Skip to main content
Log in

Spin Squeezing in Superpositions of GHZ State and W States

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We investigate the spin squeezing in superpositions of a N-qubit GHZ state and two W states. The spin squeezing parameter is determined by the superposition coefficients and the relative phase. It is shown that there is squeezing in the n 2 direction and there is no squeezing in the n 1 direction. It is also shown that the state with more number of qubits has smaller spin squeezing parameter.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)

    Article  ADS  MATH  Google Scholar 

  2. Li, S.-S., Huang, Y.B.: Int. J. Quantum Inf. 6, 561 (2008)

    Article  MATH  Google Scholar 

  3. Li, S.-S., Nie, Y.Y., Hong, Z.H., Yi, X.J., Huang, Y.B.: Commun. Theor. Phys. 50, 633 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  4. Huang, Y.B., Li, S.S., Nie, Y.Y.: Int. J. Theor. Phys. 48, 95 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Huang, Y.B., Li, S.S., Nie, Y.Y.: Int. J. Mod. Phys. C 19, 1509 (2008)

    Article  ADS  MATH  Google Scholar 

  6. Wang, X.-W., Yang, G.-J.: Phys. Rev. A 79, 062315 (2009)

    Article  ADS  Google Scholar 

  7. Linden, N., Popescu, S., Smolin, J.A.: Phys. Rev. Lett. 97, 100502 (2006)

    Article  ADS  Google Scholar 

  8. Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

  9. Peres, A.: Phys. Rev. Lett. 77, 1413 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Horodecki, P.: Phys. Lett. A 232, 333 (1997)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. Kitagawa, M., Ueda, M.: Phys. Rev. A 47, 5138 (1993)

    Article  ADS  Google Scholar 

  12. Wineland, D.J., Bollinger, J.J., Itano, W.M., Heinzen, D.J.: Phys. Rev. A 50, 67 (1994)

    Article  ADS  Google Scholar 

  13. Yan, D., Wang, X.G., Song, L.J., Zong, Z.G.: Cent. Eur. J. Phys. 5, 367 (2007)

    Article  Google Scholar 

  14. Barnum, H., Knill, E., Ortiz, G., Somma, R., Viola, L.: Phys. Rev. Lett. 92, 107902 (2004)

    Article  ADS  Google Scholar 

  15. Lewenstein, M., Kraus, B., Cirac, J.I., Horodecki, P.: Phys. Rev. A 62, 052310 (2000)

    Article  ADS  Google Scholar 

  16. Parashar, P., Rana, S.: Phys. Rev. A 83, 032301 (2011)

    Article  ADS  Google Scholar 

  17. Song, L., Yan, D., Ma, J., Wang, X.: Phys. Rev. E 79, 046220 (2009)

    Article  ADS  Google Scholar 

  18. Li, S.-S.: Int. J. Theor. Phys. 50, 719 (2011)

    Article  MATH  Google Scholar 

  19. Li, S.-S.: Int. J. Theor. Phys. 50, 767 (2011)

    Article  MATH  Google Scholar 

  20. Li, S.-S., Liu, Z.-Y., Xiao, I.-J.: Int. J. Theor. Phys. 51, 1323 (2012). doi:10.1007/s10773-011-1008-3

    Article  Google Scholar 

  21. Jin, G.-R., Liu, Y.-C., Liu, W.-M.: New J. Phys. 11, 073049 (2009)

    Article  ADS  Google Scholar 

  22. Sørensen, A., Duan, L.M., Cirac, J.I., Zoller, P.: Nature 409, 63 (2001)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiao-Jie Yi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yi, XJ., Huang, GQ. & Wang, JM. Spin Squeezing in Superpositions of GHZ State and W States. Int J Theor Phys 51, 2960–2965 (2012). https://doi.org/10.1007/s10773-012-1177-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1177-8

Keywords

Navigation