{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T00:29:23Z","timestamp":1778200163233,"version":"3.51.4"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"12","license":[{"start":{"date-parts":[[2023,11,30]],"date-time":"2023-11-30T00:00:00Z","timestamp":1701302400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,11,30]],"date-time":"2023-11-30T00:00:00Z","timestamp":1701302400000},"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\/s11128-023-04176-x","type":"journal-article","created":{"date-parts":[[2023,11,30]],"date-time":"2023-11-30T15:02:22Z","timestamp":1701356542000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Quantum multicast, multi-output protocols of quantum state sharing and quantum operation sharing via six-particle cluster state"],"prefix":"10.1007","volume":"22","author":[{"given":"Jia-yin","family":"Peng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fan","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jian-gang","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5966-2637","authenticated-orcid":false,"given":"Liang","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,11,30]]},"reference":[{"key":"4176_CR1","volume-title":"Quantum Computation and Quantum Information","author":"MA Nielsen","year":"2000","unstructured":"Nielsen, M.A., Chuang, L.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)"},{"key":"4176_CR2","doi-asserted-by":"crossref","first-page":"1585","DOI":"10.7498\/aps.55.1585","volume":"55","author":"CJ Shan","year":"2006","unstructured":"Shan, C.J., Xia, Y.J.: The entanglement character of two ebtangled atoms in Tavis-Cummings model. Acta Phys. Sin. 55, 1585 (2006)","journal-title":"Acta Phys. Sin."},{"issue":"7","key":"4176_CR3","doi-asserted-by":"crossref","first-page":"270311","DOI":"10.1007\/s11433-019-1492-4","volume":"63","author":"HY Wang","year":"2020","unstructured":"Wang, H.Y., Pan, J., Zheng, W.Q., et al.: Algorithmic cooling based on cross-relaxation and decoherence-free subspace. Sci. China Phys. Mech. Astron. 63(7), 270311 (2020)","journal-title":"Sci. China Phys. Mech. Astron."},{"issue":"1","key":"4176_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/bull\/1678","volume":"57","author":"T Vidick","year":"2019","unstructured":"Vidick, T.: Verifying quantum computations at scale: a cryptographic leash on quantum devices. Bull. Am. Math. Soc. 57(1), 1 (2019)","journal-title":"Bull. Am. Math. Soc."},{"key":"4176_CR5","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/s11128-023-03888-4","volume":"22","author":"JY Peng","year":"2023","unstructured":"Peng, J.Y., Yang, Z., Tang, L., Peng, J.S.: Multcast-based multiparty remote state preparation of complex coefficient two-qubit states. Quantum Inf. Process. 22, 141 (2023)","journal-title":"Quantum Inf. Process."},{"issue":"13","key":"4176_CR6","doi-asserted-by":"crossref","first-page":"1895","DOI":"10.1103\/PhysRevLett.70.1895","volume":"70","author":"CH Bennett","year":"1993","unstructured":"Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein\u2013Podolsky\u2013Rosen channels. Phys. Rev. Lett. 70(13), 1895\u20131899 (1993)","journal-title":"Phys. Rev. Lett."},{"issue":"6660","key":"4176_CR7","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.: Experimmental quantum telepotation. Nature 390(6660), 575\u2013579 (1997)","journal-title":"Nature"},{"issue":"1","key":"4176_CR8","first-page":"1765","volume":"5","author":"J Joo","year":"2003","unstructured":"Joo, J., Park, Y.J., Oh, S., Kim, J.: Quantum teleportation via a W state. New J. Phys. 5(1), 1765\u20131768 (2003)","journal-title":"New J. Phys."},{"issue":"2","key":"4176_CR9","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1088\/0253-6102\/48\/2\/012","volume":"48","author":"XM Xiu","year":"2007","unstructured":"Xiu, X.M., Dong, L., Gao, Y.J., Chi, F.: Controlled quantum teleportation of a one-partacle unknown state via a three-particle entangled state. Commun. Theor. Phys. 48(2), 261\u2013263 (2007)","journal-title":"Commun. Theor. Phys."