Skip to main content
Log in

Continuum variable entangled state generated by an asymmetric beam splitter

  • Quantum Optics and Quantum Information
  • Published:
The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics Aims and scope Submit manuscript

Abstract.

For an asymmetric beam-splitter a new kind of entangled state \(\left| \eta ,\theta \right\rangle \) is introduced, we then derive the integration measure with which such states can make up a complete and orthonormal representation in two-mode Fock space. We then show how to use \(\left| \eta ,\theta \right\rangle \) in finding new squeezing operator and new squeezed state, whose generation can relies on the asymmetric beamsplitter.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777 (1935)

    Article  MATH  ADS  Google Scholar 

  • For a review, see e.g., Quantum Computation and Quantum Information Theory, edited by C. Macchiavello, G.M. Palma, A. Zeilinger (World Scientific, 2001)

  • C.H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W.K. Wooters, Phys. Rev. Lett. 70, 1895 (1993)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • S.L. Braunstein, H.J. Kimble, Phys. Rev. Lett. 80, 869 (1998); A. Zelinger, Phys. World 11, 35 (1998)

    Article  ADS  Google Scholar 

  • S. Bose, V. Verdral, P.L. Knight, Phys. Rev. A 57, 822 (1998); G.J. Milburn, S.L. Braunstein, Phys. Rev. A 60, 937 (1999)

    Article  ADS  Google Scholar 

  • A. Furusawa et al., Science 282, 706 (1998); A. Ekert, R. Josza, Rev. Mod. Phys. 68, 733 (1996)

    Article  Google Scholar 

  • A.V. Thapliyal, Phys. Rev. A 59, 3336 (1999); G. Brassard, T. Mor, Lect. Notes Comput. Sci. 1, 1509 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  • Fan Hong-yi, J.R. Klauder, Phys. Rev. A 49, 704 (1994); Fan Hong-yi, Chen Bo-zhan, Phys. Rev. A 53, 2948 (1996); Hong-yi Fan, Phys. Lett. A 286, 81 (2001); Fan Hong-yi, Ye Xiong, Phys. Rev. A 51, 3343 (1995); Hong-yi Fan, Phys. Rev. A 65, 064102 (2002); Hong-yi Fan, Phys. Lett. A 294, 253 (2002)

    Article  ADS  Google Scholar 

  • J. Preskill, Lecture Notes for Physics 229, Quantum Information and Computation (California Institute of Technology, Pasadena, 1998)

  • P.T. Cochrane, G.J. Milburn, Phys. Rev. A 64, 062312 (2001); M.S. Kim, W. Son, V. Bužek, P.L. Knight, Phys. Rev. A 65, 032323 (2001); S.L. Braunstein, G.M. D'Ariano, G.J. Milburn, M.F. Sacchi, Phys. Rev. Lett. 84, 3486 (2000); D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, A. Zeilinger, Nature 390, 575 (1997)

    Article  ADS  Google Scholar 

  • See e.g., L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995) and references therein; R.A. Campos, B.E.A. Saleh, M.C. Teich, Phys. Rev. A 40, 1371 (1989)

    Article  Google Scholar 

  • For a review, see Hong-yi Fan, J. Opt. B: Quant. Semiclass. Opt. 5 R147 (2003)

  • Fan Hong-yi, H.R. Zaidi, J.R. Klauder, Phys. Rev. D 35 1831 (1987); Fan Hong-yi, Phys. Rev. A 41, 1526 (1990)

    Article  ADS  Google Scholar 

  • Hong-yi Fan, A. Wunsche, J. Opt. B: Quant. Semiclass. Opt. 7, R88 (2005)

  • See e.g., R. Loudon, P.L. Knight, J. Mod. Opt. 34, 709 (1987); G.M. D'Ariano, M.G. Rassetti, J. Katriel, A.I. Solomon, Squeezed and Nonclassical Light, edited by P. Tombesi, E.R. Pike (Plenum, New York, 1989), p. 301; V. Bužek, J. Mod. Opt. 37, 303 (1990); for a very recent review, see V.V. Dodonov, J. Opt. B: Quant. Semiclass. Opt. 4, R1 (2002)

    MATH  MathSciNet  ADS  Google Scholar 

  • Fan Hong-yi, Fan Yue, Phys. Rev. A 54, 958 (1996)

    Article  ADS  Google Scholar 

  • P.A.M. Dirac, The Principles of Quantum Mechanics, 4th edn. (Oxford University Press, 1958)

  • Hong-yi Fan, Gui-chuan Yu, Phys. Rev. A 65, 033829 (2002)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y.-L. Yang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fan, HY., Yang, YL. Continuum variable entangled state generated by an asymmetric beam splitter. Eur. Phys. J. D 39, 107–113 (2006). https://doi.org/10.1140/epjd/e2006-00071-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2006-00071-9

PACS.

Navigation