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Avoiding Loss of Fidelity for Universal Entangling Geometric Quantum Gate

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Abstract

A strategy to perfectly preserve the two-qubit state is investigated in geometric quantum computation for nuclear magnetic resonance system. The results show that, by controlling the azimuthal angle in the initial state, we may realize the geometric quantum gate with a perfect fidelity under the geometric quantum computation. The way may be extended to other physical systems.

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References

  1. Zanardi, P., Rasetti, M.: Phys. Lett. A 264, 94 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Jones, J.A., Vedral, V., Ekert, A., Castagnoli, G.: Nature (London) 403, 869 (2000)

    Article  ADS  Google Scholar 

  3. Duan, L.M., Cirac, J.I., Zoller, P.: Science 292, 1695 (2001)

    Article  ADS  Google Scholar 

  4. Falci, G., Fazio, R., Palma, G.M., Siewert, J., Vedral, V.: Nature (London) 407, 355 (2000)

    Article  ADS  Google Scholar 

  5. Wang, Z.S., et al.: Europhys. Lett. 74, 958 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  6. Wang, Z.S., et al.: Phys. Rev. A 75, 024102 (2007)

    Article  ADS  Google Scholar 

  7. Wang, Z.S., et al.: Phys. Lett. A 359, 608 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. Wang, Z.S., et al.: Phys. Lett. A 372, 775 (2008)

    Article  ADS  Google Scholar 

  9. Wang, Z.S.: Phys. Rev. A 79, 024304 (2009)

    Article  ADS  Google Scholar 

  10. Wang, Z.S., Liu, G.Q., Ji, Y.H.: Phys. Rev. A 79, 054301 (2009)

    Article  ADS  Google Scholar 

  11. Pachos, J., Zanardi, P., Rasetti, M.: Phys. Rev. A 61, 010305 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  12. Zhang, X.D., Zhu, S.L., Hu, L., Wang, Z.D.: Phys. Rev. A 71, 014302 (2005)

    Article  ADS  Google Scholar 

  13. Leibfried, D., et al.: Nature 422, 422 (2003)

    Article  ADS  Google Scholar 

  14. Zhu, S.L., Wang, Z.D.: Phys. Rev. Lett. 91, 187902 (2003)

    Article  ADS  Google Scholar 

  15. Zheng, S.B.: Phys. Rev. A 70, 052320 (2004)

    Article  ADS  Google Scholar 

  16. Chen, C.Y., Feng, M., Zhang, X.L., Gao, K.L.: Phys. Rev. A 73, 032344 (2006)

    Article  ADS  Google Scholar 

  17. Wang, Z.S., Wu, C., Feng, X.-L., Kwek, L.C., Lai, C.H., Oh, C.H.: Phys. Rev. A 75, 024102 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  18. Schumacher, B.: Phys. Rev. A 51, 2738 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  19. Duan, L.M., Guo, G.C.: Phys. Rev. A 56, 4466 (1997)

    Article  ADS  Google Scholar 

  20. Yuuki, T., Takashi, Y., Masato, K., Nobuyuki, I.: Phys. Rev. A 74, 020301 (2006)

    Article  Google Scholar 

  21. Chizhov, A.V., Knoll, L., Welsch, D.G.: Phys. Rev. A 65, 022310 (2002)

    Article  ADS  Google Scholar 

  22. Du, J.F., Zou P, P., Wang, Z.D.: Phys. Rev. A 74, 020302 (2006)

    Article  ADS  Google Scholar 

  23. Ide, T., Hofmann, H.F., Furusawa, A., Kobayashi, T.: Phys. Rev. A 65, 062303 (2002)

    Article  ADS  Google Scholar 

  24. Lloyd, S.: Phys. Rev. Lett. 75, 346 (1995)

    Article  ADS  Google Scholar 

  25. Deutsch, D., Barenco, A., Ekert, A.: Proc. R. Soc. Lond., Ser. A 449, 669 (1995)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  26. Joasa, R.: J. Mod. Opt. 41, 2315 (1994)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, People’s Republic of China

    Z. Q. Chen, J. Q. Wang, X. L. Li, Y. H. Ji, Y. Y. Jiang & Z. S. Wang

  2. Hubei Radio TV University, Wuhan, 430074, People’s Republic of China

    J. Q. Wang

  3. Department of Applied Chemistry, Wuhan University of Technology, Wuhan, 430070, People’s Republic of China

    B. R. Zhang

Authors
  1. Z. Q. Chen
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  2. J. Q. Wang
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  3. X. L. Li
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  4. Y. H. Ji
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  5. B. R. Zhang
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  6. Y. Y. Jiang
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  7. Z. S. Wang
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Correspondence to Z. S. Wang.

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Chen, Z.Q., Wang, J.Q., Li, X.L. et al. Avoiding Loss of Fidelity for Universal Entangling Geometric Quantum Gate. Int J Theor Phys 48, 2904–2915 (2009). https://doi.org/10.1007/s10773-009-0082-2

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  • DOI: https://doi.org/10.1007/s10773-009-0082-2

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