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Quantum Fisher Information of a 3-Qubit State

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Abstract

We investigate the properties of quantum Fisher information in a general superposition of a 3-qubit GHZ state and two W states. Numerical calculation for quantum Fisher information of the 3-qubit state is given. It is shown that the mean spin direction, the length of mean spin and quantum Fisher information are determined by the coefficients of superposition and the relative phase between the GHZ state and the W states.

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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. Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Phys. Rev. A 72, 022338 (2005)

    Article  ADS  Google Scholar 

  4. Zhou, P., Li, X.H., Deng, F.G., Zhou, H.Y.: J. Phys. A, Math. Theor. 40, 13121 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Li, X.H., Deng, F.G., Zhou, H.Y.: Chin. Phys. Lett. 24, 1151 (2007)

    Article  ADS  Google Scholar 

  6. Han, L.F., Fang, M., Shi, S.H., Zhang, Z.J.: Commun. Theor. Phys. 46, 217 (2006)

    Article  ADS  Google Scholar 

  7. 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 

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

    Article  ADS  MATH  Google Scholar 

  9. Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Phys. Rev. A 71, 044305 (2005)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  11. Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Phys. Rev. A 69, 052307 (2004)

    Article  ADS  Google Scholar 

  12. Li, X.H., Zhou, P., Li, C.Y., Zhou, H.Y., Deng, F.G.: J. Phys. B, At. Mol. Opt. Phys. 39, 1975 (2006)

    Article  ADS  Google Scholar 

  13. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Eur. Phys. J. D 39, 459 (2006)

    Article  ADS  Google Scholar 

  14. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Rev. A 72, 044301 (2005)

    Article  ADS  Google Scholar 

  15. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Lett. A 354, 190 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. Pezzé, L., Smerzi, A.: Phys. Rev. Lett. 102, 100401 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  20. Braunstein, S.L., Caves, C.M.: Phys. Rev. Lett. 72, 3439 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Helstrom, C.W.: Quantum Detection and Estimation Theory. Academic Press, New York (1976). Chap. VIII

    Google Scholar 

  22. Wootters, W.K.: Phys. Rev. D 23, 357 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  23. Boixo, S., Monras, A.: Phys. Rev. Lett. 100, 100503 (2008)

    Article  ADS  Google Scholar 

  24. Li, S.-S., Liu, Z.-Y., Liu, Z.-Y.: Int. J. Theor. Phys. 51, 1323 (2012)

    Article  Google Scholar 

  25. Liu, W.-F., Xiong, H.-N., Ma, J., Wang, X.: Int. J. Theor. Phys. 49, 1073 (2010)

    Article  MATH  Google Scholar 

  26. Dicke, R.H.: Phys. Rev. 93, 99 (1954)

    Article  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. College of Communication and Electron, Jiangxi Science and Technology Normal University, Nanchang, 330013, P.R. China

    Xiao-jie Yi & Jian-Min Wang

  2. Jiangxi University of Finance and Economics, Nanchang, 330013, P.R. China

    Guo-qiang Huang

Authors
  1. Xiao-jie Yi
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  2. Guo-qiang Huang
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  3. Jian-Min Wang
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Correspondence to Guo-qiang Huang.

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Yi, Xj., Huang, Gq. & Wang, JM. Quantum Fisher Information of a 3-Qubit State. Int J Theor Phys 51, 3458–3463 (2012). https://doi.org/10.1007/s10773-012-1230-7

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  • DOI: https://doi.org/10.1007/s10773-012-1230-7

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