Skip to main content
SpringerLink
Log in

Controlled Remote Preparation of a Two-Qubit State via Positive Operator-Valued Measure and Two Three-Qubit Entanglements

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

Abstract

Utilizing a proper positive operator-valued measure (POVM) instead of usual projective measurement, we present a new scheme for remote preparation of a general two-qubit state in either distant ministrant’s place. In the scheme, we exploit a GHZ-type state and a W-type state as the shared quantum channel, and the remote two-qubit preparation can be realized in a probabilistic manner via two ministrants’ collaboration. Furthermore, we also explore the scheme’s applications to some special ensembles of states in detail. The success probabilities in different cases are calculated, respectively, which show that the remote preparation can be achieved with higher probability provided that the prepared state belongs to the special ensembles.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  2. Lo, H.K.: Phys. Rev. A 62, 012313 (2000)

    Article  ADS  Google Scholar 

  3. Pati, A.K.: Phys. Rev. A 63, 014302 (2001)

    Article  ADS  Google Scholar 

  4. Bennett, C.H., et al.: Phys. Rev. Lett. 87, 077902 (2001)

    Article  ADS  Google Scholar 

  5. Devetak, I., Berger, T.: Phys. Rev. Lett. 87, 177901 (2001)

    Article  ADS  Google Scholar 

  6. Zeng, B., Zhang, P.: Phys. Rev. A 65, 022316 (2002)

    Article  ADS  Google Scholar 

  7. Berry, D.W., Sanders, B.C.: Phys. Rev. Lett. 90, 027901 (2003)

    Article  ADS  Google Scholar 

  8. Kurucz, Z., Adam, P., Janszky, J.: Phys. Rev. A 73, 062301 (2006)

    Article  ADS  Google Scholar 

  9. Hayashi, A., Hashimoto, T., Horibe, M.: Phys. Rev. A 67, 052302 (2003)

    Article  ADS  Google Scholar 

  10. Abeyesinghe, A., Hayden, P.: Phys. Rev. A 68, 062319 (2003)

    Article  ADS  Google Scholar 

  11. Ye, M.Y., Zhang, Y.S., Guo, G.C.: Phys. Rev. A 69, 022310 (2004)

    Article  ADS  Google Scholar 

  12. Yu, Y.F., Feng, J., Zhan, M.S.: Phys. Lett. A 310, 329 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  13. Huang, Y.X., Zhan, M.S.: Phys. Lett. A 327, 404 (2004)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. Paris, M.G.A., Cola, M., Bonifacio, R.: J. Opt. B 5, S360 (2003)

    Article  ADS  Google Scholar 

  15. Kurucz, Z., Adam, P., Kis, Z., Janszky, J.: Phys. Rev. A 72, 052315 (2005)

    Article  ADS  Google Scholar 

  16. Babichev, S.A., Brezger, B., Lvovsky, A.I.: Phys. Rev. Lett. 92, 047903 (2004)

    Article  ADS  Google Scholar 

  17. Gour, G., Sanders, B.C.: Phys. Rev. Lett. 93, 260501 (2004)

    Article  ADS  Google Scholar 

  18. Berry, D.W.: Phys. Rev. A 70, 062306 (2004)

    Article  ADS  Google Scholar 

  19. Bennett, C.H., Hayden, P., Leung, D.W., Shor, P.W., Winter, A.: IEEE Trans. Inf. Theory 51, 56 (2005)

    Article  MathSciNet  Google Scholar 

  20. Peng, X.H., Zhu, X., Fang, X., Feng, M., Liu, M., Gao, K.: Phys. Lett. A 306, 271 (2003)

    Article  ADS  Google Scholar 

  21. Xiang, G.Y., Li, J., Bo, Y., Guo, G.C.: Phys. Rev. A 72, 012315 (2005)

    Article  ADS  Google Scholar 

  22. Peters, N.A., Barreiro, J.T., Goggin, M.E., Wei, T.C., Kwiat, P.G.: Phys. Rev. Lett. 94, 150502 (2005)

    Article  ADS  Google Scholar 

  23. Shi, B.S., Tomita, A.: J. Opt. B 4, 380 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  24. Liu, J.M., Wang, Y.Z.: Phys. Lett. A 316, 159 (2003)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  25. Liu, J.M., et al.: Europhys. Lett. 87, 30006 (2009)

