Advertisement

Schemes to avoid entanglement sudden death of decohering two qubit system

  • Namitha Chathavalappil
  • Satyavolu V. M. SatyanarayanaEmail author
Regular Article

Abstract

We investigate the entanglement dynamics of two interacting qubits in a common vacuum environment. The inevitable environment interaction leads to entanglement sudden death (ESD) in a two qubit entangled system. The entanglement dynamics can be modified by the use of local unitary operations (quantum gates), applied on the system during its evolution. We show that these operations not only delays or avoids the ESD but also advances the entanglement revival with an enhanced entanglement depending on the time of operation. We have analytically found out different time windows for switching with different quantum gates so that the ESD can be completely avoided in the subsequent evolution of the system. Our result offers practical applications in the field of quantum information processing where the entanglement is a necessary resource.

Graphical abstract

Keywords

Quantum Information 

References

  1. 1.
    M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000) Google Scholar
  2. 2.
    C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993) MathSciNetCrossRefADSGoogle Scholar
  3. 3.
    R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Rev. Mod. Phys. 81, 865 (2009) CrossRefADSGoogle Scholar
  4. 4.
    N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, S. Wehner, Rev. Mod. Phys. 86, 419 (2014) CrossRefADSGoogle Scholar
  5. 5.
    L. Aolita, F. de Melo, L. Davidovich, Rep. Prog. Phys. 78, 042001 (2015) CrossRefADSGoogle Scholar
  6. 6.
    T. Yu, J.H. Eberly, Phys. Rev. Lett. 93, 140404 (2004) CrossRefADSGoogle Scholar
  7. 7.
    T. Yu, J.H. Eberly, Phys. Rev. Lett. 97, 140403 (2006) CrossRefADSGoogle Scholar
  8. 8.
    T. Yu, J.H. Eberly, Science 323, 598 (2009) MathSciNetCrossRefADSGoogle Scholar
  9. 9.
    M.P. Almeida, F. de Melo, M. Hor-Meyll, A. Salles, S.P. Walborn, P.H. Souto Ribeiro, L. Davidovich, Science 316, 579 (2007) CrossRefADSGoogle Scholar
  10. 10.
    J. Laurat, K.S. Choi, H. Deng, C.W. Chou, H.J. Kimble, Phys. Rev. Lett. 99, 180504 (2007) CrossRefADSGoogle Scholar
  11. 11.
    Z. Ficek, R. Tanas, Phys. Reports 372, 369 (2002) MathSciNetCrossRefADSGoogle Scholar
  12. 12.
    Z. Ficek, R. Tanas, J. Modern Opt. 50, 2765 (2003) MathSciNetCrossRefADSGoogle Scholar
  13. 13.
    R. Tanas, Z. Ficek, J. Phys. B: At. Mol. Opt. 6, S90 (2004) Google Scholar
  14. 14.
    Z. Ficek, Op. Spectr. 108, 347 (2010) CrossRefADSGoogle Scholar
  15. 15.
    Z. Ficek, R. Tanas, Phys. Rev. A 77, 054301 (2008) CrossRefADSGoogle Scholar
  16. 16.
    Z. Ficek, R. Tanas, Phys. Rev. A 74, 024304 (2006) CrossRefADSGoogle Scholar
  17. 17.
    D.A. Lidar, I.L. Chuang, K.B. Whaley, Phys. Rev. Lett. 81, 2594 (1998) CrossRefADSGoogle Scholar
  18. 18.
    P.G. Kwiat, A.J. Berglund, J.B. Altepeter, K.G. White, Science 290, 498 (2000) CrossRefADSGoogle Scholar
  19. 19.
