Skip to main content
Log in

Decoherence of interacting qubits in contact with a common environment

  • Quantum Information
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

Decoherence of interacting two qubits placed under the influence of a common environment is studied by means of the quantum master equation, where the two qubits interact with each other via the XY-coupling and the two-qubit system has the dephasing coupling with the environment. It is shown that when the asymmetry of the interaction between the two-qubit system and environment is not small, the qubit-qubit interaction significantly affects the dephasing of the two-qubit system. To examine such an interaction effect, the decay of two-qubit entanglement is calculated. It is found that the qubit-qubit interaction makes not only the decay of entanglement small but also the period of the oscillatory behaviour short.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C.W. Gardiner, Quantum Noise (Springer-verlarg, Berlin, 1991)

    MATH  Google Scholar 

  2. A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993)

    MATH  Google Scholar 

  3. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2006)

    Google Scholar 

  4. F. Shibata, T. Arimitsu, J. Phys. Soc. Jpn 49, 891 (1980)

    Article  ADS  Google Scholar 

  5. H.-P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2006)

    Google Scholar 

  6. R.P. Feynman, F.L. Vernon, Jr., Ann. Phys. 24, 118 (1963)

    Article  MathSciNet  ADS  Google Scholar 

  7. A.O. Caldeira, A.J. Leggett, Physica A 121, 587 (1983)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. D. Ahn, J. Oh, K. Kimm, S. Hwang, Phys. Rev. A 61, 052310 (2000)

    Article  ADS  Google Scholar 

  9. M. Thorwart, P. Hänggi, Phys. Rev. A 65, 012309 (2002)

    Article  ADS  Google Scholar 

  10. D. Ahn, J. Lee, M. Kim, S. Hwang, Phys. Rev. A 66, 012302 (2002)

    Article  ADS  Google Scholar 

  11. T. Yu, J. Eberly, Phys. Rev. Lett. 93, 14040 (2004)

    Google Scholar 

  12. J. Lee, I. Kim, D. Ahn, H. McAneney, M. Kim, Phys. Rev. A 70, 024301 (2004)

    Article  ADS  Google Scholar 

  13. S. Shresta, C. Anastopoulos, A. Dragulescu, B. Hu, Phys. Rev. A 71, 022109 (2005)

    Article  ADS  Google Scholar 

  14. M. Ban, S. Kitajima, F. Shibata, J. Phys. A 38, 7161 (2005)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. M. Ban, J. Phys. A 39, 1927 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  16. R. Kubo, M. Toda, N. Hashitsume, Statistical Physics II (Springer, Berlin, 1985)

    Google Scholar 

  17. T. Arimitsu, Y. Takahashi, F. Shibata, Physica A 100, 507 (1980)

    Article  ADS  Google Scholar 

  18. T. Arimitsu, F. Shibata, J. Phys. Soc. Jpn 51, 1070 (1982)

    Article  ADS  Google Scholar 

  19. M. Ban, T. Arimitsu, Physica A 129, 455 (1985)

    Article  ADS  Google Scholar 

  20. J.D. Cresser, J. Mod. Opt. 39, 2187 (1992)

    Article  ADS  Google Scholar 

  21. L. Quiroga, F. Rodríguez, M.E. Ramírez, R. París, Phys. Rev. A 75, 032308 (2007)

    Article  ADS  Google Scholar 

  22. I. Sinaysky, F. Petruccione, D. Burgarth, Phys. Rev. A 78, 062301 (2008)

    Article  ADS  Google Scholar 

  23. M. Scala, R. Migliore, A. Messina, J. Phys. A 41, 435304 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  24. Y. Dubi, M. Di Ventra, Phys. Rev. A 79, 012328 (2009)

    Article  ADS  Google Scholar 

  25. M. Ban, Phys. Rev. A 80, 064103 (2009)

    Article  ADS  Google Scholar 

  26. M. Ban, J. Phys. A 43, 035303 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  27. F. Benatti, R. Floreanini, J. Opt. B 7, S429 (2005)

    ADS  Google Scholar 

  28. J. Zhang, H. Yu, Phys. Rev. A 75, 012101 (2007)

    Article  ADS  Google Scholar 

  29. L. Jakóbczyk, J. Phys. 43, 015502 (2010)

    Google Scholar 

  30. T. Yu, J.H. Eberly, Quantum Inform. Comput. 7, 459 (2007)

    MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  32. G. Massimo Palma, K. Suominen, A.K. Ekert, Proc. R. Soc. London A 452, 567 (1996)

    Article  MATH  ADS  Google Scholar 

  33. B. Bellomo, R. Lo Franco, G. Compagno, Phys. Rev. Lett. 99, 160502 (2007)

    Article  ADS  Google Scholar 

  34. R.F. Werner, Phys. Rev. A 40, 4277 (1989)

    Article  ADS  Google Scholar 

  35. S. Ishizaka, T. Hiroshima, Phys. Rev. 62, 022310 (2003)

    MathSciNet  Google Scholar 

  36. T. Wei, K. Nemoto, P.M. Goldbart, P.G. Kwiat, W.J. Munro, F. Verstaete, Phys. Rev. 67, 022110 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. S. Das, G.S. Agarwal, J. Phys. B 42, 141003 (2009)

    Article  ADS  Google Scholar 

  39. S. Das, G.S. Agarwal, J. Phys. B 42, 205502 (2009)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Ban.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ban, M. Decoherence of interacting qubits in contact with a common environment. Eur. Phys. J. D 58, 415–421 (2010). https://doi.org/10.1140/epjd/e2010-00108-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2010-00108-6

Keywords

Navigation