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Quantum Correlations in Qutrit-Qutrit Systems under Local Quantum Noise Channels

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Abstract

Due to decoherence, realistic quantum systems inevitably interact with the environment when quantum information is processed, which causes the loss of quantum properties. As a fundamental issue of quantum properties, quantum correlations have attracted a lot of interests in recent years. Because of the importance of high dimensional systems in quantum information, in this work, we study the quantum correlations affected by the Markovian environment by considering the quantum correlations of qutrit-qutrit quantum systems measured by the negativity and the geometric discord. The local noise channels covered in this work include dephasing, trit-flip, trit-phase-flip, and depolarising channels. We have also investigated the cases where the local decoherence channels of two sides are identical and non-identical.

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References

  1. Bostrom, K., Felbinger, T.: Phys. Rev. Lett. 89, 187902 (2002)

    Article  ADS  Google Scholar 

  2. YU, G.: Int. J. Theor. Phys. 51, 2954 (2012)

    Article  MATH  Google Scholar 

  3. Deng, F.G., Li, X.H., et al.: Phys. Lett. A 72, 359 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  4. Yang, Y.G., Wen, Q.Y.: Sci. China Ser. G 550, 558 (2007)

    Article  Google Scholar 

  5. Guhne, A., Hyllus, P. Int. J. Theor. Phys 42, 1001 (2003)

    Article  MathSciNet  Google Scholar 

  6. Nakano, T., Piani, M., Adesso, G.: Phys. Rev. A 72, 012117 (2013)

    Article  ADS  Google Scholar 

  7. Eltschka, C., Siewert, J.: Phys. Rev. Lett. 111, 100503 (2013)

    Article  ADS  Google Scholar 

  8. Datta, A.: Phys. Rev. A 81, 052312 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  9. Ferrie, C., Morris, R., Emerson, J.: Phys. Rev. A 82, 044103 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  10. Dajka, J., Mierzejewski, M., uczka, J., Blattmann, R., Hanggi, P.: J. Phys. A: Math. Theor. 45, 485306 (2012)

    Article  Google Scholar 

  11. Nielson, M.A., Chuang, I.L. Cambridge University Press, Cambridge (2000)

  12. Rudolph, O.: Phys. Rev. A 67, 032312 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  13. Moradi, S.: Quant. Inf. Comp. 11, 957 (2011)

    MATH  MathSciNet  Google Scholar 

  14. Yu, C.S., Song, H.S.: Phys. Rev. A 72, 022333 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  15. Vidal, G., Werner, R.F.: Phys. Rev. A 65, 032314032317 (2002)

    Article  Google Scholar 

  16. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Rev. Mod. Phys. 81, 865 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. Ollivier, H., Zurek, W.H. 88, 017901 (2001)

  18. Brodutch, A., Terno, D.R.: Phys. Rev. A 83, 010301(R) (2011)

    Article  ADS  Google Scholar 

  19. Datta, A., Shaji, A., Caves, C.M.: Phys. Rev. Lett. 100, 050502 (2008)

    Article  ADS  Google Scholar 

  20. Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Phys. Rev. Lett. 101, 200501 (2008)

    Article  ADS  Google Scholar 

  21. Okrasaa, M., Walczak, Z. Euro. Phys. Lett. 96, 60003 (2011)

    Article  ADS  Google Scholar 

  22. Yu, C.S., Zhang, Y., Zhao, H.: Quantum Inf. Process. 13, 1437 (2014)

  23. He, J., Tao Liu, W.: Int. J. Theor. Phys. 52, 3381 (2013)

    Article  MATH  Google Scholar 

  24. Liu, X., Ma, J., Xi, Z., Wang, X.: Phys. Rev. A 83, 012327 (2011)

    Article  ADS  Google Scholar 

  25. Chen, Q., Zhang, C., Yu, S., Yi, X.X., Oh, C.H.: Phys. Rev. A 84, 042313 (2011)

    Article  ADS  Google Scholar 

  26. Ali, M.: J. Phys. A Math. Theor. 43, 495303 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  28. Rana, S., Parashar, P.: Phys. Rev. A 85, 024102 (2012)

