Skip to main content
Log in

Spin Squeezing of Superposition

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

Abstract

We investigate the mean spin direction, length of mean spin and spin squeezing in a general superposition of a GHZ state and a W state. It is shown that the mean spin direction and spin squeezing parameter are determined by the coefficients of superposition and the relative phase between the GHZ state and the W state; while the length of mean spin is only determined by coefficients of superposition.

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.

Similar content being viewed by others

References

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

    Article  MATH  ADS  Google Scholar 

  2. Liao, J.-Q., Kuang, L.-M.: J. Phys. B, At. Mol. Opt. Phys. 40, 1183 (2007)

    Article  ADS  Google Scholar 

  3. Liao, J.-Q., Kuang, L.-M.: Chin. Phys. 15, 2246 (2006)

    Article  ADS  Google Scholar 

  4. Zhou, L., Kuang, L.-M.: Chin. Phys. Lett. 21, 2101 (2004)

    Article  ADS  Google Scholar 

  5. Liao, J.-Q., Kuang, L.-M.: Chin. Phys. Lett. 21, 12 (2004)

    Article  ADS  Google Scholar 

  6. Chen, J.-L., Kuang, L.-M.: Phys. Lett. A 358, 115 (2006)

    Article  ADS  Google Scholar 

  7. Wang, X.-W., Shan, Y.-G., Xia, L.-X., Lu, M.-W.: Phys. Lett. A 364, 7 (2007)

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. Wang, X.-W., Yang, G.-J.: Phys. Rev. A 79, 064306 (2009)

    Article  ADS  Google Scholar 

  10. Wang, X.-W.: Commun. Theor. Phys. 52, 209 (2009)

    Article  MATH  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. 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 Song-song Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Ss. Spin Squeezing of Superposition. Int J Theor Phys 50, 719–723 (2011). https://doi.org/10.1007/s10773-010-0601-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-010-0601-1

Keywords

Navigation