    P. Facchi, D.A. Lidar, S. Pascazio, Phys. Rev. A 69, 032314 (2004) CrossRefADSGoogle Scholar
  20. 20.
    S. Maniscalco, F. Francica, R.L. Zaffino, N.L. Gullo, F. Plastina, Phys. Rev. Lett. 100, 090503 (2008) MathSciNetCrossRefADSGoogle Scholar
  21. 21.
    P.W. Shor, Phys. Rev. A 52, R2493 (1995) CrossRefADSGoogle Scholar
  22. 22.
    A.M. Steane, Phys. Rev. Lett. 77, 793 (1996) MathSciNetCrossRefADSGoogle Scholar
  23. 23.
    A. Jamroz, J. Phys. A: Math. Gen. 39, 7727 (2006) MathSciNetCrossRefADSGoogle Scholar
  24. 24.
    T. Yu, J.H. Eberly, Quant. Inf. Comput. 7, 459 (2007) Google Scholar
  25. 25.
    A.R.R. Carvalho, A.J.S. Reid, J.J. Hope, Phys. Rev. A 78, 012334 (2008) CrossRefADSGoogle Scholar
  26. 26.
    S. Das, G.S. Agarwal, Phys. Rev. A 81, 052341 (2010) CrossRefADSGoogle Scholar
  27. 27.
    L. Viola, E. Knill, S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999) MathSciNetCrossRefADSGoogle Scholar
  28. 28.
    Y. Pan, Z.-R. Xi, J. Gong, J. Phys. B: At. Mol. Opt. 44, 175501 (2011) CrossRefADSGoogle Scholar
  29. 29.
    J.-C. Lee, H.-T. Lim, K.-H. Hong, Y.-C. Jeong, M.S. Kim, Y.-H. Kim, Nat. Commun. 5, 4522 (2014) CrossRefADSGoogle Scholar
  30. 30.
    Y.S. Kim, J.C. Lee, O. Kwon, Y.H. Kim, Nat. Phys. 8, 117 (2012) CrossRefGoogle Scholar
  31. 31.
    A.R.P. Rau, M. Ali, G. Alber, EPL 82, 40002 (2008) CrossRefADSGoogle Scholar
  32. 32.
    M. Irtiza Hussain, M. Ikram, J. Phys. B: At. Mol. Opt. 45, 115503 (2012) CrossRefADSGoogle Scholar
  33. 33.
    M. Ali, G. Alber, A.R.P. Rau, J. Phys. B: At. Mol. Opt. 42, 025501 (2009) CrossRefADSGoogle Scholar
  34. 34.
    M. Irtiza Hussain, R. Tahira, M. Ikram, J. Korean Phys. Soc. 59, 2901 (2011) CrossRefGoogle Scholar
  35. 35.
    X.-F. Qian, J.H. Eberly, Phys. Lett. A 376, 2931 (2012) CrossRefADSGoogle Scholar
  36. 36.
    X.-F. Qian, J. Phys. A: Math. Theor. 47, 265304 (2014) CrossRefADSGoogle Scholar
  37. 37.
    R.H. Lehmberg, Phys. Rev. A 2, 883 (1970) CrossRefADSGoogle Scholar
  38. 38.
    Z. Ficek, R. Tanas, S. Kielich, Physica 146A, 452 (1987) CrossRefADSGoogle Scholar
  39. 39.
    R.H. Dicke, Phys. Rev. 93, 99 (1954) CrossRefADSGoogle Scholar
  40. 40.
    W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998) CrossRefADSGoogle Scholar
  41. 41.
    L. Jakóbczyk, A. Jamroz, Phys. Lett. A 333, 35 (2004) CrossRefADSGoogle Scholar
  42. 42.
    Z. Ficek, Front. Phys. China 5, 26 (2010) CrossRefADSGoogle Scholar
  43. 43.
    M.I. Shaukat, E.V. Castro, H. Terças, Phys. Rev. A 98, 022319 (2018) CrossRefADSGoogle Scholar
  44. 44.
    A. Singh, S. Pradyumna, A.R.P. Rau, U. Sinha, JOSA B 34, 681 (2017) CrossRefADSGoogle Scholar
  45. 45.
    R.F. Werner, Phys. Rev. A. 40, 4277 (1989) CrossRefADSGoogle Scholar
  46. 46.
    C.V. Namitha, S.V.M. Satyanarayana, J. Phys. B: At. Mol. Opt. 51, 045506 (2018) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Namitha Chathavalappil
    • 1
  • Satyavolu V. M. Satyanarayana
    • 1
    Email author
  1. 1.Department of PhysicsPondicherry UniversityPuducherryIndia

Personalised recommendations