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Controlled Remote State Preparation of an Arbitrary Two-Qubit State by Using Two Sets of Four-Qubit GHZ States

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Abstract

Recently, Huang and Zhao (Int. J. Theor. Phys. 56, 678, 2017) proposed a new scheme for controlled remote state preparation of an arbitrary two-qubit state by using two sets of three-qubit GHZ states as the quantum channel. In the scheme, Alice and Bob choose four different kinds of two-qubit projective measurement bases to measure their local qubits, respectively. We demonstrate that two sets of four-qubit GHZ states can be used to realize the deterministic controlled remote state preparation of an arbitrary two-qubit state by performing only two-qubit projective measurements.

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References

  1. Yang, C.P., Chu, S.I., Han, S.: Efficient many-party controlled teleportation of multiqubit quantum information via entanglement. Phys. Rev. A 70, 022329 (2004)

    Article  ADS  Google Scholar 

  2. Zhang, Z.J.: Controlled teleportation of an arbitrary n-qubit quantum information using quantum secret sharing of classical message. Phys. Lett. A 352, 55 (2006)

    Article  ADS  MATH  Google Scholar 

  3. 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 

  4. Gao, T., Yan, F.L., Wang, Z.X.: Controlled quantum teleportation and secure direct communication. Chin. Phys. 14, 893 (2005)

    Article  ADS  Google Scholar 

  5. Bennett, C.H., Brassard, G., Crepeau, 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 

  6. Deng, F.G., Li, X.H., Li, C.Y.: Quantum state sharing of an arbitrary two-qubit state with two-photon entanglements and Bell-state measurements. Eur. Phys. J. D 39, 459 (2006)

    Article  ADS  Google Scholar 

  7. Li, Y.H., Jin, X.M.: Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environments. Quant. Inf. Proc. 15, 929 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  8. Li, Y.H., Li, X.L., Nie, L.P., Sang, M.H.: Quantum teleportation of three and four-qubit state using multi-qubit cluster states. Int. J. Theor. Phys. 55, 1820 (2016)

    Article  MATH  Google Scholar 

  9. Ekert, A.K.: Quantum cryptography based on Bells theorem. Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. Bennett, C.H., Brassard, G., Mermin, N.D.: Quantum cryptography without Bell’s theorem. Phys. Rev. Lett. Phys. Rev. A 68, 557 (1992)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. Deng, F.G., Long, G.L.: Controlled order rearrangement encryption for quantum key distribution. Phys. Rev. A 68, 042315 (2003)

    Article  ADS  Google Scholar 

  12. Deng, F.G., Long, G.L.: Bidirectional quantum key distribution protocol with practical faint laser pulses. Phys. Rev. A 70, 012311 (2004)

    Article  ADS  Google Scholar 

  13. Li, X.H., Deng, F.G., Zhou, H.Y.: Efficient quantum key distribution over a collective noise channel. Phys. Rev. A 78, 022321 (2008)

    Article  ADS  Google Scholar 

  14. Lo, H.K., Curty, M., Qi, B.: Measurement-device-independent quantum key distribution. Phys. Rev. Lett. 108, 130503 (2012)

    Article  ADS  Google Scholar 

  15. Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  16. Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 521 (2004)

    Article  Google Scholar 

  17. Deng, F.G., Zhou, H., Long, G.L.: Circular quantum secret sharing. J. Phys. A: Math. Gen. 39, 14089 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Ping, K.L.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)

    Article  ADS  Google Scholar 

  19. 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, 042317 (2003)

    Article  ADS  Google Scholar 

  20. Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69, 052319 (2004)

    Article  ADS  Google Scholar 

  21. Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Quantum secure direct communication with highdimensio quantum superdense coding. Phys. Rev. A 71, 044305 (2005)

    Article  ADS  Google Scholar 

  22. Wang, T.J., Li, T., Du, F.F., Deng, F.G.: High-capacity quantum secure direct communication based on quantum hyperdense coding with hyperentanglement. Chin. Phys. Lett. 28, 040305 (2011)

    Article  ADS  Google Scholar 

  23. Gu, B., Huang, Y.G., Fang, X., Zhang, C.Y.: A two-step quantum secure direct communication protocol with hyperentanglement. Chin. Phys. B 20, 100309 (2011)

    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, 012313 (2000)

    Article  ADS  Google Scholar 

  25. Devetak, I., Berger, T.: Low-entanglement remote state preparation. Phys. Rev. Lett. 87, 197901 (2001)

    Article  ADS  Google Scholar 

  26. Berry, D.W., Sanders, B.C.: Optimal remote state preparation. Phys. Rev. Lett. 90, 057901 (2003)

    Article  ADS  Google Scholar 

  27. Abeyesinghe, A., Hayden, P.: Generalized remote state preparation: trading cbits, qubits, and ebits in quantum communication. Phys. Rev. A 68, 062319 (2003)

