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Geometric Quantum Discord of a Two-Qutrit System Under Decoherence at Finite Temperature

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Abstract

The dynamics and protection of geometric quantum discord (GQD) for a two-qutrit system under amplitude damping channel with finite temperature have been studied in detail. By using of a lower bound of GQD, numerical results show that the GQD dynamics suffering from amplitude damping channels is more robust against the decoherence at lower temperature. Moreover, by combining weak measurement with measurement reversal, we have also investigated the protecting of the GDQ for a two-qutrit system under decoherence. It is found that the measurement technique can effectively protect the GQD against decoherence at lower temperature, but fails to protect GQD at higher temperature of channel.

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References

  1. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  2. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Rev. Mod. Phys. 81, 865 (2007)

    Article  ADS  Google Scholar 

  3. Kaszlikowski, D., Gnaciski, P., Zukowski, M., Miklaszewski, W., Zeilinger, A.: Phys. Rev. Lett. 85, 44184421 (2000)

    Article  Google Scholar 

  4. Walborn, S.P., Lemelle, D.S., Almeida, M.P., Ribeiro, P.H.S.: Phys. Rev. Lett. 96, 090501 (2006)

    Article  ADS  Google Scholar 

  5. Klyachko, A.A., Öztop, B, Shumovsky, A.S.: Laser Phys. 17, 226229 (2007)

    Google Scholar 

  6. Yang, Z.B., Wu, H.Z., Zhen, S.B.: Chin. Phys. B 19, 094205 (2010)

    Article  ADS  Google Scholar 

  7. Ali, M.: Phys. Rev. A 81, 042303 (2010)

    Article  ADS  Google Scholar 

  8. Collins, D., Gisin, N., Linden, N., Massar, S., Popescu, S.: Phys. Rev. Lett. 88, 040404 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  9. Wang, Q., He, Z.: Phys. Scr. 90, 055102 (2015)

    Article  Google Scholar 

  10. Guo, Y.N., Fang, M.F., Wang, G.Y., Zeng, K.: Quantum Inf. Process. 15, 2851 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  11. Guo, Y.N., Fang, M.F., Zhang, S.Y., Liu, X.: Eur. Phys. Lett. 108, 47002 (2014)

    Article  ADS  Google Scholar 

  12. Jaeger, G., Ann, K.: J. Mod. Opt. 54, 2327 (2007)

    Article  ADS  Google Scholar 

  13. Ann, K., Jaeger, G.: Phys. Rev. A 76, 044101 (2007)

    Article  ADS  Google Scholar 

  14. Ramzan, M., Khan, M.K.: Quantum Inf. Process. 11, 443 (2012)

    Article  MathSciNet  Google Scholar 

  15. Behzadi, N., Faizi, E., Heibati, O.: Quantum Inf. Process. 16, 257 (2017)

    Article  ADS  Google Scholar 

  16. Tsokeng, A.T., Tchoffo, M., Fai, L.C.: Quantum Inf. Process. 16, 191 (2017)

    Article  ADS  Google Scholar 

  17. Yang, Y., Wang, A.M.: Chin. Phys. Lett. 30, 080302 (2013)

    Article  ADS  Google Scholar 

  18. Guo, J.L., Wei, J.L., Qin, W.: Quantum Inf. Process. 14, 1399 (2015)

    Article  ADS  Google Scholar 

  19. Wang, S.C., Yu, Z.W., Zou, W.J., Wang, X.B.: Phys. Rev. A 89, 022318 (2014)

    Article  ADS  Google Scholar 

  20. Horodecki, P., Horodecki, M., Horodecki, R.: Phys. Rev. Lett. 82, 1056 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  21. Dakic, B., Vedral, V., Brukner, C.: Phys. Rev. Lett. 105, 190502 (2010)

    Article  ADS  Google Scholar 

  22. Luo, S.L., Fu, S.S.: Phys. Rev. A 82, 034302 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  23. Yan, X.Q., Liu, G.H., Chee, J.: Phys. Rev. A 87, 022340 (2013)

    Article  ADS  Google Scholar 

  24. Xiao, X., Li, Y.L.: Eur. Phys. J. D 67, 204 (2013)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This research is supported by the National Natural Science Foundation of China (Grant Nos.11747107 and 11374096), the Scientific Research Project of Hunan Province Department of Education (Grant Nos.16C0134 and 17C0133), the Natural Science Foundation of Hunan Province (Grant No.2017JJ3346 and 14JJ2134), Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education (QSQC1403 and QSQC1411) and the Project of Science and Technology Plan of Changsha (ZD1601071 and K1705022).

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Authors and Affiliations

  1. College of Electronic and Communication Engineering, Changsha University, Changsha, Hunan, 410022, People’s Republic of China

    You-neng Guo, Gang-lin Zhang & Ke Zeng

  2. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha, 410081, People’s Republic of China

    You-neng Guo

  3. The First High School of Changsha, Hunan, 410005, People’s Republic of China

    Zhen-ke Liu

  4. College of Mathematics and Computing Science, Changsha University, Changsha, Hunan, 410022, People’s Republic of China

    Qing-long Tian

  5. College of Science, Hunan University of Technology, Zhuzhou, 412008, People’s Republic of China

    Guo-you Wang

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  1. You-neng Guo
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  2. Zhen-ke Liu
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  3. Qing-long Tian
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  4. Gang-lin Zhang
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  5. Guo-you Wang
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  6. Ke Zeng
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Corresponding authors

Correspondence to Qing-long Tian or Ke Zeng.

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Guo, Yn., Liu, Zk., Tian, Ql. et al. Geometric Quantum Discord of a Two-Qutrit System Under Decoherence at Finite Temperature. Int J Theor Phys 57, 1471–1478 (2018). https://doi.org/10.1007/s10773-018-3674-x

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  • DOI: https://doi.org/10.1007/s10773-018-3674-x

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