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Symmetric Remote Single-Qubit State Preparation via Positive Operator-Valued Measurement

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Abstract

I present a tripartite scheme for realizing remote single-qubit state preparation in either distant ministrant’s place. In this scheme, to fulfill the remote preparation, the preparer performs a two-qubit projective measurement in a properly chosen bases. Then after the two ministrants’ collaboration, one of them successfully realizes the remote single-qubit state preparation in a probabilistic manner by executing a proper positive operator-valued measurement (POVM). The success probability and classical communication cost in the scheme are also calculated. Furthermore, I also explore its applications to two special ensembles of states in detail. The extensive investigations show that the remote preparation can be achieved with higher probability provided that the prepared state belongs to the two special ensembles. Finally, I sketch the generalization of the tripartite scheme to a multiparty case.

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References

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

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. Hillery, M., Bǔzek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. Deng, F.G., Zhou, H.Y., Long, G.L.: J. Phys. A, Math. Gen. 39, 14089 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.J.: Phys. Rev. A 72, 044302 (2005)

    Article  ADS  Google Scholar 

  9. Deng, F.G., et al.: Phys. Rev. A 72, 044301 (2005)

    Article  ADS  Google Scholar 

  10. Yang, W.X., Gong, Z.X., Li, W.B., Yang, X.X.: J. Phys. A, Math. Gen. 40, 155 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. Yang, W.X., et al.: Phys. Rev. A 72, 062108 (2005)

    Article  ADS  Google Scholar 

  12. Gao, T., Yan, F.L., Wang, Z.X.: J. Phys. A, Math. Gen. 38, 5761 (2005)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  13. Yan, F.L., Gao, T.: Phys. Rev. A 72, 012304 (2005)

    Article  ADS  Google Scholar 

  14. Zhang, Z.J., Man, Z.X.: Phys. Rev. A 72, 022303 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  15. Yuan, H., et al.: J. Phys. B 41, 145506 (2008)

    Article  ADS  Google Scholar 

  16. Zhang, Z.J., Cheung, C.Y.: J. Phys. B 41, 015503 (2008)

    Article  ADS  Google Scholar 

  17. Wang, Z.Y., et al.: Eur. Phys. J. D 41, 371 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  18. Wang, Z.Y., et al.: Opt. Commun. 276, 322 (2007)

    Article  ADS  Google Scholar 

  19. Wang, Z.Y., et al.: Phys. A 374, 103 (2007)

    Article  Google Scholar 

  20. Man, Z.X., Xia, Y.J., An, N.B.: Eur. Phys. J. D 42, 333 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  21. An, N.B.: Phys. Rev. A 68, 022321 (2003)

    Article  ADS  Google Scholar 

  22. An, N.B., Mahler, G.: Phys. Lett. A 365, 70 (2007)

    Article  ADS  Google Scholar 

  23. Yang, C.P., et al.: Phys. Rev. A 70, 022329 (2004)

    Article  ADS  Google Scholar 

  24. Yu, Y.F., Feng, J., Zhan, M.S.: Phys. Rev. A 66, 052310 (2002)

    Article  ADS  Google Scholar 

  25. Yu, Y.F., et al.: Phys. Rev. A 68, 024303 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  35. Yu, Y.F., Feng, J., Zhan, M.S.: Phys. Lett. A 310, 319 (2003)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. 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 

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

    Article  MATH  ADS  Google Scholar 

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

    MathSciNet  ADS  Google Scholar 

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

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  46. Xia, Y., Song, J., Song, H.S.: J. Phys. B 40, 3719 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  48. An, N.B., Kim, J.: Int. J. Quant. Inf. 6, 1051 (2008)

    Article  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Google Scholar 

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

  52. Gu, Y.J.: Opt. Commun. 259, 385 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  55. Liu, Y.M., Wang, Z.Y., Liu, X.S., Zhang, Z.J.: Int. J. Quant. Inform. 7, 991 (2009)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. 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

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  1. Zhang-Yin Wang
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Correspondence to Zhang-Yin Wang.

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Wang, ZY. Symmetric Remote Single-Qubit State Preparation via Positive Operator-Valued Measurement. Int J Theor Phys 49, 1357–1369 (2010). https://doi.org/10.1007/s10773-010-0316-3

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  • DOI: https://doi.org/10.1007/s10773-010-0316-3

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