Abstract
In this paper, a novel scheme for probabilistic teleportation is presented with multi-parameter measurements via a non-maximally entangled state. This is in contrast to the fact that the measurement kinds for quantum teleportation are usually particular in most previous schemes. The detail implementation producers for our proposal are given by using of appropriate local unitary operations. Moreover, the total success probability and classical information of this proposal are calculated. It is demonstrated that the success probability and classical cost would be changed with the multi-measurement parameters and the entanglement factor of quantum channel. Our scheme could enlarge the research range of probabilistic teleportation.


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Dada, A., Leach, J., Buller, G., Padgett, M., Andersson, E.: Experimental high dimensional two-photon entanglement and violations of the generalized Bell inequalities. Nat. Phys. 7, 677–680 (2011)
Vedral, V.: Quantum entanglement. Nat. Phys. 10, 256 (2014)
Borges, H.S., Sanz, L., Alcalde, A.M.: Excitonic entanglement of protected states in quantum dot molecules. Phys. Lett. A 380, 3111 (2016)
Bennett, C.H., Brassard, G., Grepeau, 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 (1993)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfuter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575 (1997)
Dai, H.Y., Chen, P.X., Li, C.Z.: Probabilistic teleportation of the three-particle entangled state by the partial three-particle entangled state and the three-particle entangled W state. Chin. Phys. Lett. 20, 1196 (2003)
Dai, H.Y., Chen, P.X., Li, C.Z.: Probabilistic teleportation of an arbitrary two-particle state by two partial three-particle entangled W states. J. Opt. B 6, 106 (2004)
Li, X.H., Ghose, S.: Analysis of N-qubit perfectly controlled teleportation schemes from the controllers point of view. Phys. Rev. A 91, 012320 (2015)
Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)
Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)
Dai, H.Y., Chen, P.X., Liang, L.M., Li, C.Z.: Classical communication cost and remote preparation of the four-particle GHZ class state. Phys. Lett. A 355, 285 (2006)
Dai, H.Y., Zhang, M., Kuang, L.M.: Classical communication cost and remote preparation of multi-qubit with three-party. Commun. Theor. Phys. 50, 73 (2008)
Wei, J.H., Dai, H.Y., Zhang, M.: Two efficient schemes for probabilistic remote state preparation and the combination of both schemes. Quantum Inf. Process. 13, 2115 (2014)
Luo, M.X., Chen, X.B., Yang, Y.X., Niu, X.X.: Experimental architecture of joint remote state preparation. Quantum Inf. Process. 11, 751 (2012)
Li, J.F., Liu, J.M., Xu, X.Y.: Deterministic joint remote preparation of an arbitrary two-qubit state in noisy environments. Quantum Inf. Process. 14, 3465 (2015)
Bennett, C.H., Wootters, W.K.: Communication via one-and two-particle operators on Einstein–Podolsky–Rosen state. Phys. Rev. Lett. 69, 2881 (1992)
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)
Zhang, D., Zha, X.W., Zhou, H.Y., Duan, Y.J.: Bidirectional and asymmetric quantum controlled teleportation. Int. J. Theor. Phys. 54, 1711 (2015)
Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394 (1998)
Li, W.L., Li, C.F., Guo, G.C.: Probabilistic teleportation and entanglement matching. Phys. Rev. A 61, 034301 (2000)
Wei, J.H., Dai, H.Y., Zhang, M.: A new scheme for probabilistic teleportation and its potential applications. Commun. Theor. Phys. 60, 651 (2013)
Dai, H.Y., Chen, P.X., Li, C.Z.: Probabilistic teleportation of an arbitrary two-particle state by two partially entangled GHZ state and W state. Opt. Commun. 231, 281 (2004)
Jiang, M., Dong, D.Y.: Multi-party quantum state sharing via various probabilistic channels. Quantum Inf. Process. 12, 237 (2013)
Zhao, M.J., Chen, B., Fei, S.M.: Detection of the ideal resource for multiqubit teleportation. Chin. Phys. B 24, 070302 (2015)
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 (1998)
Zheng, S.B., Guo, G.C.: Teleportation of atomic states within cavities in thermal states. Phys. Rev. A 63, 044302 (2001)
Fu, C.H., Hu, Z.N.: Quantum teleportation via completely anisotropic Heisenberg chain in inhomogeneous magnetic field. Commun. Theor. Phys. 59, 398 (2013)
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)
Oh, S., Lee, S.W., Lee, J., Lee, H.W.: Fidelity of quantum teleportation through noisy channels. Phys. Rev. A 66, 022316 (2002)
Cheong, Y.W., Lee, S.W., Lee, J., Lee, H.W.: Entanglement purification for high-dimensional multipartite systems. Phys. Rev. A 76, 042314 (2007)
Jung, E., Hwang, M.R., You, H.J., Kim, M.S., Yoo, S.K., Kim, H., Yoo, S.K., Kim, H., Park, D.K., Son, J.W., Tamaryan, S., Cha, S.K.: GHZ versus W: quantum teleportation through noisy channels. Phys. Rev. A 78, 012312 (2008)
Liang, H.Q., Liu, J.M., Feng, S.S., Chen, J.G., Xu, X.Y.: Effects of noises on joint remote state preparation via a GHZ-class channel. Quantum Inf. Process. 14, 3857 (2015)
Li, Y.M., Jin, X.M.: Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environmentss. Quantum Inf. Process. 15, 929 (2016)
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, 1 (2016)
He, X.L., Yang, C.P.: Deterministic transfer of multiqubit GHZ entangled states and quantum secret sharing between different cavities. Quantum Inf. Process. 14, 4461 (2015)
Acknowledgements
The authors thank J. W. Luo, J. Jiang and B. X. Zhao for helpful discussions. This work is supported by the Program for National Natural Science Foundation of China (Grant Nos. 61673389, 61703428, 61703420 and 61703422).
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Wei, J., Shi, L., Han, C. et al. Probabilistic teleportation via multi-parameter measurements and partially entangled states. Quantum Inf Process 17, 82 (2018). https://doi.org/10.1007/s11128-018-1842-9
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DOI: https://doi.org/10.1007/s11128-018-1842-9