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Robustness of tripartite entanglement transfer from bosonic modes to localized qubits

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Abstract

We address entanglement transfer from a three-mode bosonic system to a tripartite systems of spatially separated flying or fixed qubits through the interaction with their local environments. We focus on the robustness of entanglement transfer against several effects, including off-resonant interactions for both qubit-local environment and local environment-bosonic mode subsystems, and also exploring the effect of changing the coupling constants, with the possibility to have different values for each qubit-local environment interaction. For the entangled bosonic modes we consider both Gaussian states and qubit-like states, comparing three different Generalized Schmidt Decompositions forms widely used in the literature and analyzing how the deviation from qubit-like approximation influences entanglement transfer. Finally, we investigate the multimode coupling between bosonic modes and each local environment showing a comparison between various qubit-like initial states and discussing how to improve the efficiency of entanglement transfer.

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References

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. O. Gühne, G. Toth, Phys. Rep. 474, 1 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  3. M. Hayashi, D. Markham, M. Murao, S. Virmani, Phys. Rev. Lett. 96, 040501(2006)

    Article  MathSciNet  ADS  Google Scholar 

  4. D. Markham, B.C. Sanders, Phys. Rev. A 78, 042309 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  5. M. Hillery, V. Buzek, A. Berthiaume, Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  6. R. Raussendorf, H.-J. Briegel, Phys. Rev. Lett. 86, 5188 (2001)

    Article  ADS  Google Scholar 

  7. H.J. Briegel, D.E. Browne, W. Dür, R. Raussendorf, M. Van den Nest, Nat. Phys. 5, 19 (2009)

    Article  Google Scholar 

  8. V. Giovannetti, S. Lloyd, L. Maccone, Science 306, 1330 (2004)

    Article  ADS  Google Scholar 

  9. T.R. de Oliveira, G. Rigolin, M.C. de Oliveira, Phys. Rev. A 73, 010305(R)(2006)

    ADS  Google Scholar 

  10. A. Montakhab, A. Asadian, Phys. Review A 82, 062313 (2010)

    Article  ADS  Google Scholar 

  11. D. Bruss, N. Datta, A. Ekert, L.C. Kwek, C. Macchiavello, Phys. Rev. A 72, 014301 (2005)

    Article  ADS  Google Scholar 

  12. Z. Wu, J. Li, W. Zheng, J. Luo, M. Feng, X. Peng, Phys. Rev. A 84, 042312 (2011)

    Article  ADS  Google Scholar 

  13. V. Coffman, J. Kundu, W.K. Wootters, Phys. Rev. A 61, 052306 (2000)

    Article  ADS  Google Scholar 

  14. C. Eltschka, A. Osterloh, J. Siewert, A. Uhlmann, New J. Phys. 10, 043014 (2008)

    Article  ADS  Google Scholar 

  15. E. Jung, M.R. Hwang, D.K. Park, J.W. Son, Phys. Rev. A 79, 024306 (2009)

    Article  ADS  Google Scholar 

  16. auY.U. Ou, H. Fan, Phys. Rev. A 75, 062308 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  17. C. Sabin, G. Garcia-Alcaine, Eur. Phys. J. D 48, 435 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  18. M. Huber, F. Mintert, A. Gabriel, B.C. Hiesmayr, Phys. Rev. Lett. 104, 210501 (2010)

    Article  ADS  Google Scholar 

  19. S. Haroche, J.M. Raimond, Exploring the Quantum (Oxford University Press, 2006)

  20. P. Reis, S. Shelly Sharma, Phys. Rev. A 79, 012326 (2009)

    Article  ADS  Google Scholar 

  21. C.F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G.P.T. Lancaster, C. Becher, F. Schmidt-Kaler, R. Blatt, Science 304, 1478 (2004)

    Article  ADS  Google Scholar 

  22. H. Haffner, W. Hänsel, C.F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U.D. Rapol, M. Riebe, P.O. Shmidt, C. Becher, O. Gühne, W. Dür, R. Blatt, Nature 438, 643 (2005)

