Optics and Spectroscopy

, Volume 108, Issue 2, pp 197–205 | Cite as

Characterizing nonclassicality and entanglement

Quantum Informatics. Entangled States
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Abstract

In Quantum Optics, the widely accepted definition of nonclassicality is based on the P function of Glauber and Sudarshan. When it fails to be interpreted as a classical probability density, the corresponding quantum state is said to be a nonclassical one. Here we present the first reconstruction of a nonclassical P function of a single-photon added thermal state. We also consider the nonclassical properties of general spacegtime dependent correlation functions of radiation fields. For the detection of these correlation functions, a balanced homodyne correlation technique was proposed. It is shown that the measurable correlation functions also allow one to completely characterize bipartite entangled quantum states with a negative partial transposition. Finally, we present a method for identifying general bipartite entanglement for continuous variables.

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References

  1. 1.
    E. Schrödinger, Naturwiss. 14, 664 (1926).CrossRefADSGoogle Scholar
  2. 2.
    E. C. G. Sudarshan, Phys. Rev. Lett. 10, 227 (1963).CrossRefMathSciNetADSGoogle Scholar
  3. 3.
    R. J. Glauber, Phys. Rev. 131, 2766 (1963).CrossRefMathSciNetADSGoogle Scholar
  4. 4.
    U. M. Titulaer and R. J. Glauber, Phys. Rev. 140, B676 (1965).CrossRefMathSciNetADSGoogle Scholar
  5. 5.
    T. Richter and W. Vogel, Phys. Rev. Lett. 89, 283601 (2002).CrossRefADSGoogle Scholar
  6. 6.
    W. Vogel, Phys. Rev. Lett. 84, 1849 (2000).MATHCrossRefMathSciNetADSGoogle Scholar
  7. 7.
    K. Vogel and H. Risken, Phys. Rev. A 40, 2847 (1989).CrossRefADSGoogle Scholar
  8. 8.
    A. I. Lvovsky and J. H. Shapiro, Phys. Rev. A 65, 033830 (2002).CrossRefADSGoogle Scholar
  9. 9.
    A. Zavatta, V. Parigi, and M. Bellini, Phys. Rev. A 75, 052106 (2007).CrossRefADSGoogle Scholar
  10. 10.
    T. Kiesel, W. Vogel, V. Parigi, A. Zavatta, and M. Bellini, Phys. Rev. A 78, 021804(R). (2008).CrossRefADSGoogle Scholar
  11. 11.
    A.J. Jerri, Integral and Discrete Transforms with Applications and Error Analysis (Marcel Dekker, New York, 1992).MATHGoogle Scholar
  12. 12.
    L. Mandel, Phys. Scr. T 12, 34 (1986).CrossRefADSGoogle Scholar
  13. 13.
    W. Vogel and J. Grabow, Phys. Rev. A 47, 4227 (1993).CrossRefADSGoogle Scholar
  14. 14.
    J.H. Kimble, M. Dagenais, and L. Mandel, Phys. Rev. Lett. 39, 691 (1977).CrossRefADSGoogle Scholar
  15. 15.
    W. Vogel, Phys. Rev. Lett. 100, 013605 (2008).CrossRefADSGoogle Scholar
  16. 16.
    E. Shchukin and W. Vogel, Phys. Rev. Lett. 96, 200403 (2006).CrossRefADSGoogle Scholar
  17. 17.
    A. Einstein, N. Rosen, and B. Podolsky, Phys. Rev. 47, 777 (1935).MATHCrossRefADSGoogle Scholar
  18. 18.
    E. Schrödinger, Naturwiss. 23, 807 (1935).CrossRefADSGoogle Scholar
  19. 19.
    R. F. Werner, Phys. Rev. A 40, 4277 (1989).CrossRefADSGoogle Scholar
  20. 20.
    M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996).MATHCrossRefMathSciNetADSGoogle Scholar
  21. 21.
    A. Peres, Phys. Rev. Lett. 77, 1413 (1996).MATHCrossRefMathSciNetADSGoogle Scholar
  22. 22.
    E. Shchukin and W. Vogel, Phys. Rev. Lett. 95, 230502 (2005).CrossRefADSGoogle Scholar
  23. 23.
    M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A 62, 052310 (2000).CrossRefADSGoogle Scholar
  24. 24.
    J. Sperling and W. Vogel, Phys. Rev. A 79, 022318 (2009).CrossRefMathSciNetADSGoogle Scholar
  25. 25.
    M. A. Nielson and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000).Google Scholar
  26. 26.
    J. Sperling and W. Vogel, Phys. Rev. A 79, 052313 (2009).CrossRefMathSciNetADSGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Arbeitsgruppe Quantenoptik, Institut für PhysikUniversität RostockRostockGermany

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