    Article  ADS  Google Scholar 

  26. Liu, J.M., et al.: J. Phys. B 42, 055508 (2009)

    Article  ADS  Google Scholar 

  27. Xiao, X.Q., et al.: Int. J. Theor. Phys. 46, 2378 (2007)

    Article  MATH  Google Scholar 

  28. Yu, C.S., Song, H.S., Wang, Y.H.: Phys. Rev. A 73, 022340 (2006)

    Article  ADS  Google Scholar 

  29. Dai, H.Y., Chen, P.X., Liang, L.M., Li, C.Z.: Phys. Lett. A 355, 285 (2006)

    Article  ADS  Google Scholar 

  30. Dai, H.Y., et al.: Commun. Theor. Phys. 50, 73 (2008)

    Article  ADS  Google Scholar 

  31. Dai, H.Y., et al.: Chin. Phys. B 17, 28 (2008)

    ADS  Google Scholar 

  32. Zhan, Y.B.: Commun. Theor. Phys. 43, 637 (2005)

    Article  Google Scholar 

  33. Ma, P.C., Zhan, Y.B.: Chin. Phys. 17, 445 (2008)

    Article  Google Scholar 

  34. Ma, P.C., Zhan, Y.B.: Opt. Commun. 283, 2640 (2010)

    Article  ADS  Google Scholar 

  35. Zhang, Y.Q., Jin, X.R., Zhang, S.: Chin. Phys. B 14, 1732 (2005)

    Article  ADS  Google Scholar 

  36. Xia, Y., et al.: J. Phys. B, At. Mol. Opt. Phys. 40, 3719 (2007)

    Article  ADS  Google Scholar 

  37. Xia, Y., et al.: Opt. Commun. 277, 219 (2007)

    Article  ADS  Google Scholar 

  38. Wang, Y.H., Song, H.S.: Opt. Commun. 281, 489 (2008)

    Article  ADS  Google Scholar 

  39. Wang, Z.Y.: Int. J. Quant. Inform. Accepted, in press

  40. Wang, Z.Y.: Int. J. Theor. Phys. 49, 1357 (2010)

    Article  MATH  Google Scholar 

  41. Wang, Z.Y., et al.: Commun. Theor. Phys. 52, 235 (2009)

    Article  ADS  MATH  Google Scholar 

  42. Liu, Y.M., Wang, Z.Y., Liu, X.S., Zhang, Z.J.: Int. J. Quantum Inf. 7, 991 (2009)

    Article  MATH  Google Scholar 

  43. Wang, D., et al.: Opt. Commun. 281, 871 (2008)

    Article  ADS  Google Scholar 

  44. Shi, G.F.: Mod. Phys. Lett. B 24, 995 (2010)

    Article  ADS  MATH  Google Scholar 

  45. Yan, F.L., Zhang, G.H.: Int. J. Quantum Inf. 6, 485 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  46. Wang, M.Y., Yan, F.L.: Commun. Theor. Phys. 54, 792 (2010)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  47. Hou, K., et al.: Int. J. Quantum Inf. 6, 1183 (2008)

    Article  MATH  Google Scholar 

  48. Deng, L., Chen, A.X., Xu, Y.Q.: Chin. Phys. B 17, 3725 (2008)

    Article  ADS  Google Scholar 

  49. Ba An, N., Kim, J.: J. Phys. B 41, 095501 (2008)

    Article  ADS  Google Scholar 

  50. Ba An, N.: J. Phys. B 42, 125501 (2009)

    Article  ADS  Google Scholar 

  51. Ba An, N.: Opt. Commun. 2(83), 4113 (2010)

    Article  ADS  Google Scholar 

  52. An, N.Ba., Kim, J.: Int. J. Quantum Inf. 6, 1051 (2008)

    Article  MATH  Google Scholar 

  53. Luo, M.X., Chen, X.B., Ma, S.Y., Yang, Y.X., Hu, Z.M.: J. Phys. B 43, 065501 (2010)

    Article  ADS  Google Scholar 

  54. Luo, M.X., et al.: Int. J. Theor. Phys. 49, 1262 (2010)

    Article  MATH  Google Scholar 

  55. Mei, Y.X., Chen, L., Chen, Y.X.: Chin. Phys. Lett. 23, 548 (2006)

    Article  ADS  Google Scholar 

  56. Tan, J., Fang, M.F.: Chin. Phys. B 15, 2514 (2006)

    Article  Google Scholar 

  57. Li, W.L., Li, C.F., Guo, G.C.: Phys. Rev. A 61, 034301 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  58. Helstrom, C.W.: Quantum Dectection and Estimation Theory. Academic Press, New York (1976)

    Google Scholar 

  59. Mar, T., Horodecki, P.: quant-ph/9906039

  60. Yan, F.L., Ding, H.W.: Chin. Phys. Lett. 23, 17 (2006)

    Article  ADS  Google Scholar 

  61. Wang, Z.Y., et al.: Commun. Theor. Phys. 46, 859 (2006)

    Article  Google Scholar 

  62. Bouwmeester, D., Pan, J.W., Daniell, M., Weinfurter, H., Zeilinger, A.: Phys. Rev. Lett. 82, 1345 (1999)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  63. Solano, E., Agarwal, D.S., Walther, H.: Phys. Rev. Lett. 90, 027903 (2003)

    Article  ADS  Google Scholar 

  64. Sackett, C.A., Kielpinski, D., King, B.E., et al.: Nature 404, 256 (2000)

    Article  ADS  Google Scholar 

  65. Guo, G.P., Li, C.F., Li, J., Guo, G.C.: Phys. Rev. A 65, 042102 (2002)

    Article  ADS  Google Scholar 

  66. Zou, X.B., Pahlke, K., Mathis, W.: Phys. Rev. A 66, 044302 (2001)

    Article  ADS  Google Scholar 

  67. Zheng, S.B.: Phys. Rev. A 70, 045804 (2004)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Physics & Electronic Engineering, Nanyang Normal University, Nanyang Henan, 473061, China

    Jin-Fan Song

  2. Key Laboratory of Optoelectronic Information Acquisition & Manipulation of Ministry of Education of China, School of Physics & Material Science, Anhui University, Hefei, 230039, China

    Zhang-Yin Wang

Authors
  1. Jin-Fan Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhang-Yin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Jin-Fan Song or Zhang-Yin Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Song, JF., Wang, ZY. Controlled Remote Preparation of a Two-Qubit State via Positive Operator-Valued Measure and Two Three-Qubit Entanglements. Int J Theor Phys 50, 2410–2425 (2011). https://doi.org/10.1007/s10773-011-0730-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0730-1

Keywords

Search

Navigation