    Article  ADS  Google Scholar 

  28. Zhao, H.X., Huang, L.: Effects of noise on joint remote state preparation of an arbitrary equatorial two-qubit state. Int. J. Theor. Phys. 56, 720 (2016)

    Article  MATH  Google Scholar 

  29. Kurucz, Z., Adam, P., Kis, Z., Janszky, J.: Continuous variable remote state preparation. Phys. Rev. A 72, 052315 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  31. An, N.B., Kim, J.: Joint remote state preparation. J. Phys. B: At. Mol. Opt. Phys. 41, 095501 (2008)

    Article  ADS  Google Scholar 

  32. Hou, K., Li, Y.B., Liu, G.H., Sheng, S.Q.: Joint remote state preparation of arbitrary two-qubit state via GHZ-type states. J. Phys. A: Math. Theor. 44, 255304 (2011)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  33. Chen, Q.Q., Xia, Y., An, N.B.: Flexible deterministic joint remote state preparation with a passive receiver. Phys. Scr. 87, 025005 (2013)

    Article  ADS  MATH  Google Scholar 

  34. Xia, Y., Chen, Q.Q., An, N.B.: Deterministic joint remote preparation of an arbitrary three-qubit state via Einstein CPodolsky CRosen pairs with a passive receiver. J. Phys. A: Math. Theor. 45, 335306 (2012)

    Article  MATH  Google Scholar 

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

  36. Luo, M.X., Deng, Y.: Joint remote preparation of an arbitrary 4-qubit x-state. Int. J. Theor. Phys. 51, 3027 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  37. Su, Y., Chen, X.B., Yang, Y.Y.: N-to-M joint remote state preparation of 2-level states. Int. J. Quant. Inf. 10, 1250006 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  38. Peng, J.Y., Luo, M.X., Mo, Z.W.: Joint remote state preparation of arbitrary two-particle states via GHZ-type states. Quant. Inf. Proc. 12, 2325 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  39. Chen, X.B., Ma, S.Y., Yuan, S.Y., Zhang, R., Yang, Y.X.: Controlled remote state preparation of arbitrary two and three qubit states via the Brown state. Quant. Inf. Proc. 11, 1653 (2012)

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  41. 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. Phys. 44, 075501 (2011)

    Article  ADS  Google Scholar 

  42. An, N.B.: Joint remote state preparation via W and W-type states. Opt. Commun. 283, 4113 (2010)

    Article  ADS  Google Scholar 

  43. Wei, J.H., Dai, H.Y., Zhang, M.: Two efficient schemes for probabilistic remote state preparation and the combination of both schemes. Quant. Inf. Proc. 13, 2115 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  44. Wang, C., Zeng, Z., Li, X.H.: Controlled remote state preparation via partially entangled quantum channel. Quant. Inf. Proc. 14, 1077 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  45. Zhan, Y.B., Ma, P.C.: Deterministic joint remote preparation of arbitrary two- and three-qubit entangled states. Quant. Inf. Proc. 12, 997 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  46. Luo, M.X., Chen, X.B., Ma, S.Y., Niu, X.X., Yang, Y.X.: Deterministic remote preparation of an arbitrary W-class state with multiparty. Opt. Commun. 283, 4796 (2010)

    Article  ADS  Google Scholar 

  47. Ma, S.Y., Chen, X.B., Luo, M.X., Zhang, R., Yang, Y.X.: Remote preparation of a four-particle entangled cluster-type state. Opt. Commun. 284, 4088 (2011)

    Article  ADS  Google Scholar 

  48. Huang, L., Zhao, H.X.: Controlled remote state preparation of an arbitrary two-qubit state by using GHZ states. Int. J. Theor. Phys. 56, 678 (2017)

    Article  MATH  Google Scholar 

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Acknowledgments

The work is supported by the Program for New Scientific and Technological Star of Shaanxi Province (Grant No. 2012KJXX-39).

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Correspondence to Yun-Guang Zhang.

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Zhang, YG., Dou, G. & Zha, XW. Controlled Remote State Preparation of an Arbitrary Two-Qubit State by Using Two Sets of Four-Qubit GHZ States. Int J Theor Phys 57, 506–515 (2018). https://doi.org/10.1007/s10773-017-3582-5

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  • DOI: https://doi.org/10.1007/s10773-017-3582-5

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