Advertisement

Measurement enhances long-distance entanglement generation in spin chains with dissipative processes

  • Morteza Rafiee
Regular Article
Part of the following topical collections:
  1. Topcical Issue: Quantum Correlations

Abstract

In this paper, effects of the regular measurements on a noisy channel has been investigated. The strategy introduced by Bayat et al. [New J. Phys. 17, 103041 (2015)] is followed to suppress dephasing and dissipation effects in a noisy spin channel and generate long distance entanglement by global measurement on the channel. A regular global measurements performed on spin channel weakly coupled to the sender and receiver qubits via XX interaction. This scheme is applied for dephasing and dissipation in non-zero temperature processes separately and the results show enhancement amounts of achieved entanglement rather than the no-measurement approach.

Graphical abstract

References

  1. 1.
    E. Schrödinger, Proc. Cambridge Philos. Soc. 31, 555 (1935) ADSCrossRefGoogle Scholar
  2. 2.
    E. Schrödinger, Proc. Cambridge Philos. Soc. 32, 446 (1936) ADSCrossRefGoogle Scholar
  3. 3.
    M. Nielsen, I. Chuang, Quantum Information and Quantum Computation (Cambridge University Press, Cambridge, 2000) Google Scholar
  4. 4.
    S. Bose, Phys. Rev. Lett. 91, 207901 (2003) ADSCrossRefGoogle Scholar
  5. 5.
    J. Eisert, M.B. Plenio, S. Bose, J. Hartley, Phys. Rev. Lett. 93, 190402 (2004) ADSCrossRefGoogle Scholar
  6. 6.
    M. Christandl, N. Datta, A. Ekert, A.J. Landahl, Phys. Rev. Lett. 92, 187902 (2004) ADSCrossRefGoogle Scholar
  7. 7.
    V. Giovannetti, D. Burgarth, Phys. Rev. Lett. 96, 030501 (2006) ADSCrossRefGoogle Scholar
  8. 8.
    J. Fitzsimons, J. Twamley, Phys. Rev. Lett. 97, 090502 (2006) ADSCrossRefGoogle Scholar
  9. 9.
    A. Kay, Phys. Rev. Lett. 98, 010501 (2007) ADSCrossRefGoogle Scholar
  10. 10.
    T.J. Osborne, N. Linden, Phys. Rev. A 69, 052315 (2004) ADSCrossRefGoogle Scholar
  11. 11.
    A.O. Lyakhov, C. Bruder, Phys. Rev. B 74, 235303 (2006) ADSCrossRefGoogle Scholar
  12. 12.
    A. Bayat, V. Karimipour, Phys. Rev. A 71, 042330 (2005) ADSCrossRefGoogle Scholar
  13. 13.
    D. Burgarth, S. Bose, Phys. Rev. A 73, 062321 (2006) ADSCrossRefGoogle Scholar
  14. 14.
    L. Zhou, J. Lu, T. Shi, C.P. Sun, https://doi.org/arXiv:quant-ph/0608135
  15. 15.
    D. Burgarth, S. Bose, Phys. Rev. A 71, 052315 (2005) ADSCrossRefGoogle Scholar
  16. 16.
    M. Avellino, A.J. Fisher, S. Bose, Phys. Rev. A 74, 012321 (2006) ADSCrossRefGoogle Scholar
  17. 17.
    A. Bayat, S. Bose, Adv. Math. Phys. 2010, 127182 (2010) CrossRefGoogle Scholar
  18. 18.
    A. Bayat, D. Burgarth, S. Mancini, S. Bose, Phys. Rev. A 77, 050306(R) (2008) ADSCrossRefGoogle Scholar
  19. 19.
    R. Hanson, L.P. Kouwenhoven, J.R. Petta, S. Tarucha, L.M.K. Vandersypen, Rev. Mod. Phys. 79, 1217 (2007) ADSCrossRefGoogle Scholar
  20. 20.
    M. Veldhorst, et al., Nature 526, 410 (2015) ADSCrossRefGoogle Scholar
  21. 21.
    J. Majer, et al., Nature 449, 443 (2007) ADSCrossRefGoogle Scholar
  22. 22.
    M.A. Sillanpää, J.I. Park, R.W. Simmonds, Nature 449, 438 (2007) ADSCrossRefGoogle Scholar
  23. 23.
    F. Schmidt-Kaler, et al., Nature 422, 408 (2003) ADSCrossRefGoogle Scholar
