Skip to main content
SpringerLink
Log in

Robustness of qubit–qudit entanglement under decoherence

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We investigate the robustness of entanglement for a qubit-qudit system under depolarizing and dephasing channels. For depolarizing channel, we obtain a simple analytical expression of entanglement evolution. It is shown that the larger dimension d a qudit subsystem has, the more robust a pure state becomes. For dephasing channel, we find the most robust entangled states and the most fragile ones. Moreover, the robustness of these states is independent of the qudit’s dimension d.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

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

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

    Article  ADS  Google Scholar 

  4. A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  5. G.L. Long, X.S. Liu, Phys. Rev. A 65, 032302 (2002)

    Article  ADS  Google Scholar 

  6. F.G. Deng, G.L. Long, X.S. Liu, Phys. Rev. A 68, 042317 (2003)

    Article  ADS  Google Scholar 

  7. M. Hillery, V. Bužek, A. Berthiaume, Phys. Rev. A 59, 1829 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  8. Y.B. Sheng, L. Zhou, Sci. Bull. 62, 1025 (2017)

    Article  Google Scholar 

  9. G. Castagnoli, Found. Phys. 46, 360 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  10. S.J. Wei, T. Xin, G.L. Long, Sci. China-Phys. Mech. Astron. 61, 070311 (2018)

    Article  ADS  Google Scholar 

  11. P.W. Shor, Phys. Rev. A 52, R2493 (1995)

    Article  ADS  Google Scholar 

  12. Y.B. Sheng, J. Pan, R. Guo, L. Zhou, L. Wang, Sci. China-Phys. Mech. Astron. 58, 060301 (2015)

    Article  Google Scholar 

  13. M.Y. Wang, J.Z. Xu, F.L. Yan, T. Gao, Europhys. Lett. 123, 60002 (2018)

    Article  ADS  Google Scholar 

  14. L. Aolita, F. de Melo, L. Davidovich, Rep. Prog. Phys. 78, 042001 (2015)

    Article  ADS  Google Scholar 

  15. T. Yu, J.H. Eberly, Phys. Rev. Lett. 93, 140404 (2004)

    Article  ADS  Google Scholar 

  16. T. Yu, J.H. Eberly, Phys. Rev. Lett. 97, 140403 (2006)

    Article  ADS  Google Scholar 

  17. T. Yu, J.H. Eberly, Science 323, 598 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  18. K. Roszak, P. Horodecki, R. Horodecki, Phys. Rev. A 81, 042308 (2010)

    Article  ADS  Google Scholar 

  19. M.P. Almeida, F. de Melo, M. Hor-Meyll, A. Salles, S.P. Walborn, P.H. Souto Ribeiro, L. Davidovich, Science 316, 579 (2007)

    Article  ADS  Google Scholar 

  20. A. Salles, F. de Melo, M.P. Almeida, M. Hor-Meyll, S.P. Walborn, P.H. Souto Ribeiro, L. Davidovich, Phys. Rev. A 78, 022322 (2008)

    Article  ADS  Google Scholar 

  21. K. Ann, G. Jaeger, Phys. Lett. A 372, 579 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  22. C.N. Pan, F. Li, J.S. Fang, M.F. Fang, Chin. Phys. B 20, 020304 (2011)

    Article  ADS  Google Scholar 

  23. L. Aolita, R. Chaves, D. Cavalcanti, A. Acin, L. Davidovich, Phys. Rev. Lett. 100, 080501 (2008)

    Article  ADS  Google Scholar 

  24. T. Yu, J.H. Eberly, Phys. Rev. B 66, 193306 (2002)

    Article  ADS  Google Scholar 

  25. C.Q. Pang, F.L. Zhang, Y. Jiang, M.L. Liang, J.L. Chen, Quant. Inf. Comput. 13, 0645 (2013)

    Google Scholar 

  26. K.I. Kim, B.K. Zhao, H.M. Li, Commun. Theor. Phys. 62, 667 (2014)

    Article  ADS  Google Scholar 

  27. Z. Liu, H. Fan, Phys. Rev. A 79, 064305 (2009)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  29. S. Lee, D.P. Chi, S.D. Oh, J. Kim, Phys. Rev. A 68, 062304 (2003)

    Article  ADS  Google Scholar 

  30. K. Chen, S. Albeverio, S.M. Fei, Phys. Rev. Lett. 95, 040504 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  31. K. Życzkowski, M. Kuś, J. Phys. A 27, 4235 (1994)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Physics, Jilin University, Changchun, 130012, P.R. China

    Hong-Mei Li & Xue-Mei Su

Authors
  1. Hong-Mei Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xue-Mei Su
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xue-Mei Su.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, HM., Su, XM. Robustness of qubit–qudit entanglement under decoherence. Eur. Phys. J. D 73, 56 (2019). https://doi.org/10.1140/epjd/e2019-90586-1

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2019-90586-1

Keywords

Search

Navigation