    Article  ADS  Google Scholar 

  23. A. Allevi, A. Andreoni, M. Bondani, E. Puddu, A. Ferraro, M.G.A. Paris, Opt. Lett. 29, 180 (2004)

    Article  ADS  Google Scholar 

  24. A. Ferraro, M.G.A. Paris, A. Allevi, A. Andreoni, M. Bondani, E. Puddu, J. Opt. Soc. Am. B 21, 1241 (2004)

    Article  ADS  Google Scholar 

  25. J. Zhang, C. Xie, K. Peng, Phys. Rev. A 66, 032318 (2002)

    Article  ADS  Google Scholar 

  26. J. Jing, J. Zhang, F. Zhao, C. Xie, K. Peng, Phys. Rev. Lett. 90, 167903 (2003)

    Article  ADS  Google Scholar 

  27. T. Aoki, N. Takei, H. Yonezawa, K. Wakui, T. Hiraoka, A. Furusawa, Phys. Rev. Lett. 91, 080404 (2003)

    Article  ADS  Google Scholar 

  28. A. Allevi, M. Bondani, M.G.A. Paris, A. Andreoni, Phys. Rev. A 78, 063801 (2008)

    Article  ADS  Google Scholar 

  29. C. Genes, D. Vitali, P. Tombesi, Phys. Rev. A 77, 050307 (2008)

    Article  ADS  Google Scholar 

  30. S.B. Papp, K. Soo Choi, H. Deng, P. Lougovski, S.J. van Enk, H.J. Kimble, Science 324, 764 (2009)

    Article  ADS  Google Scholar 

  31. B. Röthlisberger, J. Lehmann, D.S. Saraga, P. Traber, D. Loss, Phys. Rev. Lett. 100, 100502 (2008)

    Article  Google Scholar 

  32. P. Neumann, N. Mizouchi, F. Rempp, P. Hemmer, H. Watanabe, S. Yamasaki, V. Jacques, T. Gaebel, F. Jelezko, J. Wrachtrup, Science 320, 1326 (2008)

    Article  ADS  Google Scholar 

  33. R. Migliore, K. Yuasa, M. Guccione, H. Nakazato, A. Messina, Phys. Rev. B 76, 052501 (2007)

    Article  ADS  Google Scholar 

  34. L. Di Carlo, M. D. Reed, L. Sun, B.R. Johnson, J.M. Chow, J.M. Gambetta, L. Frunzio, S.M. Girvin, M.H. Devoret, R.J. Choelkopf, Nature 467, 574 (2010)

    Article  ADS  Google Scholar 

  35. B. Julsgaard, J. Sherson, J.I. Cirac, J. Fiurasek, E. Polzik, Nature 432, 482 (2004)

    Article  ADS  Google Scholar 

  36. T. Chaneliere, D.N. Matsukevich, S.D. Jenkins, S.-Y. Lan, T.A.B. Kennedy, A. Kuzmich, Nature 438, 04315 (2005)

    Article  Google Scholar 

  37. T. Coudreau, F. Grosshans, S. Guibal, L. Guidoni, J. Phys. B: At. Mol. Opt. Phys. 40, 413 (2007)

    Article  ADS  Google Scholar 

  38. H.J. Kimble, Nature 453, 1023 (2008)

    Article  ADS  Google Scholar 

  39. K. Hammerer, A.S. Sorensen, E.S. Polzik, Rev. Mod. Phys. 82, 1041 (2010)

    Article  ADS  Google Scholar 

  40. J.B. Brask, I. Rigas, E.S. Polzik, U.L. Andersen, A.S. Sorensen, Phys. Rev. Lett. 105, 160501 (2010)

    Article  ADS  Google Scholar 

  41. W. Son, M.S. Kim, J. Lee, D. Ahn, J. Mod. Opt. 49, 1739 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  42. B. Kraus, J.I. Cirac, Phys. Rev. Lett. 92, 013602 (2004)