},{"issue":"9","key":"4176_CR10","first-page":"633","volume":"50","author":"SS Nie","year":"2008","unstructured":"Nie, S.S., Hong, Y.Y., Zhi-Hui, Y.I., et al.: Controlled teleportation using four-particle cluster state. Commun. Theor. Phys. 50(9), 633\u2013636 (2008)","journal-title":"Commun. Theor. Phys."},{"issue":"6","key":"4176_CR11","doi-asserted-by":"crossref","first-page":"1740","DOI":"10.1007\/s10773-012-1208-5","volume":"52","author":"XW Zha","year":"2013","unstructured":"Zha, X.W., Zou, Z.C., Qi, J.X., et al.: Bidirectional quantum controlled teleportation via five-qubit cluster state. Int. J. Theor. Phys. 52(6), 1740\u20131744 (2013)","journal-title":"Int. J. Theor. Phys."},{"issue":"1","key":"4176_CR12","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1007\/s11128-020-02945-6","volume":"20","author":"S Aliloute","year":"2021","unstructured":"Aliloute, S., Allati, A.E., Aouadi, I.E.: Bidirectional teleportation using coherent states. Quantum Inf. Process. 20(1), 29 (2021)","journal-title":"Quantum Inf. Process."},{"key":"4176_CR13","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1038\/nature11332","volume":"488","author":"J Yin","year":"2012","unstructured":"Yin, J., Ren, J., Lu, H., et al.: Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185\u2013188 (2012)","journal-title":"Nature"},{"key":"4176_CR14","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1038\/nature11472","volume":"489","author":"XS Ma","year":"2012","unstructured":"Ma, X.S., Herbst, T., Scheidl, T., et al.: Quantum teleportation over 143 kilometres using active feed-forward. Nature 489, 269\u2013273 (2012)","journal-title":"Nature"},{"key":"4176_CR15","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1038\/nature23675","volume":"549","author":"JG Ren","year":"2017","unstructured":"Ren, J.G., Xu, P., Yong, H.L., et al.: Ground-to-satellite quantum teleportation. Nature 549, 70\u201373 (2017)","journal-title":"Nature"},{"issue":"5","key":"4176_CR16","doi-asserted-by":"crossref","first-page":"50301","DOI":"10.1088\/1674-1056\/ac43b0","volume":"31","author":"XF Liu","year":"2022","unstructured":"Liu, X.F., Li, D.F., Yun-Dan Zheng, Y.D., et al.: Experimental realization of quantum controlled teleportation of arbitrary two-qubit state via a five-qubit entangled state. Chin. Phys. B 31(5), 50301\u2013050301 (2022)","journal-title":"Chin. Phys. B"},{"key":"4176_CR17","doi-asserted-by":"crossref","first-page":"1829","DOI":"10.1103\/PhysRevA.59.1829","volume":"59","author":"M Hillery","year":"1999","unstructured":"Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829\u20131834 (1999)","journal-title":"Phys. Rev. A"},{"issue":"2","key":"4176_CR18","doi-asserted-by":"crossref","first-page":"620","DOI":"10.1007\/s10773-012-1369-2","volume":"52","author":"JY Peng","year":"2013","unstructured":"Peng, J.Y., Mo, Z.W.: Quantum sharing an unknown multi-particle state via POVM. Int. Theoret. Phys. 52(2), 620\u2013633 (2013)","journal-title":"Int. Theoret. Phys."},{"key":"4176_CR19","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/s11128-010-0176-z","volume":"10","author":"RH Shi","year":"2011","unstructured":"Shi, R.H., Huang, L.S., Yang, W., Zhong, H.: Asymmetric multi-party quantum state sharing of an arbitrary m-qubit state. Quantum Inf. Process. 10, 53\u201361 (2011)","journal-title":"Quantum Inf. Process."},{"key":"4176_CR20","doi-asserted-by":"crossref","first-page":"010304","DOI":"10.1088\/1674-1056\/23\/1\/010304","volume":"23","author":"JY Peng","year":"2014","unstructured":"Peng, J.Y., Bai, M.Q., Mo, Z.W.: Hierarchical and probabilistic quantum state sharing via a non-maximally entangled $$\\chi \\rangle $$ state. Chin. Phys. B 23, 010304 (2014)","journal-title":"Chin. Phys. B"},{"issue":"11","key":"4176_CR21","first-page":"1803","volume":"42","author":"S Choudhury","year":"2008","unstructured":"Choudhury, S., Muralidharan, S., Panigrahi, P.K.: Quantum teleportation and state sharing using a genuinely entangled six qubit state. J. Phys. A Math. Theoret. 42(11), 1803\u20131814 (2008)","journal-title":"J. Phys. A Math. Theoret."