Skip to main content
Log in

Deterministic Joint Remote Preparation of Arbitrary Four-Qubit Cluster-Type State Using EPR Pairs

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Using four Einstein-Podolsky-Rosen (EPR) pairs as the pre-shared quantum channel, an economic and feasible scheme for deterministic joint remote preparation of the four-particle cluster-type state is presented. In the scheme, one of the senders performs a four-qubit projective measurement based on a set of ingeniously constructed vectors with real coefficients, while the other performs the bipartite projective measurements in terms of the imaginary coefficients. Followed with some appropriate unitary operations and controlled-NOT operations, the receiver can reconstruct the desired state. Compared with other analogous JRSP schemes, our scheme can not only reconstruct the original state (to be prepared remotely) with unit successful probability, but also ensure greater efficiency.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Bennett, C.H., Brassard, G.: Quantum cryptography: Public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India, 10-12 December 1984, pp. 175–179. IEEE Press, New York (1984)

  2. Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68(21), 3121–3124 (1992)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. Cleve, R., Gottesman, D., Lo, H.K.: How to share a quantum secret. Phys. Rev. Lett. 83(3), 648–651 (1999)

    Article  ADS  Google Scholar 

  4. Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59(3), 1829–1834 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  5. Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phys. Rev. A 68(4), 042315 (2003)

    Article  ADS  Google Scholar 

  6. Liu, W.J., Chen, H.W., Ma, T.H., Li, Z.Q., Liu, Z.H., Hu, W.B.: An efficient deterministic secure quantum communication scheme based on cluster states and identity authentication. Chin. Phys. B 18(10), 4105–4109 (2009)

    Article  ADS  Google Scholar 

  7. Liu, W.J., Liu, C., Liu, Z.H., Liu, J.F., Geng, H.T.: Same initial states attack in Yang et al.’s quantum private comparison protocol and the improvement. Int. J. Theor. Phys. 53(1), 271–276 (2014)

    Article  MATH  Google Scholar 

  8. Huang, W., Wen, Q.Y., Liu, B., Gao, F., Sun, Y.: Robust and efficient quantum private comparison of equality with collective detection over collective-noise channels. Sci. China. Phys. Mech. 56(9), 1670–1678 (2013)

    Article  Google Scholar 

  9. Liu, W.J., Liu, C., Chen, H.W., Li, Z.Q., Liu, Z.H.: Cryptanalysis and improvement of quantum private comparison protocol based on Bell entangled states. Commun. Theor. Phys. 62(2), 210 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. Liu, W.J., Liu, C., Wang, H.B., Liu, J.F., Wang, F., Yuan, X.M.: Secure quantum private comparison of equality based on asymmetric W state. Int. J. Theor. Phys. 53(6), 1804–1813 (2014)

    Article  MATH  Google Scholar 

  11. Naseri, M.: Secure quantum sealed-bid auction. Opt. Commun. 282(9), 1939–1943 (2009)

    Article  ADS  Google Scholar 

  12. Liu, W.J., Wang, F., Ji, S., Qu, Z.G., Wang, X.J.: Attacks and improvement of quantum sealed-bid auction with EPR pairs. Commun. Theor. Phys. 61(6), 686 (2014)

    Article  ADS  Google Scholar 

  13. Liu, W.J., Wang, H.B., Yuan, G.L., Xu, Y., Chen, Z.Y., An, X.X., Ji, F.G., GNITOU, G.: Multiparty quantum sealed-bid auction using single photons as message carrier. Quantum Inf. Process 15(2), 869–879 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. Xia, Z., Wang, X., Sun, X., Wang, Q.: A secure and dynamic multi-keyword ranked search scheme over encrypted cloud data. IEEE Trans. Parall. Distr. 27(2), 340–352 (2015)

    Article  Google Scholar 

  15. Fu, Z., Ren, K., Shu, J., Sun, X., Huang, F.: Enabling personalized search over encrypted outsourced data with efficiency improvement. IEEE Trans. Parall Distr. (2015). doi:10.1109/TPDS.2015.2506573

  16. Fu, Z., Wu, X., Guan, C., Sun, X., Ren, K.: Towards efficient multi-keyword fuzzy search over encrypted outsourced data with accuracy improvement. IEEE Trans. Inf. Forensics Secur. (2016). doi:10.1109/TIFS.2016.2596138

  17. Li, J., Li, X., Yang, B., Sun, X.: Segmentation-based image copy-move forgery detection scheme. IEEE Trans. Inf. Forensics Secur. 10(3), 507–518 (2015)

    Article  Google Scholar 

  18. Zhou, Z., Wang, Y., Wu, Q.M., Yang, C.N., Sun, X.: Effective and efficient global context verification for image copy detection. IEEE Trans. Inf. Forensics Secur. (2016). doi:10.1109/TIFS.2016.2601065

