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Generating χ-Type Four-Qubit Entangled States in Superconducting Transmon Qubit System

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Abstract

We propose a scheme to generate χ-type four-qubit entangled states by using superconducting transmon qubits (STQs) capacitively coupled to a superconducting transmission line resonator (TLR). The coupling between the STQs and the TLR can be effectively controlled by properly adjusting the control parameters of the STQs. The experimental feasibility of our scheme is also discussed.

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References

  1. Beth, T., Leuchs, G., Wiley, J.: Quantum Information Processing. Wiley Online Library (2005)

  2. Zdotukowski, M., Zeilinger, A., Horne, M.A., Ekert, A.K.: Phys. Rev. Lett. 71, 4287 (1993)

    Article  ADS  Google Scholar 

  3. Wang, M.Y., Yan, F.L.: Chin. Phys. Lett. 28, 060301 (2011)

    Article  ADS  Google Scholar 

  4. Schaetz, T., et al.: Phys. Rev. Lett. 93, 040505 (2004)

    Article  ADS  Google Scholar 

  5. Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. Greenberger, D.M., Horne, M.A., Zeilinger, A.: Bell’s Theorem, Quantum Theory, Concept- ions of the Universe. In: Kafatos, M. (ed.) (The Netherlands: Kluwer Academic), pp 69–72 (1989)

  7. Dür, W., Vidal, G., Cirac, I. J.: Phys. Rev. A 62, 062314 (2000)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. Jiang, N.Q., Zheng, Y.Z.: Phys. Rev. A 74, 012306 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  10. Jiang, N.Q., Jing, B.Q., Zhang, Y., Cai, G.C.: Europhys. Lett. 84, 14002 (2008)

    Article  ADS  Google Scholar 

  11. Zheng, S.B.: Phys. Rev. Lett. 87, 230404 (2001)

    Article  ADS  Google Scholar 

  12. Li, G.X.: Phys. Rev. A 74, 055801 (2006)

    Article  ADS  Google Scholar 

  13. Gerry, C.C., Campos, R.A.: Phys. Rev. A 68, 025602 (2003)

    Article  ADS  Google Scholar 

  14. Yeo, Y., Chua, W.K.: Phys. Rev. Lett. 96, 060502 (2006)

    Article  ADS  Google Scholar 

  15. Xue, L., Wu, L., Cai, G.C., Jiang, N.Q.: Int. J. Quantum Inf. 9, 875 (2011)

    Article  MATH  Google Scholar 

  16. Lin, S., Wen, Q, Gao, Y.F., Zhu, F.C.: Phys. Rev. A 78, 064304 (2008)

    Article  ADS  Google Scholar 

  17. Xiu, X.M., Dong, L., Gao, Y.J., Chi, F.: Commun. Theor. Phys. 52, 60 (2009)

    Article  ADS  MATH  Google Scholar 

  18. Xiu, X.M., Dong, H.K., Dong, L., Gao, Y.J., Chi, F.: Opt. Commun. 282, 2457 (2009)

    Article  ADS  Google Scholar 

  19. Xiu, X.M., Dong, L., Gao, Y.J.: Opt. Commun. 284, 2065 (2011)

    Article  ADS  Google Scholar 

  20. Gao, G.: Phys. Scr. 81, 065005 (2010)

    Article  ADS  Google Scholar 

  21. Wang, X.W., Xia, L.X., Wang, Z.Y., Zhang, D.Y.: Opt. Commun. 283, 1196 (2010)

    Article  ADS  Google Scholar 

  22. Zhan, Y.B., Zhang, Q.Y., Wang, Y.W.: Commun. Theor. Phys. 53, 847 (2010)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  23. Hong, C.H., Heo, J.O., Lim, J., Yang, J.: Chin. Phys. Lett. 29, 050303 (2012)

