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Probabilistic teleportation via multi-parameter measurements and partially entangled states

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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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References

  1. 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)

    Article  Google Scholar 

  2. Vedral, V.: Quantum entanglement. Nat. Phys. 10, 256 (2014)

    Article  MATH  Google Scholar 

  3. Borges, H.S., Sanz, L., Alcalde, A.M.: Excitonic entanglement of protected states in quantum dot molecules. Phys. Lett. A 380, 3111 (2016)

    Article  ADS  Google Scholar 

  4. 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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfuter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575 (1997)

    Article  ADS  MATH  Google Scholar 

  6. 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)

    Article  ADS  Google Scholar 

  7. 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)

    Article  ADS  MathSciNet  Google Scholar 

  8. 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)

    Article  ADS  MathSciNet  Google Scholar 

  9. Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)

    Article  ADS  Google Scholar 

  10. 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)

    Article  ADS  Google Scholar 

  11. 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)

    Article  ADS  Google Scholar 

  12. 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)

    Article  ADS  Google Scholar 

  13. 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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. 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)

    Article  MathSciNet  MATH  Google Scholar 

  15. 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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  16. Bennett, C.H., Wootters, W.K.: Communication via one-and two-particle operators on Einstein–Podolsky–Rosen state. Phys. Rev. Lett. 69, 2881 (1992)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. 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)

    Article  ADS  Google Scholar 

  18. Zhang, D., Zha, X.W., Zhou, H.Y., Duan, Y.J.: Bidirectional and asymmetric quantum controlled teleportation. Int. J. Theor. Phys. 54, 1711 (2015)

    Article  MATH  Google Scholar 

  19. Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  20. Li, W.L., Li, C.F., Guo, G.C.: Probabilistic teleportation and entanglement matching. Phys. Rev. A 61, 034301 (2000)

    Article  ADS  Google Scholar 

  21. Wei, J.H., Dai, H.Y., Zhang, M.: A new scheme for probabilistic teleportation and its potential applications. Commun. Theor. Phys. 60, 651 (2013)

    Article  ADS  MATH  Google Scholar 

  22. 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)

    Article  ADS  Google Scholar 

  23. Jiang, M., Dong, D.Y.: Multi-party quantum state sharing via various probabilistic channels. Quantum Inf. Process. 12, 237 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. Zhao, M.J., Chen, B., Fei, S.M.: Detection of the ideal resource for multiqubit teleportation. Chin. Phys. B 24, 070302 (2015)

    Article  ADS  Google Scholar 

  25. 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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  26. Zheng, S.B., Guo, G.C.: Teleportation of atomic states within cavities in thermal states. Phys. Rev. A 63, 044302 (2001)

    Article  ADS  Google Scholar 

  27. Fu, C.H., Hu, Z.N.: Quantum teleportation via completely anisotropic Heisenberg chain in inhomogeneous magnetic field. Commun. Theor. Phys. 59, 398 (2013)

    Article  ADS  MATH  Google Scholar 

  28. 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)

    Article  ADS  Google Scholar 

  29. Oh, S., Lee, S.W., Lee, J., Lee, H.W.: Fidelity of quantum teleportation through noisy channels. Phys. Rev. A 66, 022316 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  30. Cheong, Y.W., Lee, S.W., Lee, J., Lee, H.W.: Entanglement purification for high-dimensional multipartite systems. Phys. Rev. A 76, 042314 (2007)

    Article  ADS  Google Scholar 

  31. 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)

    Article  ADS  Google Scholar 

  32. 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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  33. Li, Y.M., Jin, X.M.: Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environmentss. Quantum Inf. Process. 15, 929 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  34. 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)

    Article  MathSciNet  MATH  Google Scholar 

  35. 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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

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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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Authors and Affiliations

  1. Information and Navigation College, Air Force Engineering University, Xi’an, 710076, Shanxi, People’s Republic of China

    Jiahua Wei, Lei Shi, Zhiyan Xu, Yu Zhu, Gang Wang & Hao Wu

  2. Department of Automatic Control, College of Mechatronics and Automation, National University of Defense Technology, Changsha, 410073, Hunan, People’s Republic of China

    Jiahua Wei

  3. Department of Carrier-based Aircraft of Naval Aviation Academy, Huludao, 125001, Liaoning, People’s Republic of China

    Chen Han

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  1. Jiahua Wei
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  2. Lei Shi
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  3. Chen Han
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  4. Zhiyan Xu
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  5. Yu Zhu
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  6. Gang Wang
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  7. Hao Wu
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Correspondence to Jiahua Wei or Lei Shi.

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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

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