Skip to main content
SpringerLink
Log in

Quantum coherent control of highly multipartite continuous-variable entangled states by tailoring parametric interactions

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

Abstract

The generation of continuous-variable multipartite entangled states is important for several protocols of quantum information processing and communication, such as one-way quantum computation or controlled dense coding. In this article we theoretically show that multimode optical parametric oscillators can produce a great variety of such states by an appropriate control of the parametric interaction, what we accomplish by tailoring either the spatio-temporal shape of the pump, or the geometry of the nonlinear medium. Specific examples involving currently available optical parametric oscillators are given, hence showing that our ideas are within reach of present technology.

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. Nonclassical Effects in Quantum Optics, edited by P. Meystre, D.F. Walls (American Institute of Physics, New York, 1991)

  2. H. Bachor, T. Ralph, A Guide to Experiments in Quantum Optics (Wiley, 2004)

  3. K. Goda, O. Miyakawa, E.E. Mikhailov, S. Saraf, R. Adhikari, K. McKenzie, R. Ward, S. Vass, A.J. Weinstein, N. Mavalvala, Nat. Phys. 4, 472 (2008)

    Article  Google Scholar 

  4. H. Vahlbruch, S. Chelkowski, B. Hage, A. Franzen, K. Danzmann, R. Schnabel, Phys. Rev. Lett. 95, 211102 (2005)

    Article  ADS  Google Scholar 

  5. N. Treps, U. Andersen, B. Buchler, P.K. Lam, A. Maître, H.-A. Bachor, C. Fabre, Phys. Rev. Lett. 88, 203601 (2002)

    Article  ADS  Google Scholar 

  6. N. Treps, N. Grosse, W.P. Bowen, C. Fabre, H.-A. Bachor, P.K. Lam, Science 301, 940 (2003)

    Article  ADS  Google Scholar 

  7. S.L. Braunstein, P. van Loock, Rev. Mod. Phys. 77, 513 (2005)

    Article  ADS  MATH  Google Scholar 

  8. C. Weedbrook, S. Pirandola, R. Garcia-Patrón, N.J. Cerf, T.C. Ralph, J.H. Shapiro, S. Lloyd, Rev. Mod. Phys. 84, 621 (2012)

    Article  ADS  Google Scholar 

  9. A. Furusawa, J.L. Sørensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, E.S. Polzik, Science 282, 706 (1998)

    Article  ADS  Google Scholar 

  10. P. van Loock, S.L. Braunstein, Phys. Rev. Lett. 84, 3482 (2000)

    Article  ADS  Google Scholar 

  11. M. Mehmet, H. Vahlbruch, N. Lastzka, K. Danzmann, R. Schnabel, Phys. Rev. A 81, 013814 (2010)

    Article  ADS  Google Scholar 

  12. H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gossler, K. Danzmann, R. Schnabel, Phys. Rev. Lett. 100, 033602 (2008)

    Article  ADS  Google Scholar 

  13. Y. Takeno, M. Yukawa, H. Yonezawa, A. Furusawa, Opt. Express 15, 4321 (2007)

    Article  ADS  Google Scholar 

  14. P. van Loock, S.L. Braunstein, Phys. Rev. Lett. 87, 247901 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  15. S. Koike, H. Takahashi, H. Yonezawa, N. Takei, S.L. Braunstein, T. Aoki, A. Furusawa, Phys. Rev. Lett. 96, 060504 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. N.C. Menicucci, P. van Loock, M. Gu, C. Weedbrook, T.C. Ralph, M.A. Nielsen, Phys. Rev. Lett. 97, 110501 (2006)

    Article  ADS  Google Scholar 

  20. N.C. Menicucci, S.T. Flammia, O. Pfister, Phys. Rev. Lett. 101, 130501 (2008)

    Article  ADS  Google Scholar 

  21. M. Gu, C. Weedbrook, N.C. Menicucci, T.C. Ralph, P. van Loock, Phys. Rev. A 79, 062318 (2009)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. X. Su, A. Tan, X. Jia, J. Zhang, C. Xie, K. Peng, Phys. Rev. Lett. 98, 070502 (2007)