    Article  ADS  Google Scholar 

  29. Vidal, G., Werner, R.F.: Phys. Rev. A 65, 032314 (2002)

    Article  ADS  Google Scholar 

  30. Doustimotlagh, N., Wang, S., You, C., Long, G.L.: EPL 106, 60003 (2014)

    Article  ADS  Google Scholar 

  31. Wang, J., Jing, J.: Phys. Rev. A 82, 032324 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  32. Wang, J., Jing, J.: Ann. Phys. 327, 283 (2012)

    Article  ADS  MATH  Google Scholar 

  33. Hu, M.L., Fan, H.: Ann. Phys. 327, 851 (2012)

    Article  ADS  MATH  Google Scholar 

  34. Miao, C., Yang, M., Cao, Z.L.: Int. J. Theor. Phys. 52, 1780 (2013)

    Article  MathSciNet  Google Scholar 

  35. Ramzan, M., Khan, M.K.: Quant. Inf. Process. 11, 443 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  36. Ren, B.C., Wei, H.R., Deng, F.G.: Quantum Inf. Process. 13, 1175 (2014)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  37. Guo, J.L., Li, H., Long, G.L.: Quantum Inf. Process. 12, 3421 (2013)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  38. Chou, C.H., Yu, T., Hu, B.L.: Phys. Rev. E 77, 011112 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  39. An, J.H., Zhang, W.M.: Phys. Rev. A 76, 042127 (2007)

    Article  ADS  Google Scholar 

  40. An, J.H., Feng, M., Zhang, W.M.: Quantum Inf. Comput. 9, 0317 (2009)

    MathSciNet  Google Scholar 

  41. Addis, C., Bylicka, B., Chruscinski, D., Maniscalco, S. arXiv:1402.4975v3

  42. Li, J.G., Zou, J., Shao, B.: Phys. Rev. A 82, 042318 (2010)

    Article  ADS  Google Scholar 

  43. Maziero, J., Cleri, L.C., Serra, R.M., Vedral, V.: Phys. Rev. A 80, 044102 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  44. Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Phys. Rev. A 81, 052107 (2010)

    Article  ADS  Google Scholar 

  45. Girolami, D. arXiv:1403.2446v1

  46. Wang, S., Yao, L., Long, G.L.: Phys. Rev. A 87, 062305 (2013)

    Article  ADS  Google Scholar 

  47. Song, W., Chen, L., Zhu, S.L.: Phys. Rev. A 80, 012331 (2009)

    Article  ADS  Google Scholar 

  48. Mazhar, A.: Phys. Rev. A 81, 042303 (2010)

    Article  Google Scholar 

  49. Mazhar, A.: J. Phys. B At. Mol. Opt. Phys. 43, 045504 (2010)

    Article  Google Scholar 

  50. Hassan, A.S.M., Lari, B., Joag, P.S.: Phys. Rev. A 85, 024302 (2012)

    Article  ADS  Google Scholar 

  51. Xu, J.: J. Phys. A Math. Theor. 45, 405304 (2012)

    Article  Google Scholar 

  52. Hassan, A.S.M., Joag, P.S.: J. Phys. A Math. Theor. 45, 345301 (2012)

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China

    Nasibollah Doustimotlagh, Jin-Liang Guo & Shuhao Wang

  2. Tsinghua National Laboratory for Information Science and Technology, Beijing, 100084, China

    Shuhao Wang

Authors
  1. Nasibollah Doustimotlagh
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  2. Jin-Liang Guo
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  3. Shuhao Wang
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Corresponding author

Correspondence to Shuhao Wang.

Additional information

Project supported by the National Natural Science Foundation of China under Grant Nos. 11175094 and 11305114, and the National Basic Research Program of China under Grant No. 2011CB9216002.

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Doustimotlagh, N., Guo, JL. & Wang, S. Quantum Correlations in Qutrit-Qutrit Systems under Local Quantum Noise Channels. Int J Theor Phys 54, 1784–1797 (2015). https://doi.org/10.1007/s10773-014-2382-4

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  • DOI: https://doi.org/10.1007/s10773-014-2382-4

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