Time-resolved homodyne characterization of individual quadrature-entangled pulses

  • J. Wenger
  • A. Ourjoumtsev
  • R. Tualle-Brouri
  • P. Grangier
Quantum Optics and Quantum Information

Abstract.

We describe a simple and efficient set-up to generate and characterize femtosecond quadrature-entangled pulses. Quantum correlations equivalent to about 2.5 dB squeezing are efficiently and easily reached using the non-degenerate parametric amplification of femtosecond pulses through a single-pass in a thin (100 μm) potassium niobate crystal. The entangled pulses are then individually sampled to characterize the non-separability and the entropy of formation of the states. The complete experiment is analysed in the time-domain, from the pulsed source of quadrature entanglement to the time-resolved homodyne detection. This particularity allows for applications in quantum communication protocols using continuous-variable entanglement.

References

  1. A. Einstein, B. Poldolsky, N. Rosen, Phys. Rev. 47, 777 (1935) CrossRefMATHGoogle Scholar
  2. J.S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1988) Google Scholar
  3. M.A. Nielsen, I. Chuang, Quantum computation and quantum information (Cambridge University Press, Cambridge, 2000) Google Scholar
  4. S.L. Braunstein, A.K. Pati, Quantum Information with Continuous Variables (Kluwer Academic, Dordrecht, 2003) Google Scholar
  5. C.E. Shannon, Bell Syst. Tech. J. 27, 623 (1948) Google Scholar
  6. F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N.J. Cerf, Ph. Grangier, Nature 421, 238 (2003) CrossRefGoogle Scholar
  7. Z.Y. Ou, S.F. Pereira, H.J. Kimble, K.C. Peng, Phys. Rev. Lett. 68, 3663 (1992) CrossRefGoogle Scholar
  8. Z.Y. Ou, S.F. Pereira, H.J. Kimble, Appl. Phys. B 55, 265 (1992) Google Scholar
  9. A. Furusawa, J. Sorensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, E. Polzik, Science 282, 706 (1998) CrossRefGoogle Scholar
  10. Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, K. Peng, Phys. Rev. A 62, 023813 (2000) CrossRefGoogle Scholar
  11. C. Schori, J.L. Sørensen, E.S. Polzik, Phys. Rev. A 66, 033802 (2002) Google Scholar
  12. W.P. Bowen, R. Schnabel, P.K. Lam, T.C. Ralph, Phys. Rev. Lett. 90, 043601 (2004) Google Scholar
  13. W.P. Bowen, R. Schnabel, P.K. Lam, T.C. Ralph, Phys. Rev. A 69, 012304 (2004) Google Scholar
  14. J. Mizuno, K. Wakui, A. Furusawa, M. Sasaki, preprint arXiv:quant-ph/0402040 (2004) Google Scholar
  15. L. Longchambon, J. Laurat, T. Coudreau, C. Fabre, Eur. Phys. J. D 30, 287 (2004) Google Scholar
  16. J. Laurat, T. Coudreau, G. Keller, N. Treps, C. Fabre, Phys. Rev. A 70, 042315 (2004) Google Scholar
  17. W.P. Bowen, N. Treps, R. Schnabel, P.K. Lam, Phys. Rev. Lett. 89, 253601 (2002) Google Scholar
  18. V. Josse, A. Dantan, A. Bramati, M. Pinard, E. Giacobino, Phys. Rev. Lett. 92, 123601 (2004) Google Scholar
  19. C. Silberhorn, P.K. Lam, O. Weiss, F. Konig, N. Korolkova, G. Leuchs, Phys. Rev. Lett. 86, 4267 (2001) CrossRefGoogle Scholar
  20. O. Glöckl, J. Heersink, N. Korolkova, G. Leuchs, S. Lorenz, J. Opt. B: Quant. Semiclass. Opt. 5, S492 (2003) Google Scholar
  21. J. Wenger, R. Tualle-Brouri, P. Grangier, Opt. Lett. 29, 1267 (2004) Google Scholar
  22. M.D. Reid, Phys. Rev. A 40, 913 (1989) CrossRefGoogle Scholar
  23. D.F. Walls, G.J. Milburn, Quantum Optics (Springer, Berlin, 1994) Google Scholar
  24. L.M. Duan, G. Giedke, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 84, 2722 (2000) CrossRefGoogle Scholar
  25. R. Simon, Phys. Rev. Lett. 84, 2726 (2000) CrossRefGoogle Scholar
  26. V. Vedral, M.B. Plenio, M.A. Rippin, P.L. Knight, Phys. Rev. Lett. 78, 2275 (1997) Google Scholar
  27. J. Eisert, M.B. Plenio, Int. J. Quant. Inf. 1, 479 (2003) Google Scholar
  28. W.K. Wooters, Quant. Inf. Comput. 1, 27 (2001) Google Scholar
  29. G. Giedke, M.M. Wolf, O. Kruger, R.F. Werner, J.I. Cirac, Phys. Rev. Lett. 91, 107901 (2003) Google Scholar
  30. S.L. Braunstein, H.J. Kimble, Phys. Rev. A 61, 042302 (2000) CrossRefGoogle Scholar
  31. T.C. Ralph, E.H. Huntington, Phys. Rev. A 66, 042321 (2002) Google Scholar
  32. A.M. Weiner, A.M. Kan’an, D.E. Leaird, Opt. Lett. 23, 1441 (1998) Google Scholar
  33. Y.Q. Li, D. Guzun, M. Xiao, Opt. Lett. 24, 987 (1999) Google Scholar
  34. R. Loudon, Quantum Optics (Springer, Berlin, 2000) Google Scholar
  35. D.T. Smithey, M. Beck, M.G. Raymer, A. Faridani, Phys. Rev. Lett. 70, 1244 (1993) Google Scholar
  36. H. Hansen, T. Aichele, C. Hettich, P. Lodahl, A.I. Lvovsky, J. Mlynek, S. Schiller, Opt. Lett. 26, 1430 (2001) Google Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2004

Authors and Affiliations

  • J. Wenger
    • 1
  • A. Ourjoumtsev
    • 1
  • R. Tualle-Brouri
    • 1
  • P. Grangier
    • 1
  1. 1.Laboratoire Charles Fabry de l’Institut d’Optique, CNRS UMR 8501OrsayFrance

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