基于弱kerr非线性相互作用的近乎确定性可控量子隐形传态

J4 ›› 2011, Vol. 28 ›› Issue (3): 350-356.

基于弱kerr非线性相互作用的近乎确定性可控量子隐形传态

周建¹,杨名²

1 安徽新华学院，安徽合肥 230088；
2 安徽大学物理与材料科学学院，安徽合肥 230039

收稿日期:2010-12-09 修回日期:2010-12-23 出版日期:2011-05-28 发布日期:2011-05-20
通讯作者: 周建（1977-），硕士，讲师，主要从事量子通讯与量子计算方面的研究工作。 E-mail:jeanszhou@ahu.edu.cn
基金资助:
National Natural Science Foundation of China (NSFC) under Grants No. 10704001 and No. 61073048, the Key Project of Chinese Ministry of Education.(No.210092), the Key Program of the Education Department of Anhui Province under Grants No. KJ2009B179Z, No. 2009SQRZ196 No. KJ2008A28ZC, No. KJ2009A048Z, No. 2010SQRL153ZD, and No. KJ2010A287

Nearly deterministic controlled teleportation for photonic qubit via weak cross-Kerr nonlinearity

ZHOU Jian¹,YANG Ming²

1 Anhui Xinhua University, Hefei 230088, China;
2 School of Physics and Material Science, Anhui University, Hefei 230039, China

Received:2010-12-09 Revised:2010-12-23 Published:2011-05-28 Online:2011-05-20

摘要/Abstract

摘要：

基于cross-Kerr非线性相互作用，我们提出了一种近似确定性的可控量子隐形传态方案。利用量子非破坏性测量技术较容易地实现了复杂的控制非操作和贝尔态分析过程，这使得此方案比以往使用投影测量的隐形传态方案效率更高，进一步的分析表明方案在现有的实验条件下是切实可行的。

关键词: 量子光学, 可控量子隐形传态, Cross-Kerr非线性相互作用, 近似确定性的

Abstract:

A scheme for teleporting an unknown single-qubit photonic state in a nearly deterministic and controlled manner is proposed via the weak cross-Kerr nonlinearities. The functions of the complicated CNOT operations and Bell-state analysis can be realized easily with the help of quantum nondemolition measurement technique. This improvement makes the present scheme more efficient than the schemes using nonunitary projective measurements. Discussions about this scheme show that it is feasible with the current experimental technology in optics.

Key words: quantum optics, controlled teleportation, cross-kerr nonlinearity, nearly determinacy

中图分类号:

O431.2

周建杨名. 基于弱kerr非线性相互作用的近乎确定性可控量子隐形传态[J]. J4, 2011, 28(3): 350-356.

ZHOU Jian,YANG Ming. Nearly deterministic controlled teleportation for photonic qubit via weak cross-Kerr nonlinearity[J]. J4, 2011, 28(3): 350-356.

参考文献

[1] M. A. Nielsen and I. L. Chuang, Quantum Computationand Quantum Information, Cambridge University Press, Cambridge, 2000.
[2] C. H. Bennett, G. Brassard, C. Cr′epeau, R. Jozsa, A. Peres and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
[3] C. H. Bennett, and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992).
[4] A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
[5] D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter,and A. Zeilinger, Nature 390, 575 (1997);
[6] Y.-F. Huang, X.-F. Ren, Y.-S. Zhang, L.-M. Duan, and G.-C. Guo, Phys. Rev. Lett. 93, 240501 (2004); G.-Y. Xiang, J. Li, and G.-C. Guo, Phys. Rev. A 71, 044304 (2005).
[7] F. Ciccarello, S. Bose, and M. Zarcone, Phys. Rev. A 81, 042318 (2010); S.-W. Shi, Y.-M. Yi, Chinese Journal of Quantum Electronics 26 (3): 301-305 (2009); G.-L, Ma, X.-W. Zha, Chinese Journal of Quantum Electronics 27 (3): 308-313 (2010);
[8] F.-G. Deng, C.-Y. Li, Y.-S. Li, H.-Y. Zhou, and Y. Wang, Phys. Rev. A 72, 022338 (2005).
[9] Zhong-Xiao Man, Yun-Jie Xia, and Nguyen Ba An Phys. Rev. A 75, 052306 (2007).
[10] D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, Phys. Rev. Lett. 80, 1121 (1998).
[11] J.-W. Pan, D. Bouwmeester, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 80, 3891 (1998).
[12] M. O. Scully and M. S. Zubairy, Quantum optics, Cambridge University Press, New York, (1997).
[13] J.-H. Chai, G.-C.Guo, Chinese Physics Letters 14(7):524-527 (1997).
[14] K. Nemoto, and W. J. Munro, Phys. Rev. Lett., 93, 250502 (2004).
[15] S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, Phys. Rev. A 71 (2005) 060302(R).
[16] C. Schuck, G. Huber, C. Kurtsiefer, H. Weinfurter, Phys. Rev. Lett., 96, 190501 (2006).
[17] J. Fiurˇsek, L. Miˇsta, Jr., and R. Filip, Phys. Rev. A 67, 022304 (2003).
[18] W. J. Munro, Kae Nemoto, R. G. Beausoleil, and T. P. Spiller, Phys. Rev. A 71, 033819 (2005).
[19] H. Jeong, M. S. Kim, T. C. Ralph, and B. S. Ham, Phys. Rev. A 70, 061801(R) (2004); H. Jeong, Phys. Rev. A 72, 034305 (2005).
[20] Y.-B. Sheng, F.-G. Deng, and H.-Y. Zhou, Phys. Rev. A 77, 042308 (2008).
[21] Y.-B. Sheng, F.-G. Deng, and H.-Y. Zhou, Phys. Rev. A 77, 062325 (2008).
[22] L. Mi_sta, Jr. and R. Filip, Phys. Rev. A 71, 032342 (2005).
[23] K. Nemoto, and W. J. Munro, Phys. Rev. Lett. 93 (2004) 250502.
[24] R. W. Boyd, J. Mod. Opt. 46 (1999) 367.
[25] P. Kok, H. Lee, and J. P. Dowling, Phys. Rev. A 66 (2002) 063814.
[26] X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94 (2005) 053601.
[27] S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82 (1999) 4611; D. A. Braje, V. Bali′c, G. Y. Yin, and S. E. Harris, Phys. Rev. A 68, 041801(R) (2003).
[28] P. Grangier, J. A. Levenson, and J. P. Poizat, Nature (London) 369 (1998) 537; Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, Phys. Rev. Lett. 75, 4710 (1995).
[29] H. Jeong, Phys. Rev. A 73 (2006) 052320.
[30] S. D. Barrett and G. J. Milburn, Phys. Rev. A 74 (2006) 060302(R).
[31] L. Childress, J. M. Taylor, A. S. Sorensen, and M. D. Lukin, Phys. Rev. Lett. 96, 070504 (2006).
[32] C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J.A. Smolin, W.K. Wootters, Phys. Rev. Lett. 76 (1996) 722; D. Salart, O. Landry, N. Sangouard, N. Gisin, H. Herrmann, B. Sanguinetti, C. Simon, W. Sohler, R. T. Thew, A. Thomas, and H. Zbinden, Phys. Rev. Lett. 104, 180504 (2010)