    Article  ADS  Google Scholar 

  24. M. Yukawa, R. Ukai, P. van Loock, A. Furusawa, Phys. Rev. A 78, 012301 (2008)

    Article  ADS  Google Scholar 

  25. K.N. Cassemiro, A.S. Villar, Phys. Rev. A 77, 022311 (2008)

    Article  ADS  Google Scholar 

  26. O. Pfister, S. Feng, G. Jennings, R. Pooser, D. Xie, Phys. Rev. A 70, 020302(R) (2004)

    Article  ADS  Google Scholar 

  27. A.S. Bradley, M.K. Olsen, O. Pfister, R.C. Pooser, Phys. Rev. A 72, 053805 (2005)

    Article  ADS  Google Scholar 

  28. N.C. Menicucci, S.T. Flammia, H. Zaidi, O. Pfister, Phys. Rev. A 76, 010302(R) (2007)

    MathSciNet  ADS  Google Scholar 

  29. M. Pysher, Y. Miwa, R. Shahrokhshahi, R. Bloomer, O. Pfister, Phys. Rev. Lett. 107, 030505 (2011)

    Article  ADS  Google Scholar 

  30. N.C. Menicucci, X. Ma, T.C. Ralph, Phys. Rev. Lett. 104, 250503 (2010)

    Article  ADS  Google Scholar 

  31. L. Lopez, S. Gigan, N. Treps, A. Maître, C. Fabre, A. Gatti, Phys. Rev. A 72, 013806 (2005)

    Article  ADS  Google Scholar 

  32. I. Pérez-Arjona, E. Roldán, G.J. de Valcárcel, Europhys. Lett. 74, 247 (2006)

    Article  ADS  Google Scholar 

  33. I. Pérez-Arjona, E. Roldán, G.J. de Valcárcel, Phys. Rev. A 75, 063802 (2007)

    Article  ADS  Google Scholar 

  34. L. Lopez, N. Treps, B. Chalopin, C. Fabre, A. Maître, Phys. Rev. Lett. 100, 013604 (2008)

    Article  ADS  Google Scholar 

  35. C. Navarrete-Benlloch, E. Roldán, G.J. de Valcárcel, Phys. Rev. Lett. 100, 203601 (2008)

    Article  ADS  Google Scholar 

  36. L. Lopez, A. Rivière de la Souchère, C. Fabre, A. Maître, N. Treps, Phys. Rev. A 80, 043816 (2009)

    Article  ADS  Google Scholar 

  37. C. Navarrete-Benlloch, G.J. de Valcárcel, E. Roldán, Phys. Rev. A 79, 043820 (2009)

    Article  ADS  Google Scholar 

  38. M. Lassen, G. Leuchs, U.L. Andersen, Phys. Rev. Lett. 102, 163602 (2009)

    Article  ADS  Google Scholar 

  39. J. Janousek, K. Wagner, J.-F. Morizur, N. Treps, P.K. Lam, C.C. Harb, H.-A. Bachor, Nat. Photon. 3, 399 (2009)

    Article  ADS  Google Scholar 

  40. L. Lopez, B. Chalopin, A. Rivière de la Souchère, C. Fabre, A. Maître, N. Treps, Phys. Rev. A 80, 043816 (2009)

    Article  ADS  Google Scholar 

  41. C. Navarrete-Benlloch, A. Romanelli, E. Roldán, G.J. de Valcárcel, Phys. Rev. A 81, 043829 (2010)

    Article  ADS  Google Scholar 

  42. B. Chalopin, F. Scazza, C. Fabre, N. Treps, Phys. Rev. A 81, 061804(R) (2010)

    Article  ADS  Google Scholar 

  43. G.J. de Valcárcel, G. Patera, N. Treps, C. Fabre, Phys. Rev. A 74, 061801 (2006)

    Article  ADS  Google Scholar 

  44. G. Patera, N. Treps, C. Fabre, G.J. de Valcárcel, Eur. Phys. J. D 56, 123 (2010)

    Article  ADS  Google Scholar 

  45. O. Pinel, Pu Jian, R. Medeiros, B. Jinxia Feng, B. Chalopin, C. Fabre, N. Treps, Phys. Rev. Lett. 108, 083601 (2012)

    Article  ADS  Google Scholar 

  46. C. Navarrete-Benlloch, E. Roldán, G.J. de Valcárcel, Phys. Rev. A 83, 043812 (2011)

    Article  ADS  Google Scholar 

  47. H. Suchowski, A. Natan, B.D. Bruner, Y. Silberberg, J. Phys. B: At. Mol. Opt. Phys. 41, 074008 (2008)