    Article  Google Scholar 

  24. Yin, X.R., Ma, W.P., Liu, W.Y.: Int. J. Theor. Phys. 51, 455–461 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  25. Liu, W., Wang, Y.B., Jiang, Z.T., Cao, Y.Z.: Int. J. Theor. Phys. 51, 69–77 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  26. Wang, X. W., Yang, G. J.: Phys. Rev. A 78, 024301 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  27. Shen, H.W., Wang, H.F., Ji, X., Zhang, S.: Chin. Phys. B 18, 3706 (2009)

    Article  ADS  Google Scholar 

  28. Lin, X.: Chin. Phys. Lett. 27, 044207 (2010)

    Article  ADS  Google Scholar 

  29. Gao, G.L., Song, F.Q., Huang, S.S., Wang, H., Yuan, X.Z., Wang, M.F., Jiang, N.Q.: Chin. Phys. B 21, 044209 (2012)

    Article  ADS  Google Scholar 

  30. Koch, J., Yu, T.M., Gambetta, J., Houck, A., Schuster, D., Majer, J., Blais, A., Devoret, M.S., Girvin, M., Schoelkopf, R.: Phys. Rev. A 76, 042319 (2007)

    Article  ADS  Google Scholar 

  31. Schreier, J.A., Houck, A.A., Koch, J., Schuster, D.I., Johnson, B.R., Chow, J.M., Gambetta, J.M., Majer, J., Frunzio, L., Devoret, M.H., Girvin, S.M., Schoelkopf, R.J.: Phys. Rev. B 77, 1805 02 (2008)

    Article  Google Scholar 

  32. Blais, A., Gambetta, J., Wallraff, A., Schuster, D. I., Girvin, S. M., Devoret, M. H., Schoelkopf, R. J.: Phys. Rev. A 75, 032329 (2007)

    Article  ADS  Google Scholar 

  33. Pashkin, Y.A., Yamamoto, T., Astafiev, O., Nakamura, Y., Averin, D., Tsai, J.: arXiv:cond-mat/ 0212314

  34. Wu, C.W., Han, Y., Li, H.Y., Deng, Z.J., Chen, P.X., Li, C.Z.: Phys. Rev. A 82, 014303 (2010)

    Article  ADS  Google Scholar 

  35. Makhlin, Y., Schüon, G., Shnirman, A.: Rev. Mod. Phys. 73, 357 (2001)

    Article  ADS  Google Scholar 

  36. Clarke, J., Wilhelm, F.K.: Nature (London) 453, 1031 (2008)

    Article  ADS  Google Scholar 

  37. Haroche, S.: Fundamental Systems in Qunantum Optics. In: In: Dalibard, J., Zinn, J. (eds.) , p 767, Elsevier, New York (1992)

  38. Zheng, S.B.: Phys. Rev. A 68, 035801 (2003)

    Article  ADS  Google Scholar 

  39. Linden, N., Massar, S., Popescu, S.: Phys. Rev. Lett. 81, 3279 (1998)

    Article  ADS  Google Scholar 

  40. Yang, C.P., Liu, Y.X., Nori, F.: Phys. Rev. A 81, 062323 (2010)

    Article  ADS  Google Scholar 

  41. DiCarlo, L., Reed, M., Sun, L., Johnson, B., Chow, J., Gambetta, J., Frunzio, L., Girvin, S., Devoret, M., Schoelkopf, R.: Nature (London) 467, 574 (2010)

    Article  ADS  Google Scholar 

  42. Yang, C.P.: Phys. Rev. A 82, 054303 (2010)

    Article  ADS  Google Scholar 

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (No.109470 17/A05).

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Authors and Affiliations

  1. College of physics and Electric Information, Wenzhou University, Wenzhou, 325035, China

    Yanbo Guo, Guozhong Wang & Nianquan Jiang

Authors
  1. Yanbo Guo
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  2. Guozhong Wang
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  3. Nianquan Jiang
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Correspondence to Nianquan Jiang.

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Guo, Y., Wang, G. & Jiang, N. Generating χ-Type Four-Qubit Entangled States in Superconducting Transmon Qubit System. Int J Theor Phys 53, 3135–3141 (2014). https://doi.org/10.1007/s10773-014-2110-0

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  • DOI: https://doi.org/10.1007/s10773-014-2110-0

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