  24. 24.
    T.A. Baart, T. Fujita, C. Reichl, W. Wegscheider, L.M.K. Vandersypen, Nat. Nanotechnol. 12, 26 (2017) ADSCrossRefGoogle Scholar
  25. 25.
    M. Leijnse, K. Flensberg, Phys. Rev Lett. 111, 060501 (2013) ADSCrossRefGoogle Scholar
  26. 26.
    F. Hassler, G. Catelani, H. Bluhm, Phys. Rev. B 92, 235401 (2015) ADSCrossRefGoogle Scholar
  27. 27.
    S. Mehl, H. Bluhm, D.P. DiVincenzo, Phys. Rev. B 90, 045404 (2014) ADSCrossRefGoogle Scholar
  28. 28.
    W.S. Bakr, et al., Nature 462, 74 (2009) ADSCrossRefGoogle Scholar
  29. 29.
    M. Greiner, et al., Nature 415, 39 (2002) ADSCrossRefGoogle Scholar
  30. 30.
    W.S. Bakr, et al., Science 329, 547 (2010) ADSCrossRefGoogle Scholar
  31. 31.
    R. Jördens, et al., Nature 455, 204 (2008) ADSCrossRefGoogle Scholar
  32. 32.
    U. Schneider, et al., Science 322, 1520 (2008) ADSCrossRefGoogle Scholar
  33. 33.
    L.M. Duan, E. Demler, M.D. Lukin, Phys. Rev. Lett. 91, 090402 (2003) ADSCrossRefGoogle Scholar
  34. 34.
    L. Campos Venuti, C.D.E. Boschi, M. Roncaglia, Phys. Rev. Lett. 96, 247206 (2006) ADSCrossRefGoogle Scholar
  35. 35.
    L. Campos Venuti, S.M. Giampaolo, F. Illuminati, P. Zanardi, Phys. Rev. A 76, 052328 (2007) ADSCrossRefGoogle Scholar
  36. 36.
    M. Rafiee, H. Mokhtari, Phys. Rev. A 87, 022304 (2013) ADSCrossRefGoogle Scholar
  37. 37.
    L. Trifunovic, F.L. Pedrocchi, D. Loss, Phys. Rev. X 3, 041023 (2013) Google Scholar
  38. 38.
    S. Sahling, G. Remenyi, C. Paulsen, P. Monceau, V. Saligrama, C. Marin, A. Revcolevschi, L.P. Regnault, S. Raymond, J.E. Lorenzo, Nat. Phys. 11, 255 (2015) CrossRefGoogle Scholar
  39. 39.
    J.F. Poyatos, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 77, 4728 (1996) ADSCrossRefGoogle Scholar
  40. 40.
    S. Diehl, A. Micheli, A. Kantian, B. Kraus, H.P. Büchler, P. Zoller, Nat. Phys. 4, 878 (2008) CrossRefGoogle Scholar
  41. 41.
    M.J. Kastoryano, F. Reiter, A.S. Sorensen, Phys. Rev. Lett. 106, 090502 (2011) ADSCrossRefGoogle Scholar
  42. 42.
    J. Busch, S. De, S.S. Ivanov, B.T. Torosov, T.P. Spiller, A. Beige, Phys. Rev. A 84, 022316 (2011) ADSCrossRefGoogle Scholar
  43. 43.
    B. Julsgaard, K. Mølmer, Phys. Rev. A 85, 032327 (2012) ADSCrossRefGoogle Scholar
  44. 44.
    M.B. Plenio, S.F. Huelga, Phys. Rev. Lett. 88, 197901 (2002) ADSCrossRefGoogle Scholar
  45. 45.
    S. Clark, A. Peng, M. Gu, S. Parkins, Phys. Rev. Lett. 91, 177901 (2003) ADSCrossRefGoogle Scholar
  46. 46.
    S. Mancini, J. Wang, Eur. Phys. J. D 32, 257 (2005) ADSCrossRefGoogle Scholar
  47. 47.
    L. Hartmann, W. Dur, H.J. Briegel, Phys. Rev. A 74, 052304 (2006) ADSCrossRefGoogle Scholar
  48. 48.
    D. Angelakis, S. Bose, S. Mancini, Europhys. Lett. 85, 20007 (2007) ADSCrossRefGoogle Scholar
  49. 49.
    F. Verstraete, M.M. Wolf, J.I. Cirac, Nat. Phys. 5, 633 (2009) CrossRefGoogle Scholar
  50. 50.
    D. Braun, Phys. Rev. Lett. 89, 277901 (2002) CrossRefGoogle Scholar
  51. 51.
    F. Benatti, R. Floreanini, M. Piani, Phys. Rev. Lett. 91, 070402 (2003) ADSCrossRefGoogle Scholar
  52. 52.
    F. Benatti, R. Floreanini, U. Marzolino, Phys. Rev. A 81, 012105 (2010) ADSCrossRefGoogle Scholar
  53. 53.