    Article  ADS  Google Scholar 

  48. P. Brumer, M. Shapiro, Principles of the Quantum Control of Molecular Processes (Wiley, New York, 2003)

  49. W. Wasilewski, A.I. Lvovsky, K. Banaszek, C. Radzewicz, Phys. Rev. A 73, 063819 (2006)

    Article  ADS  Google Scholar 

  50. A. Gatti, E. Brambilla, L. Caspani, O. Jedrkiewicz, L.A. Lugiato, Phys. Rev. Lett. 102, 223601 (2009)

    Article  ADS  Google Scholar 

  51. F.V. Garcia-Ferrer, C. Navarrete-Benlloch, G.J. de Valcárcel, E. Roldán, IEEE J. Quant. Electron. 45, 1404 (2009)

    Article  ADS  Google Scholar 

  52. B. Chalopin, A. Chiummo, C. Fabre, A. Maître, N. Treps, Opt. Express 18, 8033 (2010)

    Article  Google Scholar 

  53. R.S. Bennink, R.W. Boyd, Phys. Rev. A 66, 053815 (2002)

    Article  ADS  Google Scholar 

  54. C.K. Law, Phys. Rev. Lett. 84, 5304 (2000)

    Article  ADS  Google Scholar 

  55. S.L. Braunstein, Phys. Rev. A 71, 055801 (2005)

    Article  ADS  Google Scholar 

  56. R. Courant, D. Hilbert, Methods of Mathematical Physics, 1st edn. (Wiley, New York, 1953), Chap. 3, p. 112

  57. A.M. Weiner, Rev. Sci. Instrum. 71, 1929 (2000)

    Article  ADS  Google Scholar 

  58. N.C. Menicucci, S.T. Flammia, P. van Loock, Phys. Rev. A 83, 042335 (2011)

    Article  ADS  Google Scholar 

  59. P. van Loock, A. Furusawa, Phys. Rev. A 67, 052315 (2003)

    Article  ADS  Google Scholar 

  60. S.L. Braunstein, Nature 394, 97 (1998)

    Google Scholar 

  61. V. Delaubert, Ph.D. thesis, ANU, CNRS, 2007

  62. J.-F. Morizur, S. Armstrong, N. Treps, J. Janousek, H.-A. Bachor, Eur. Phys. J. D 61, 237 (2011)

    Article  ADS  Google Scholar 

  63. B. Brecht, A. Eckstein, A. Christ, H. Suche, C. Silberhorn, New J. Phys. 13, 065029 (2011)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Physique des Lasers, Atomes et Molécules, Université Lille 1, 59655, Villeneuve d’Ascq Cedex, France

    G. Patera

  2. Departament d’Òptica, Universitat de València, Dr. Moliner 50, 46100, Burjassot, Spain

    C. Navarrete-Benlloch & G.J. de Valcárcel

  3. Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, 85748, Garching, Germany

    C. Navarrete-Benlloch

  4. Laboratoire Kastler Brossel, Université Pierre et Marie Curie-Paris 6, ENS, CNRS, 4 place Jussieu CC74, 75252, Paris Cedex 05, France

    C. Fabre

Authors
  1. G. Patera
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Navarrete-Benlloch
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G.J. de Valcárcel
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. C. Fabre
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. Patera.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Patera, G., Navarrete-Benlloch, C., de Valcárcel, G. et al. Quantum coherent control of highly multipartite continuous-variable entangled states by tailoring parametric interactions. Eur. Phys. J. D 66, 241 (2012). https://doi.org/10.1140/epjd/e2012-30036-2

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2012-30036-2

Keywords

Search

Navigation