},{"key":"4176_CR22","doi-asserted-by":"crossref","first-page":"2481","DOI":"10.1007\/s10773-015-2885-7","volume":"55","author":"JY Peng","year":"2016","unstructured":"Peng, J.Y., Bai, M.Q., Mo, Z.W.: Bidirectional quantum states sharing. Int. J. Theor. Phys. 55, 2481\u20132489 (2016)","journal-title":"Int. J. Theor. Phys."},{"issue":"6","key":"4176_CR23","doi-asserted-by":"crossref","first-page":"1196","DOI":"10.1016\/j.optcom.2009.11.015","volume":"283","author":"XW Wang","year":"2010","unstructured":"Wang, X.W., Xia, L.X., Wang, Z.Y., et al.: Hierarchical quantum information splitting. Opt. Commun. 283(6), 1196\u20131199 (2010)","journal-title":"Opt. Commun."},{"issue":"1","key":"4176_CR24","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/s11128-019-2457-5","volume":"18","author":"JY Peng","year":"2019","unstructured":"Peng, J.Y., Bai, M.Q., Mo, Z.W.: Multicharacters remote rotation sharing with five-particle ciuster state. Quantum Inf. Process. 18(1), 339 (2019)","journal-title":"Quantum Inf. Process."},{"key":"4176_CR25","doi-asserted-by":"crossref","first-page":"012313","DOI":"10.1103\/PhysRevA.62.012313","volume":"62","author":"HK Lo","year":"2000","unstructured":"Lo, H.K.: Classical-communication costin distributed quantum-information processing: A generalization of quantumcommunication complexity. Phys. Rev. A 62, 012313 (2000)","journal-title":"Phys. Rev. A"},{"key":"4176_CR26","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":"4176_CR27","doi-asserted-by":"crossref","first-page":"2155","DOI":"10.1007\/s11128-016-1257-4","volume":"15","author":"JF Li","year":"2016","unstructured":"Li, J.F., Liu, J.M., Feng, X.L., Oh, C.H.: Deterministic remote two-qubit state preparation in dissipative environments. Quantum Inf. Process. 15, 2155\u20132168 (2016)","journal-title":"Quantum Inf. Process."},{"key":"4176_CR28","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1007\/s11128-021-03282-y","volume":"20","author":"JY Peng","year":"2021","unstructured":"Peng, J.Y., Bai, M.Q., Tang, L., Yang, Z., Mo, Z.W.: Perfect controlled joint remote state preparation of arbitrary multi-qubit states independent of entanglement degree of the quantum channel. Quantum Inf. Process. 20, 340 (2021)","journal-title":"Quantum Inf. Process."},{"key":"4176_CR29","doi-asserted-by":"crossref","first-page":"127285","DOI":"10.1016\/j.optcom.2021.127285","volume":"499","author":"JY Peng","year":"2021","unstructured":"Peng, J.Y., Xiang, Y.: Bidirectional remote state preparation in noisy environment assisted by weak measurement. Opt. Commun. 499, 127285 (2021)","journal-title":"Opt. Commun."},{"key":"4176_CR30","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1007\/s11128-018-1917-7","volume":"17","author":"CY Zhang","year":"2018","unstructured":"Zhang, C.Y., Bai, M.Q., Zhou, S.Q.: Cyclic Joint remote state preparation in noisy environment. Quantum Inf. Process. 17, 146 (2018)","journal-title":"Quantum Inf. Process."},{"key":"4176_CR31","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1007\/s10773-022-05087-w","volume":"61","author":"JY Peng","year":"2022","unstructured":"Peng, J.Y., Lei, H.X.: Multiparty multicast schemes for remote state preparation of complex coefficient quantum states via partially entangled channels[J]. Int. J. Theoret. Phys. 61, 130 (2022)","journal-title":"Int. J. Theoret. Phys."},{"key":"4176_CR32","doi-asserted-by":"crossref","first-page":"042303","DOI":"10.1103\/PhysRevA.63.042303","volume":"63","author":"S Huegla","year":"2001","unstructured":"Huegla, S., Vaccaro, J., Chefles, A., Plenio, M.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63, 042303 (2001)","journal-title":"Phys. Rev. A"},{"key":"4176_CR33","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: At. Mol. Opt. 44, 165508 (2011)","journal-title":"J. Phys. B: At. Mol. Opt."