., Zhou, L., Zhong, W., Sheng, Y.-B.: Advances in quantum entanglement purification. Sci. China Phys. Mech. Astron. 66, 250301 (2023). https:\/\/doi.org\/10.1007\/s11433-022-2065-x","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"4857_CR35","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1016\/j.scib.2021.12.018","volume":"67","author":"CX Huang","year":"2022","unstructured":"Huang, C.X., Hu, X.M., Liu, B.H., Zhou, L., Sheng, Y.B., Li, C.F., Guo, G.C.: Experimental one-step deterministic polarization entanglement purification. Sci. Bull. 67, 593\u2013597 (2022). https:\/\/doi.org\/10.1016\/j.scib.2021.12.018","journal-title":"Sci. Bull."},{"key":"4857_CR36","doi-asserted-by":"publisher","first-page":"010503","DOI":"10.1103\/PhysRevLett.126.010503","volume":"126","author":"XM Hu","year":"2021","unstructured":"Hu, X.M., Huang, C.X., Sheng, Y.B., Zhou, L., Liu, B.H., Guo, Y., Zhang, C., Xing, W.B., Huang, Y.F., Li, C.F., Guo, G.C.: Long-distance entanglement purification for quantum communication. Phys. Rev. Lett. 126, 010503 (2021). https:\/\/doi.org\/10.1103\/PhysRevLett.126.010503","journal-title":"Phys. Rev. Lett."},{"key":"4857_CR37","doi-asserted-by":"publisher","first-page":"014301","DOI":"10.1103\/PhysRevA.64.014301","volume":"64","author":"Z Zhao","year":"2001","unstructured":"Zhao, Z., Pan, J.W., Zhan, M.S.: Practical scheme for entanglement concentration. Phys. Rev. A 64, 014301 (2001). https:\/\/doi.org\/10.1103\/PhysRevA.64.014301","journal-title":"Phys. Rev. A"},{"key":"4857_CR38","doi-asserted-by":"publisher","first-page":"022311","DOI":"10.1103\/PhysRevA.85.022311","volume":"85","author":"FG Deng","year":"2012","unstructured":"Deng, F.G.: Optimal nonlocal multipartite entanglement concentration based on projection measurements. Phys. Rev. A 85, 022311 (2012). https:\/\/doi.org\/10.1103\/PhysRevA.85.022311","journal-title":"Phys. Rev. A"},{"key":"4857_CR39","doi-asserted-by":"publisher","first-page":"1023","DOI":"10.1038\/nature07127","volume":"453","author":"HJ Kimble","year":"2008","unstructured":"Kimble, H.J.: The quantum internet. Nature 453, 1023\u20131030 (2008). https:\/\/doi.org\/10.1038\/nature07127","journal-title":"Nature"},{"key":"4857_CR40","doi-asserted-by":"publisher","first-page":"2218","DOI":"10.1109\/COMST.2021.3109944","volume":"23","author":"A Singh","year":"2021","unstructured":"Singh, A., Dev, K., Siljak, H., Joshi, H.D., Magarini, M.: Quantum internet\u2014applications, functionalities, enabling technologies, challenges, and research directions. IEEE Commum. Surv Tutor. 23, 2218\u20132245 (2021). https:\/\/doi.org\/10.1109\/COMST.2021.3109944","journal-title":"IEEE Commum. Surv Tutor."},{"key":"4857_CR41","doi-asserted-by":"publisher","first-page":"5932","DOI":"10.1103\/PhysRevLett.81.5932","volume":"81","author":"HJ Briegel","year":"1998","unstructured":"Briegel, H.J., D\u00fcr, W., Cirac, J.I., Zoller, P.: Quantum repeaters: the role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932\u20135935 (1998). https:\/\/doi.org\/10.1103\/PhysRevLett.81.5932","journal-title":"Phys. Rev. Lett."},{"key":"4857_CR42","doi-asserted-by":"publisher","first-page":"022329","DOI":"10.1103\/PhysRevA.89.022329","volume":"89","author":"K Wang","year":"2014","unstructured":"Wang, K., Yu, X.T., Lu, S.L., Gong, Y.X.: Quantum wireless multihop communication based on arbitrary Bell pairs and teleportation. Phys. Rev. A 89, 022329 (2014). https:\/\/doi.org\/10.1103\/PhysRevA.89.022329","journal-title":"Phys. Rev. A"},{"key":"4857_CR43","doi-asserted-by":"publisher","first-page":"52052","DOI":"10.1109\/ACCESS.2020.2980939","volume":"8","author":"N Chen","year":"2020","unstructured":"Chen, N., Shuai, S., Yan, B., Xu, N., Pei, C.: Multi-Hop quantum communication based on GHZ states and teleportation. IEEE Access 8, 52052\u201352061 (2020). https:\/\/doi.org\/10.1109\/ACCESS.2020.2980939","journal-title":"IEEE Access"},{"key":"4857_CR44","doi-asserted-by":"publisher","first-page":"981","DOI":"10.1007\/s10773-017-3631-0","volume":"57","author":"XZ Zhou","year":"2018","unstructured":"Zhou, X.Z., Yu, X.T., Zhang, Z.C.: Multi-hop teleportation of an unknown qubit state based on W states. Int. Theor. Phys. 57, 981\u2013993 (2018). https:\/\/doi.org\/10.1007\/s10773-017-3631-0","journal-title":"Int. Theor. Phys."},{"key":"4857_CR45","doi-asserted-by":"publisher","first-page":"3348","DOI":"10.1007\/s10773-017-3504-6","volume":"56","author":"JY Peng","year":"2017","unstructured":"Peng, J.Y., Bai, M.Q., Mo, Z.W.: Deterministic multihop controlled teleportation of arbitrary single-qubit state. Int. J. Theor. Phys. 56, 3348\u20133358 (2017). https:\/\/doi.org\/10.1007\/s10773-017-3504-6","journal-title":"Int. J. Theor. Phys."