    H. Krauter, C.A. Muschik, K. Jensen, W. Wasilewski, J.M. Petersen, J.I. Cirac, E.S. Polzik, Phys. Rev. Lett. 107, 080503 (2011) ADSCrossRefGoogle Scholar
  54. 54.
    B. Kraus, H.P. Büchler, S. Diehl, A. Kantian, A. Micheli, P. Zoller, Phys. Rev. A 78, 042307 (2008) ADSCrossRefGoogle Scholar
  55. 55.
    L. Memarzadeh, S. Mancini, Phys. Rev. A 83, 042329 (2011) ADSCrossRefGoogle Scholar
  56. 56.
    M. Rafiee, C. Lupo, H. Mokhtari, S. Mancini, Phys. Rev. A 85, 042320 (2012) ADSCrossRefGoogle Scholar
  57. 57.
    R. Ghanbari, M. Rafiee, Eur. Phys. J. D 68, 215 (2014) ADSCrossRefGoogle Scholar
  58. 58.
    A. Nourmandipour, M.K. Tavassoly, M. Rafiee, Phys. Rev. A 93, 022327 (2016) ADSCrossRefGoogle Scholar
  59. 59.
    N.Y. Yao, L. Jiang, A.V. Gorshkov, Z.-X. Gong, A. Zhai, L.-M. Duan, M.D. Lukin, Phys. Rev. Lett. 106, 040505 (2011) ADSCrossRefGoogle Scholar
  60. 60.
    N.Y. Yao, L. Jiang, A.V. Gorshkov, P.C. Maurer, G. Giedke, J.I. Cirac, M.D. Lukin, Nat. Commun. 3, 800 (2012) ADSCrossRefGoogle Scholar
  61. 61.
    A. Wójcik, T. Luczak, P. Kurzynski, A. Grudka, T. Gdala, M. Bednarska, Phys. Rev. A 72, 034303 (2005) ADSMathSciNetCrossRefGoogle Scholar
  62. 62.
    M.H. Yung, S. Bose, Phys. Rev. A 71, 032310 (2005) ADSCrossRefGoogle Scholar
  63. 63.
    M.H. Yung, S.C. Benjamin, S. Bose, Phys. Rev. Lett. 96, 220501 (2006) ADSCrossRefGoogle Scholar
  64. 64.
    L. Banchi, A. Bayat, P. Verrucchi, S. Bose, Rev. Lett. 106, 140501 (2011) ADSCrossRefGoogle Scholar
  65. 65.
    K. Shizume, K. Jacobs, D. Burgarth, S. Bose, Phys. Rev. A 75, 062328 (2007) ADSMathSciNetCrossRefGoogle Scholar
  66. 66.
    P.G. Gualdi, S.M. Giampaolo, F. Illuminati, Phys. Rev. Lett. 106, 050501 (2011) ADSMathSciNetCrossRefGoogle Scholar
  67. 67.
    S. Pouyandeh, F. Shahbaz, A. Bayat, Phys. Rev. A 90, 012337 (2014) ADSCrossRefGoogle Scholar
  68. 68.
    A. bayat, Phys. Rev. A 89, 062302 (2014) ADSCrossRefGoogle Scholar
  69. 69.
    N. Roch, M.E. Schwartz, F. Motzoi, C. Macklin, R. Vijay, A.W. Eddins, A.N. Korotkov, K.B. Whaley, M. Sarovar, I. Siddiqi, Phys. Rev. Lett. 112, 170501 (2014) ADSCrossRefGoogle Scholar
  70. 70.
    M.K. Pedersen, J.J.W.H. Sørensen, M.C. Tichy, J.F. Sherson, New J. Phys. 16, 113038 (2014) CrossRefGoogle Scholar
  71. 71.
    J. Sherson, K. Molmer, Phys. Rev. A 71, 033813 (2005) ADSCrossRefGoogle Scholar
  72. 72.
    A. Bayat, Y. Omar, New J. Phys. 17, 103041 (2015) ADSCrossRefGoogle Scholar
  73. 73.
    H.P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford Univ. Press, 2002) Google Scholar
  74. 74.
    E. Lieb, T. Schultz, D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961) ADSCrossRefGoogle Scholar
  75. 75.
    P. Jordan, E. Wigner, Z. Phys. 47, 631 (1928) ADSCrossRefGoogle Scholar
  76. 76.
    W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998) ADSCrossRefGoogle Scholar
  77. 77.
    L.C. Venuti, S.M. Giampaolo, F. Illuminati, P. Zanardi, Phys. Rev. A 76, 052328 (2007) ADSCrossRefGoogle Scholar
  78. 78.
    B. Misra, E.C.G. Sudarshan, J. Math. Phys. 18, 756 (1977) ADSCrossRefGoogle Scholar
  79. 79.
    D.I. Tsomokos, M.J. Hartmann, S.F. Huelga, M.B. Plenio, New J. Phys. 9, 79 (2007) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Physics, Shahrood University of TechnologyShahroodIran

Personalised recommendations