},{"key":"4176_CR34","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1142\/S0217732322501632","volume":"37","author":"H Yuan","year":"2022","unstructured":"Yuan, H., Zhang, G., Kong, M., Zhang, Z.: Efficient tripartite scheme of remotely sharing single-qubit operation with five-qubit Brown state. Mod. Phys. Lett. A 37, 24 (2022)","journal-title":"Mod. Phys. Lett. A"},{"key":"4176_CR35","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s11128-020-02893-1","volume":"20","author":"Z Zhang","year":"2021","unstructured":"Zhang, Z., Yuan, H.: Deterministic tripartite sharing of an arbitrary single-qubit operation with the five-qubit cluster state in a given entanglement structure. Quantum Inf. Process. 20, 3 (2021)","journal-title":"Quantum Inf. Process."},{"key":"4176_CR36","first-page":"01","volume":"35","author":"Z Zhang","year":"2021","unstructured":"Zhang, Z., Xing, H., Ye, B., Xie, C.: Four-party quantum operation sharing with composite quantum channel in Bell and Yeo-Chua product state. Mod. Phys. Lett. B 35, 01 (2021)","journal-title":"Mod. Phys. Lett. B"},{"key":"4176_CR37","doi-asserted-by":"crossref","first-page":"1553","DOI":"10.1007\/s11128-014-0750-x","volume":"13","author":"H Xing","year":"2014","unstructured":"Xing, H., Liu, Y., Xie, C., Ji, Q., Zhang, Z.: Four-party deterministic operation sharing with six-qubit cluster state. Quantum Inf. Process. 13, 1553\u20131562 (2014)","journal-title":"Quantum Inf. Process."},{"issue":"2","key":"4176_CR38","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(2), 020301 (2013)","journal-title":"Chin. Phys. Lett."},{"key":"4176_CR39","doi-asserted-by":"crossref","first-page":"3771","DOI":"10.1007\/s10773-021-04942-6","volume":"60","author":"JY Peng","year":"2021","unstructured":"Peng, J.Y., Xiang, Y.: Multiparty quantum rotation operation sharing. Int. J. Theor. Phys. 60, 3771\u20133782 (2021)","journal-title":"Int. J. Theor. Phys."},{"key":"4176_CR40","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\u20132464 (2013)","journal-title":"Quantum Inf. Process."},{"issue":"1","key":"4176_CR41","doi-asserted-by":"crossref","first-page":"014305","DOI":"10.1103\/PhysRevA.78.014305","volume":"78","author":"NB Zhao","year":"2008","unstructured":"Zhao, N.B., Wang, A.M.: Local implementation of nonlocal operations with block forms. Phys. Rev. A 78(1), 014305 (2008)","journal-title":"Phys. Rev. A"},{"key":"4176_CR42","doi-asserted-by":"crossref","first-page":"678","DOI":"10.1007\/s10773-016-3209-2","volume":"56","author":"L Huang","year":"2017","unstructured":"Huang, L., Zhao, H.X.: Controlled remote state preparation of an arbitrary two-qubit state by using GHZ states. Int. J. Theoret. Phys. 56, 678\u2013682 (2017)","journal-title":"Int. J. Theoret. Phys."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-04176-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-023-04176-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-04176-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,26]],"date-time":"2023-12-26T18:07:43Z","timestamp":1703614063000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-023-04176-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,30]]},"references-count":42,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2023,12]]}},"alternative-id":["4176"],"URL":"https:\/\/doi.org\/10.1007\/s11128-023-04176-x","relation":{},"ISSN":["1573-1332"],"issn-type":[{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,30]]},"assertion":[{"value":"16 July 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 November 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 November 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"No potential conflict of interest was reported by the authors. All authors of this manuscript have read and approved the final version submitted, and contents of this manuscript have not been copyrighted or published previously and is not under consideration for publication elsewhere.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of interest"}},{"value":"The data sets generated during and\/or analysed during the current study are available from the corresponding author on reasonable request.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Data availability"}}],"article-number":"424"}}