  19. Xia, Z., Wang, X., Zhang, L., Qin, Z., Sun, X., Ren, K.: A privacy-preserving and copy-deterrence content-based image retrieval scheme in cloud computing. IEEE Trans. Inf. Forensics Secur. (2016). doi:10.1109/TIFS.2016.2590944

  20. Pan, Z., Zhang, Y., Kwong, S.: Efficient motion and disparity estimation optimization for low complexity multiview video coding. IEEE Trans. Broadcast. 61 (2), 166–176 (2015)

    Article  Google Scholar 

  21. Pan, Z., Lei, J., Zhang, Y., Sun, X., Kwong, S.: Fast motion estimation based on content property for low-complexity H.265/HEVC encoder. IEEE Trans. Broadcast. (2016). doi:10.1109/TBC.2016.2580920

  22. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70(13), 1895–1899 (1993)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390(6660), 575–579 (1997)

    Article  ADS  Google Scholar 

  24. Lo, H.K.: Classical-communication cost in distributed quantum information processing: A generalization of quantum communication complexity. Phys. Rev. A 62 (1), 012313 (2000)

    Article  ADS  Google Scholar 

  25. 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(7), 077902 (2001)

    Article  ADS  Google Scholar 

  26. Wang, D., Liu, Y.M., Zhang, Z.J.: Remote preparation of a class of three-qubit states. Opt. Commun. 281(4), 871–875 (2008)

    Article  ADS  Google Scholar 

  27. Xia, Y., Song, J., Song, H.S.: Multiparty remote state preparation. J. Phys. B-At. Mol. Opt. 40(18), 3719–3724 (2007)

    Article  ADS  Google Scholar 

  28. Liu, W.J., Chen, Z.F., Liu, C., Zheng, Y.: Improved deterministic N-to-one joint remote preparation of an arbitrary qubit via EPR pairs. Int. J. Theor. Phys. 54 (2), 472–483 (2015)

    Article  MATH  Google Scholar 

  29. An, N.B.: Joint remote preparation of a general two-qubit state. J. Phys. B-At. Mol. Opt. 42(12), 125501 (2009)

    Article  ADS  Google Scholar 

  30. Wang, D., Zha, X.W., Lan, Q.: Joint remote state preparation of arbitrary two-qubit state with six-qubit state. Opt. Commun. 284(24), 5853–5855 (2011)

    Article  ADS  Google Scholar 

  31. Luo, M.X., Chen, X.B., Ma, S.Y., Niu, X.X., Yang, Y.X.: Joint remote preparation of an arbitrary three-qubit state. Opt. Commun. 283(23), 4796–4801 (2010)

    Article  ADS  Google Scholar 

  32. Xiao, X.Q., Liu, J.M., Zeng, G.: Joint remote state preparation of arbitrary two-and three-qubit states. J. Phys. B-At. Mol. Opt. 44(7), 075501 (2011)

    Article  ADS  Google Scholar 

  33. Zhan, Y.B., Hu, B.L., Ma, P.C.: Joint remote preparation of four-qubit cluster-type states. J. Phys. B-At. Mol. Opt. 44(9), 095501 (2011)

    Article  ADS  Google Scholar 

  34. An, N.B., Bich, C.T., Van, D.N.: Joint remote preparation of four-qubit cluster-type states revisited. J. Phys. B-At. Mol. Opt. 44(13), 135506 (2011)

  35. Wang, D., Ye, L.: Probabilistic joint remote preparation of four-qubit cluster-type states with quaternate partially entangled channels. Int. J. Theor. Phys. 51(11), 3376–3386 (2012)

    Article  ADS  MATH  Google Scholar 

  36. Wang, D., Ye, L.: Joint remote preparation of a class of four-qubit cluster-like states with tripartite entanglements and positive operator-valued measurements. Int. J. Theor. Phys. 52(9), 3075–3085 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  37. Hou, K.: Joint remote preparation of four-qubit cluster-type states with multiparty. Quantum Inf. Process 12(12), 3821–3833 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  38. Wang, H.B., Zhou, X.Y., An, X.X., Cui, M.-M., Fu, D.S.: Deterministic joint remote preparation of a four-qubit cluster-type state via GHZ states. Int. J. Theor. Phys. 55(8), 3588–3596 (2016)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

This work is supported by the Fundamental Research Funds for the Central Universities (Grant No. LGYB201504), National Natural Science Foundation of China (Grant No. 61170321,61502101), Natural Science Foundation of Jiangsu Province, China (Grant No. BK20140651), and PAPD and CICAEET.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hanwu Chen.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, W., Chen, H. & Liu, Z. Deterministic Joint Remote Preparation of Arbitrary Four-Qubit Cluster-Type State Using EPR Pairs. Int J Theor Phys 56, 351–361 (2017). https://doi.org/10.1007/s10773-016-3174-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-3174-9

Keywords

Navigation