    Article  ADS  Google Scholar 

  43. M. Paternostro, W. Son, M.S. Kim, G. Falci, G.M. Palma, Phys. Rev. A. 70, 022320 (2004)

    Article  ADS  Google Scholar 

  44. J. Zou, G.L. Jun, S. Bin, L. Jian, S.L. Qian, Phys. Rev. A 73, 042319 (2006)

    Article  ADS  Google Scholar 

  45. D. McHugh, M. Ziman, V. Buzek, Phys. Rev. A. 74, 042303 (2006)

    Article  ADS  Google Scholar 

  46. A. Serafini, M. Paternostro, M.S. Kim, S. Bose, Phys. Rev. A. 73, 022312 (2006)

    Article  ADS  Google Scholar 

  47. F. Casagrande, A. Lulli, M.G.A. Paris, Phys. Rev. A 75, 032336 (2007)

    Article  ADS  Google Scholar 

  48. J. Lee, M. Paternostro, M.S. Kim, S. Bose Phys. Rev. Lett. 96, 080501(2006)

    Article  MathSciNet  ADS  Google Scholar 

  49. G. Adesso, S. Campbell, F. Illuminati, M. Paternostro Phys. Rev. Lett. 104, 240501(2010).

    Article  ADS  Google Scholar 

  50. M. Paternostro, W. Son, M.S. Kim, Phys. Rev. Lett. 92, 197901 (2004)

    Article  ADS  Google Scholar 

  51. F. Casagrande, A. Lulli, M.G.A. Paris, Eur. Phys. J. Special Topics 160, 71 (2008)

    Article  ADS  Google Scholar 

  52. F. Casagrande, A. Lulli, M.G.A. Paris, Phys. Rev. A 79, 022307 (2009)

    Article  ADS  Google Scholar 

  53. J. Dalibard, Y. Castin, K. Mølmer, Phys. Rev. Lett. 68, 580 (1992)

    Article  ADS  Google Scholar 

  54. M. Bina, F. Casagrande, M.G. Genoni, A. Lulli, M.G.A. Paris, Eur. Phys. Lett. 90, 30010 (2010)

    Article  ADS  Google Scholar 

  55. M. Bina, F. Casagrande, A. Lulli, M.G. Genoni, M.G.A. Paris, Int. J. Quant. Inf. 9, 83 (2011)

    Article  MATH  Google Scholar 

  56. M. Bina, F. Casagrande, M.G. Genoni, A. Lulli, M.G.A. Paris, Phys. Scr. T140, 014015 (2010)

    Article  ADS  Google Scholar 

  57. K. Zyczkovski, P. Horodecki, M. Horodecki, R. Horodecki, Phys. Rev. A 65, 012101 (2001)

    Article  ADS  Google Scholar 

  58. C. Simon, J. Kempe, Phys. Rev. A 65, 052327 (2002)

    Article  ADS  Google Scholar 

  59. P.J. Dodd, J.J. Halliwell, Phys. Rev. A 69, 052105 (2004)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  61. C.E. López, et al., Phys. Rev. Lett. 101, 080503 (2008)

    Article  Google Scholar 

  62. 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 

  63. A. Acin, D. Bruss, M. Lewenstein, A. Sanpera, Phys. Rev. Lett. 87, 040401 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  64. M. Seevinck, J. Uffink, Phys. Rev. A 78, 032101 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  65. O. Gühne, M. Seevinck, New J. Phys. 12, 053002 (2010)

    Article  Google Scholar 

  66. W. Dür, G. Vidal, J.I. Cirac, Phys. Rev. A 62, 062314 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  67. N. Linden, S. Popescu, W.K. Wootters, Phys. Rev. Lett. 89, 207901(2002)

    Article  ADS  Google Scholar 

  68. H. Carteret, A. Higuchi, A. Sudbery, J. Math. Phys. (N.Y.) 41, 7932 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  69. A. Acin, A. Andrianov, E. Jane, R. Tarrach, J. Phys. A 34, 6725 (2001)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  70. L. Tamaryan, D. Park, S. Tamaryan, preprint [arXiv:0809.1290v2]

  71. T. Pellizzari, Phys. Rev. Lett. 79, 5242 (1997)

    Article  ADS  Google Scholar 

  72. S.J. van Enk, H.J. Kimble, J.I. Cirac, P. Zoller, Phys. Rev. A 59, 2659 (1999)

    Article  ADS  Google Scholar 

  73. A. Serafini, S. Mancini, S. Bose, Phys. Rev. Lett. 96, 010503 (2006)

    Article  ADS  Google Scholar 

  74. E.T. Jaynes, F.W. Cummings, Proc. IEEE 51, 89 (1963)

    Article  Google Scholar 

  75. M. Tavis, F.W. Cummings, Phys. Rev. 188, 692 (1969)

    Article  ADS  Google Scholar 

  76. M. Tavis, F.W. Cummings, Phys. Rev. 188, 692(1969)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Milano, 20133, Milano, Italy

    A. Lulli

  2. CNISM, UdR Milano Statale, 20133, Milano, Italy

    A. Lulli

  3. Dipartimento di Scienze e Alta Tecnologia, Università dell’Insubria, 22100, Como, Italy

    M. Bina

  4. QOLS, Blackett Laboratory, Imperial College London, London, SW7 2AZ, UK

    M. G. Genoni

Authors
  1. A. Lulli
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  2. M. Bina
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  3. M. G. Genoni
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Correspondence to A. Lulli.

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Lulli, A., Bina, M. & Genoni, M.G. Robustness of tripartite entanglement transfer from bosonic modes to localized qubits. Eur. Phys. J. Spec. Top. 203, 25–47 (2012). https://doi.org/10.1140/epjst/e2012-01533-3

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