Skip to main content
SpringerLink
Log in

Quadripartite entanglement of microwave photons from separated resonators via concurrent parametric interactions in superconducting quantum circuits

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We present an alternative scheme for generating quadripartite continuous variable entanglement using the dispersion interactions of four separated resonators with a single driven superconducting qubit. We show that the cluster and Greenberger-Horne-Zeilinger (GHZ) entangled states of four output microwave photons can be created at the presence of quantum relaxations. The physical mechanism is proposed in the dressed-state representation of driving interaction. With the proper choice of the physical parameters, the concurrent parametric down-conversion interactions occur among four microwave modes, which are responsible for the four-mode entanglement generation. In practice, our scheme provides a useful approach for the scalable information processing in the solid-state system.

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. S.L. Braunstein, P. van Loock, Rev. Mod. Phys. 77, 513 (2005)

    Article  ADS  MATH  Google Scholar 

  2. P. van Loock, S.L. Braunstein, Phys. Rev. Lett. 84, 3482 (2000)

    Article  ADS  Google Scholar 

  3. J. Zhang, C.D. Xie, K.C. Peng, P. van Loock, Phys. Rev. A 77, 022316 (2008)

    Article  ADS  Google Scholar 

  4. J.T. Jing, J. Zhang, Y. Yan, F.G. Zhao, C.D. Xie, K.C. Peng, Phys. Rev. Lett. 90, 167903 (2003)

    Article  ADS  Google Scholar 

  5. T. Aoki, N. Takei, H. Yonezawa, K. Wakui, T. Hiraoka, A. Furusawa, P. van Loock, Phys. Rev. Lett. 91, 080404 (2003)

    Article  ADS  Google Scholar 

  6. X.L. Su, A.H. Tan, X.J. Jia, J. Zhang, C.D. Xie, K.C. Peng, Phys. Rev. Lett. 98, 070502 (2007)

    Article  ADS  Google Scholar 

  7. H.Y. Leng, J.F. Wang, Y.B. Yu, X.Q. Yu, P. Xu, Z.D. Xie, J.S. Zhao, S.N. Zhu, Phys. Rev. A 79, 032337 (2009)

    Article  ADS  Google Scholar 

  8. J.F. Wang, J.S. Zhao, H.Y. Leng, X.Q. Yu, Z.D. Xie, Y.L. Yin, P. Xu, S.N. Zhu, Opt. Commun. 282, 3729 (2009)

    Article  ADS  Google Scholar 

  9. S.L.W. Midgley, A.S. Bradley, O. Pfister, M.K. Olsen, Phys. Rev. A 81, 063834 (2010)

    Article  ADS  Google Scholar 

  10. J.F. Wang, J.T. Sheng, S.N. Zhu, M. Xiao, J. Opt. Soc. Am. B 30, 2130 (2013)

    Article  ADS  Google Scholar 

  11. Y.B. Yu, J.T. Sheng, M. Xiao, Phys. Rev. A 83, 012321 (2011)

    Article  ADS  Google Scholar 

  12. X.L. Su, Y.P. Zhao, S.H. Hao, X.J. Jia, C.D. Xie, K.C. Peng, Opt. Lett. 37, 5178 (2012)

    Article  ADS  Google Scholar 

  13. Y. Gu, G.Q. He, X.F. Wu, Phys. Rev. A 85, 052328 (2012)

    Article  ADS  Google Scholar 

  14. H.T. Tan, G.X. Li, Phys. Rev. A 84, 024301 (2011)

    Article  ADS  Google Scholar 

  15. Y. Wu, L. Deng, Opt. Lett. 29, 1144 (2004)

    Article  ADS  Google Scholar 

  16. X.H. Yang, Y.Y. Zhou, M. Xiao, Phys. Rev. A 85, 052307 (2012)

    Article  ADS  Google Scholar 

  17. Y. Wu, M.G. Payne, E.W. Hagley, L. Deng, Phys. Rev. A 69, 063803 (2004)

    Article  ADS  Google Scholar 

  18. H. Xiong, M.O. Scully, M.S. Zubairy, Phys. Rev. Lett. 94, 023601 (2005)

    Article  ADS  Google Scholar 

  19. X.M. Hu, J.H. Zou, Phys. Rev. A 78, 045801 (2008)

    Article  ADS  Google Scholar 

  20. S. Pielawa, G. Morigi, D. Vitali, L. Davidovich, Phys. Rev. Lett. 98, 240401 (2007)

    Article  ADS  Google Scholar 

  21. X.Y. Lü, P. Huang, W.X. Yang, X.X. Yang, Phys. Rev. A 80, 032305 (2009)

    Article  ADS  Google Scholar 

  22. G.L. Cheng, A.X. Chen, W.X. Zhong, Opt. Commun. 284, 4028 (2011)

    Article  ADS  Google Scholar 

  23. R. Guzmán, J.C. Retamal, E. Solano, N. Zagury, Phys. Rev. Lett. 96, 010502 (2006)

    Article  ADS  Google Scholar 

  24. X.M. Hu, X. Li, J. Phys. B 43, 055502 (2010)

    Article  ADS  Google Scholar 

  25. X. Liang, X.M. Hu, C. He, Phys. Rev. A 85, 032329 (2012)

    Article  ADS  Google Scholar 

  26. X. Li, X.M. Hu, J. Phys. B 45, 135503 (2012)

    Article  ADS  Google Scholar 

  27. L. Tian, Phys. Rev. Lett. 110, 233602 (2013)

    Article  ADS  Google Scholar 

  28. Y. Makhlin, G. Schön, A. Shnirman, Rev. Mod. Phys. 73, 357 (2001)

    Article  ADS  Google Scholar 

  29. A. Wallraff, D.I. Schuster, A. Blais, L. Frunzio, R.S. Huang, J. Majer, S. Kumar, S.M. Girvin, R.J. Schoelkopf, Nature 431, 162 (2004)

