Luo, Ming-Xing; Deng, Yun Joint remote preparation of an arbitrary 4-qubit \(\chi\)-state. (English) Zbl 1262.81030 Int. J. Theor. Phys. 51, No. 10, 3027-3036 (2012). Summary: Our purpose in this paper, is to show that several senders can jointly prepare a four-qubit \(|\chi \rangle \)-state to a remote receiver. By constructing some useful measurement bases, we first present two schemes for preparing an arbitrary \(|\chi \rangle \)-state with real coefficients or complex coefficients via the same quantum channel. Then, using the permutation group, the success probability is improved. Finally, the present schemes are generalized to multi-sender. Cited in 17 Documents MSC: 81P45 Quantum information, communication, networks (quantum-theoretic aspects) 81P40 Quantum coherence, entanglement, quantum correlations 81P15 Quantum measurement theory, state operations, state preparations 20B07 General theory for infinite permutation groups Keywords:joint remote state preparation; \(\chi\)-state; GHZ state; permutation group PDFBibTeX XMLCite \textit{M.-X. Luo} and \textit{Y. Deng}, Int. J. Theor. Phys. 51, No. 10, 3027--3036 (2012; Zbl 1262.81030) Full Text: DOI References: [1] Xia, Y., Song, J., Song, H.S.: Opt. Commun. 281, 4946–4950 (2008) [2] Nguyen, B.A., Kim, J.: J. Phys. B, At. Mol. Opt. Phys. 41, 095501 (2008) [3] Nguyen, B.A.: J. Phys. B, At. Mol. Opt. Phys. 42, 125501 (2009) [4] Hou, K., Wang, J., Lu, Y.L., Shi, S.H.: Int. J. Theor. Phys. 48, 2005–2015 (2009) · Zbl 1171.81330 [5] Luo, M.X., Chen, X.B., Ma, S.Y., Yang, Y.X., Niu, X.X.: Opt. Commun. 283, 4796–4801 (2010) [6] Chen, Q.Q., Xia, Y., An, N.B.: Opt. Commun. 284, 2617–2621 (2011) [7] Xiao, X.Q., Liu, J.M., Zeng, G.H.: J. Phys. B, At. Mol. Opt. Phys. 44, 075501 (2011) [8] Zhan, Y.-B., Hu, B.L., Ma, P.C.: J. Phys. B, At. Mol. Opt. Phys. 44, 095501 (2011) [9] Lo, H.K.: Phys. Rev. A 62, 012313 (2000) [10] Pati, A.K.: Phys. Rev. A 63, 014302 (2001) [11] Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Phys. Rev. Lett. 87, 077902 (2001) [12] Berry, D.W., Sanders, B.C.: Phys. Rev. Lett. 90, 027901 (2003) [13] Abeyesinghe, A., Hayden, P.: Phys. Rev. A 68, 062319 (2003) [14] Ye, M.Y., Zhang, Y.S., Guo, G.C.: Phys. Rev. A 69, 022310 (2004) [15] Pan, J.W., Bouwmeester, D., Daniell, M., Weinfurter, H., Zeilinger, A.: Nature 403, 515 (2000) [16] Peters, N.A., Barreiro, J.T., Goggin, M.E., Wei, T.C., Kwiat, P.G.: Phys. Rev. Lett. 94, 150502 (2005) [17] Xia, Y., Song, J., Song, H.S., Guo, J.L.: Int. J. Quantum Inf. 6(5), 1127 (2008) · Zbl 1158.81324 [18] Nguyen, B.A., Jim, J.: Int. J. Quantum Inf. 6, 1051 (2008) · Zbl 1156.81329 [19] Luo, M.X., Chen, X.B., Ma, S.Y., Yang, Y.X., Hu, Z.M.: J. Phys. B, At. Mol. Opt. Phys. 43, 065501 (2010) [20] Dai, H.Y., Chen, P.X., Zhang, M., Li, C.Z.: Chin. Phys. B 17, 28 (2008) [21] Greenberger, D.M., Horne, M.A., Zeilinger, A.: Bell’s Theorem, Quantum Theory, and Conceptions of the Universe, pp. 73–76. Kluwer Academics, Dordrecht (1989) [22] Cameron, P.J.: Permutation Groups. LMS Student Text, vol. 45. Cambridge University Press, Cambridge (1999) · Zbl 0922.20003 [23] Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996) [24] Cleve, R., Gottesman, D., Lo, H.K.: Phys. Rev. Lett. 83, 648 (1999) [25] Li, X., Long, G.L., Deng, F.G., Pan, J.W.: Phys. Rev. A 69, 052307 (2004) [26] Zhang, Z.J.: Opt. Commun. 261(1), 199 (2006) [27] Wang, Z.Y., Liu, Y., Wang, D., Zhang, Z.: Opt. Commun. 276(2), 322 (2007) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.