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Generating a Four-qubit Photon-Number Cluster State via Cross-Kerr Medium

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Abstract

A scheme is proposed for generating a photon-number entangled cluster state among four modes. The scheme only uses Kerr medium and homodyne measurement on probe coherent light fields, which can be efficiently made in quantum optical laboratories. The photon in the signal mode is prepared in a superposition state of the vacuum state and one-photon state while the probe beam is initially set in a intense coherent state superposition. It is shown that under certain conditions, the four-photon cluster state can be generated effectively with high success probability and homodyne detection required only once, and the scheme is feasible by current experimental technology.

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References

  1. Briegel, H.J., Raussendorf, R.: Phys. Rev. Lett. 86, 910 (2001)

    Article  ADS  Google Scholar 

  2. Borhani, M., Loss, D.: Phys. Rev. A 71, 034308 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  3. Raussendorf, R., Briegel, H.J.: Phys. Rev. Lett. 86, 5188 (2001)

    Article  ADS  Google Scholar 

  4. Dür, W., Briegel, H.J.: Phys. Rev. Lett. 92, 180403 (2004)

    Article  Google Scholar 

  5. Walther, P., Resch, K.J., Rudolph, T., et al.: Nature (London) 434, 169 (2005)

    Article  ADS  Google Scholar 

  6. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  7. Jin, G.S., Lin, Y., Wu, B.: Phys. Rev. A 75, 054302 (2007)

    Article  ADS  Google Scholar 

  8. Barrett, S.D., Kok, P., Nemoto, K., et al.: Phys. Rev. A 71, 060302 (2005)

    Article  ADS  Google Scholar 

  9. Duan, L.M., Giedke, G., Cirac, J.I., et al.: Phys. Rev. Lett. 84, 4002 (2000)

    Article  ADS  Google Scholar 

  10. Louis, S.G.R., Nemoto, K., Munro, W.J., et al.: New J. Phys. 9, 193 (2007)

    Article  ADS  Google Scholar 

  11. He, B., Nadeem, M., Bergou, J.A.A.: Phys. Rev. A 79, 035802 (2009)

    Article  ADS  Google Scholar 

  12. Munro, W.J., Nemoto, K., Spiller, T.P.: New J. Phys. 7, 137 (2005)

    Article  ADS  Google Scholar 

  13. An, N.B., Kim, J.: Phys. Rev. A 80, 042316 (2009)

    Article  ADS  Google Scholar 

  14. Bachor, H., Ralph, T.C.: A Guide to Experiments in Quantum Optics. Wiley-VCH, Weinheim (2004)

    Book  Google Scholar 

  15. Gerry, C.C., Knight, P.L.: Introductory Quantum Optics. Cambridge University Press, Cambridge (2005)

    Google Scholar 

  16. André, A., Bajcsy, M., Zibrov, A.S., et al.: Phys. Rev. Lett. 94, 063902 (2005)

    Article  ADS  Google Scholar 

  17. Bajcsy, M., Zibrov, A.S., Lukin, M.D.: Nature (London) 426, 638 (2003)

    Article  ADS  Google Scholar 

  18. Du, Q.H., Ye, M.Y., Chen, Z.H., et al.: Commun. Theor. Phys. 50, 623 (2008)

    Article  ADS  Google Scholar 

  19. Zou, X.B., Mathis, W.: Phys. Rev. A 71, 032308 (2005)

    Article  ADS  Google Scholar 

  20. Kiesel, N., Schmid, C., Weber, U., et al.: Phys. Rev. Lett. 95, 210502 (2005)

    Article  ADS  Google Scholar 

  21. Schmid, C., Kiesel, N., Wieczorek, W., et al.: New J. Phys. 9, 236 (2007)

    Article  Google Scholar 

  22. Gao, M., Hu, W.H., Li, C.Z.: J. Phys. B, At. Mol. Opt. Phys. 40, 3525 (2007)

    Article  ADS  Google Scholar 

  23. Wang, W.F., Sun, X.Y., Luo, X.B.: Chin. Phys. Lett. 25, 839 (2008)

    Article  ADS  Google Scholar 

  24. An, N.B., Phien, H.N.: Phys. Lett. A 372, 5666 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Ladd, T.D., van Loock, P., Nemoto, K., et al.: New J. Phys. 8, 184 (2006)

    Article  ADS  Google Scholar 

  26. van Loock, P., Ladd, T.D., Sanaka, K., et al.: Phys. Rev. Lett. 96, 240501 (2006)

    Article  Google Scholar 

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Correspondence to Guangyu Yuan.

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Zhu, M., Yuan, G. Generating a Four-qubit Photon-Number Cluster State via Cross-Kerr Medium. Int J Theor Phys 50, 934–938 (2011). https://doi.org/10.1007/s10773-010-0637-2

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  • DOI: https://doi.org/10.1007/s10773-010-0637-2

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