    Article  ADS  Google Scholar 

  30. O. Astafiev, A.M. Zagoskin, A.A. Abdumalikov Jr., Y.A. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, J.S. Tsai, Science 327, 840 (2010)

    Article  ADS  Google Scholar 

  31. W.R. Kelly, Z. Dutton, J. Schlafer, B. Mookerji, T.A. Ohki, J.S. Kline, D.P. Pappas, Phys. Rev. Lett. 104, 163601 (2010)

    Article  ADS  Google Scholar 

  32. P.M. Leung, B.C. Sanders, Phys. Rev. Lett. 109, 253603 (2012)

    Article  ADS  Google Scholar 

  33. S.L. Zhu, Z.D. Wang, P. Zanardi, Phys. Rev. Lett. 94, 100502 (2005)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  35. A.F. Obada, H.A. Hessian, A.A. Mohamed, A.H. Homid, J. Opt. Soc. Am. B 30, 1178 (2013)

    Article  ADS  Google Scholar 

  36. F.W. Strauch, K. Jacobs, R.W. Simmonds, Phys. Rev. Lett. 105, 050501 (2010)

    Article  ADS  Google Scholar 

  37. F.W. Strauch, D. Onyango, K. Jacobs, R.W. Simmonds, Phys. Rev. A 85, 022335 (2012)

    Article  ADS  Google Scholar 

  38. H. Wang, M. Mariantoni, R.C. Bialczak, M. Lenander, E. Lucero, M. Neeley, A.D. O’Connell, D. Sank, M. Weides, J. Wenner, T. Yamamoto, Y. Yin, J. Zhao, J.M. Martinis, A.N. Cleland, Phys. Rev. Lett. 106, 060401 (2011)

    Article  ADS  Google Scholar 

  39. C.P. Yang, Q.P. Su, S.Y. Han, Phys. Rev. A 86, 022329 (2012)

    Article  ADS  Google Scholar 

  40. C.P. Yang, Q.P. Su, S.B. Zheng, S.Y. Han, Phys. Rev. A 87, 022320 (2013)

    Article  ADS  Google Scholar 

  41. D.F.V. James, Fortschr. Phys. 48, 823 (2000)

    Article  Google Scholar 

  42. F. Marquardt, Phys. Rev. B 76, 205416 (2007)

    Article  ADS  Google Scholar 

  43. K. Moon, S.M. Girvin, Phys. Rev. Lett. 95, 140504 (2005)

    Article  ADS  Google Scholar 

  44. W.Y. Huo, G.L. Long, New J. Phys. 10, 013026 (2008)

    Article  ADS  Google Scholar 

  45. P.B. Stiffell, M.J. Everitt, T.D. Clark, C.J. Harland, J.F. Ralph, Phys. Rev. B 72, 014508 (2005)

    Article  ADS  Google Scholar 

  46. G.L. Cheng, A.X. Chen, W.X. Zhong, J. Opt. Soc. Am. B 30, 2875 (2013)

    Article  ADS  Google Scholar 

  47. M. Sargent III, M.O. Scully, W.E. Lamb Jr., Laser Physics (Addison-Wesley, 1974)

  48. P. van Loock, A. Furusawa, Phys. Rev. A 67, 052315 (2003)

    Article  ADS  Google Scholar 

  49. H. Wang, M. Hofheinz, M. Ansmann, R.C. Bialczak, E. Lucero, M. Neeley, A.D. O’Connell, D. Sank, J. Wenner, A.N. Cleland, J.M. Martinis, Phys. Rev. Lett. 101, 240401 (2008)

    Article  ADS  Google Scholar 

  50. A. Megrant, C. Neill, R. Barends, B. Chiaro, Y. Chen, L. Feigl, J. Kelly, E. Lucero, M. Mariantoni, P.J.J. O’Malley, D. Sank, A. Vainsencher, J. Wenner, T.C. White, Y. Yin, J. Zhao, C.J. Palmstrøm, J.M. Martinis, A.N. Cleland, Appl. Phys. Lett. 100, 113510 (2012)

    Article  ADS  Google Scholar 

  51. M. Baur, S. Filipp, R. Bianchetti, J.M. Fink, M. Göppl, L. Steffen, P.J. Leek, A. Blais, A. Wallraff, Phys. Rev. Lett. 102, 243602 (2009)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Physics, East China Jiaotong University, Nanchang, 330013, P.R. China

    Wen-Xue Zhong, Guang-Ling Cheng & Ai-Xi Chen

Authors
  1. Wen-Xue Zhong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guang-Ling Cheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ai-Xi Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Guang-Ling Cheng.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhong, WX., Cheng, GL. & Chen, AX. Quadripartite entanglement of microwave photons from separated resonators via concurrent parametric interactions in superconducting quantum circuits. Eur. Phys. J. D 68, 164 (2014). https://doi.org/10.1140/epjd/e2014-40834-y

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2014-40834-y

Keywords

Search

Navigation