},{"key":"4857_CR46","doi-asserted-by":"publisher","first-page":"2206","DOI":"10.1007\/s10773-021-04837-6","volume":"60","author":"J Wang","year":"2021","unstructured":"Wang, J., Huang, L., Shu, L.: Deterministic multi-hop teleportation of arbitrary single qubit state via partially entangled GHZ-type state. Int. J. Theor. Phys. 60, 2206\u20132215 (2021). https:\/\/doi.org\/10.1007\/s10773-021-04837-6","journal-title":"Int. J. Theor. Phys."},{"key":"4857_CR47","doi-asserted-by":"publisher","first-page":"110303","DOI":"10.1007\/s11467-016-0553-x","volume":"11","author":"PY Xiong","year":"2016","unstructured":"Xiong, P.Y., Yu, X.T., Zhan, H.T., Zhang, Z.C.: Multiple teleportation via partially entangled GHZ state. Front. Phys. 11, 110303 (2016). https:\/\/doi.org\/10.1007\/s11467-016-0553-x","journal-title":"Front. Phys."},{"key":"4857_CR48","doi-asserted-by":"publisher","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., Zhang, Z.C.: Multihop teleportation of two-qubit state via the composite GHZ\u2013Bell channel. Phys. Lett. A 381, 76\u201381 (2017). https:\/\/doi.org\/10.1016\/j.physleta.2016.10.048","journal-title":"Phys. Lett. A"},{"key":"4857_CR49","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1007\/s11128-021-03121-0","volume":"20","author":"YL Yang","year":"2021","unstructured":"Yang, Y.L., Yang, Y.G., Zhou, Y.H., Shi, W.M., Li, J.: Efficient quantum multi-hop communication based on Greenberger\u2013Horne\u2013Zeilinger states and Bell states. Quantum Inf. Process. 20, 189 (2021). https:\/\/doi.org\/10.1007\/s11128-021-03121-0","journal-title":"Quantum Inf. Process."},{"key":"4857_CR50","doi-asserted-by":"publisher","first-page":"3605","DOI":"10.1007\/s10773-018-3874-4","volume":"57","author":"Z Zhang","year":"2018","unstructured":"Zhang, Z., Wang, J., Sun, M.: Multihop teleportation via the composite of asymmetric W state and bell state. Int. J. Theor. Phys. 57, 3605\u20133620 (2018). https:\/\/doi.org\/10.1007\/s10773-018-3874-4","journal-title":"Int. J. Theor. Phys."},{"key":"4857_CR51","doi-asserted-by":"publisher","first-page":"050308","DOI":"10.1088\/1674-1056\/24\/5\/050308","volume":"24","author":"LH Shi","year":"2015","unstructured":"Shi, L.H., Yu, X.T., Cai, X.F., Gong, Y.X., Zhang, Z.C.: Quantum information transmission in the quantum wireless multihop network based on Werner state. Chin. Phys. B 24, 050308 (2015). https:\/\/doi.org\/10.1088\/1674-1056\/24\/5\/050308","journal-title":"Chin. Phys. B"},{"key":"4857_CR52","doi-asserted-by":"publisher","first-page":"14001","DOI":"10.1209\/0295-5075\/ac37d0","volume":"136","author":"PS Yan","year":"2021","unstructured":"Yan, P.S., Zhou, L., Zhong, W., Sheng, Y.B.: A survey on advances of quantum repeater. EPL 136, 14001 (2021). https:\/\/doi.org\/10.1209\/0295-5075\/ac37d0","journal-title":"EPL"},{"key":"4857_CR53","doi-asserted-by":"publisher","first-page":"2245","DOI":"10.1103\/PhysRevLett.80.2245","volume":"80","author":"WK Wootters","year":"1998","unstructured":"Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245\u20132248 (1998). https:\/\/doi.org\/10.1103\/PhysRevLett.80.2245","journal-title":"Phys. Rev. Lett."},{"key":"4857_CR54","doi-asserted-by":"publisher","first-page":"3891","DOI":"10.1103\/PhysRevLett.80.3891","volume":"80","author":"JW Pan","year":"1998","unstructured":"Pan, J.W., Bouwmeester, D., Weinfurter, H., Zeilinger, A.: Experimental entanglement swapping: entangling photons that never interacted. Phys. Rev. Lett. 80, 3891\u20133894 (1998). https:\/\/doi.org\/10.1103\/PhysRevLett.80.3891","journal-title":"Phys. Rev. Lett."},{"key":"4857_CR55","doi-asserted-by":"publisher","first-page":"832","DOI":"10.1007\/s11082-022-04164-y","volume":"54","author":"M Khorrampanah","year":"2022","unstructured":"Khorrampanah, M., Houshmand, M., Sadeghizadeh, M., Aghababa, H., Maf, Y.: Enhanced multiparty quantum secret sharing protocol based on quantum secure direct communication and corresponding qubits in noisy environment. Opt. Quantum Electron. 54, 832 (2022). https:\/\/doi.org\/10.1007\/s11082-022-04164-y","journal-title":"Opt. Quantum Electron."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04857-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-025-04857-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04857-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,21]],"date-time":"2025-08-21T07:35:07Z","timestamp":1755761707000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-025-04857-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,28]]},"references-count":55,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2025,8]]}},"alternative-id":["4857"],"URL":"https:\/\/doi.org\/10.1007\/s11128-025-04857-9","relation":{},"ISSN":["1573-1332"],"issn-type":[{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2025,7,28]]},"assertion":[{"value":"8 March 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 July 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 July 2025","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 no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"239"}}