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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 29, Iss. 8 — Aug. 1, 2012
  • pp: 2090–2098

Quantum holographic teleportation of entangled two-color optical images

Mikhail Yu. Saygin, Anatoly S. Chirkin, and Mikhail I. Kolobov  »View Author Affiliations


JOSA B, Vol. 29, Issue 8, pp. 2090-2098 (2012)
http://dx.doi.org/10.1364/JOSAB.29.002090


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Abstract

We introduce and theoretically investigate a scheme for teleportation of two-frequency entangled optical images in which the quantum channel is formed by four-frequency multimode states, generated in a single nonlinear photonic crystal by coupled parametric interactions. We study in detail the performance of the scheme. Namely, we evaluate its fidelity and the spatial-frequency spectra of the quadrature components characterizing the deterioration of the entanglement in the initial images due to the teleportation process. We analyze the influence of the spatial bandwidth of entanglement on the fidelity of teleportation. We investigate the performance of the scheme both in the near and the far diffraction field. Our analysis suggests that bandwidth matching of the quantum channel field with that of the images is generally necessary for high-quality teleportation. We show that entangled images are more fragile and more difficult to teleport than their coherent counterparts.

© 2012 Optical Society of America

OCIS Codes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(270.1670) Quantum optics : Coherent optical effects
(190.4975) Nonlinear optics : Parametric processes
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Nonlinear Optics

History
Original Manuscript: April 6, 2012
Manuscript Accepted: June 6, 2012
Published: July 20, 2012

Citation
Mikhail Yu. Saygin, Anatoly S. Chirkin, and Mikhail I. Kolobov, "Quantum holographic teleportation of entangled two-color optical images," J. Opt. Soc. Am. B 29, 2090-2098 (2012)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-29-8-2090


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References

  1. C. Bennett, G. Brassad, C. Crepeau, R. Jozsa, A. Peres, and W. Wotters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993). [CrossRef]
  2. L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994). [CrossRef]
  3. S. L. Braunstein and H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998). [CrossRef]
  4. D. Bouwmeester, J. W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997). [CrossRef]
  5. A. Furusawa, J. L. Sørensen, S. L. Braunstein, C. A. Fuchs, H. J. Kimble, and E. S. Polzik, “Unconditional quantum teleportation,” Science 282, 706–709 (1998). [CrossRef]
  6. X. Jia, X. Su, Q. Pan, J. Gao, C. Xie, and K. Peng, “Experimental demonstration of unconditional entanglement swapping for continuous variables,” Phys. Rev. Lett. 93, 250503 (2004). [CrossRef]
  7. N. Lee, H. Benichi, Y. Takeno, S. Takeda, J. Webb, E. Huntington, and A. Furusawa, “Teleportation of nonclassical wave packets of light,” Science 332, 330–333 (2011). [CrossRef]
  8. I. V. Sokolov, M. I. Kolobov, A. Gatti, and L. A. Lugiato, “Quantum holographic teleportation,” Opt. Commun. 193, 175–180 (2001). [CrossRef]
  9. A. Gatti, I. V. Sokolov, M. I. Kolobov, and L. A. Lugiato, “Quantum fluctuations in holographic teleportation of optical images,” Euro. Phys. J. D 30, 123–135 (2004). [CrossRef]
  10. L. V. Magdenko, I. V. Sokolov, and M. I. Kolobov, “Quantum teleportation of optical images with frequency conversion,” Opt. Spectrosc. 103, 62–66 (2007). [CrossRef]
  11. A. Furusawa and N. Takei, “Quantum teleportation for continuous variables and related quantum information processing,” Phys. Rep. 443, 97–119 (2007). [CrossRef]
  12. S. L. Braunstein and A. K. Pati, Quantum Information with Continuous Variables (Springer, 2003).
  13. N. J. Cerf, G. Leuchs, and E. S. Polzik, Quantum Information with Continuous Variables of Atoms and Light (World Scientific, 2007).
  14. M. I. Kolobov, Quantum Imaging (Springer, 2007).
  15. A. V. Rodionov and A. S. Chirkin, “Entangled photon states in consecutive nonlinear optical interactions,” J. Exp. Theor. Phys. Lett. 79, 253–256 (2004), translated from Pis’ma v Z. Eksp. Teor. Fiz. 79, 311314 (2004). [CrossRef]
  16. A. Ferraro, M. Paris, M. Bondani, A. Allevi, E. Puddi, and A. Adreoni, “Three-mode entanglement by interlinked nonlinear interactions in optical χ(2) media,” J. Opt. Soc. Am. B 21, 1241–1249 (2004). [CrossRef]
  17. A. S. Chirkin and M. Yu. Saigin, “Statistic and information characterization of tripartite entangled states,” J. Russ. Laser Res. 28, 505–515 (2007). [CrossRef]
  18. C. Pannarun, A. Bradley, and M. Olsen, “Tripartite entanglement and threshold properties of coupled intracavity down-conversion and sum-frequency generation,” Phys. Rev. A 76, 063812 (2007). [CrossRef]
  19. A. S. Chirkin, M. Yu. Saygin, and I. V. Shutov, “Parametric amplification at low-frequency pumping and generation of four-mode entangled states,” J. Russ. Laser Res. 29, 336–346 (2008). [CrossRef]
  20. A. S. Chirkin and M. Yu. Saigin, “Four-mode entangled states in coupled nonlinear optical processes and teleportation of two-mode entangled CV state,” Phys. Scr. T135, 014029 (2009). [CrossRef]
  21. A. S. Chirkin and I. V. Shutov, “On the possibility of the nondegenerate parametric amplification of optical waves at low-frequency pumping,” J. Exp. Theor. Phys. Lett. 86, 693–697 (2008), translated from Pis’ma v Z. Eksp. Teor. Fiz. 86, 803807 (2007); [CrossRef]
  22. A. S. Chirkin and I. V. Shutov, “Parametric amplification of light waves at low-frequency pumping in aperiodic nonlinear photonic crystals,” J. Exp. Theor. Phys. 109, 547–556 (2009), translated from Z. Eksp. Teor. Fiz. 136, 639649 (2009). [CrossRef]
  23. L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Inseparability criterion for continuous variable systems,” Phys. Rev. Lett. 84, 2722–2725 (2000). [CrossRef]
  24. M. Yu. Saygin and A. S. Chirkin, “Simultaneous parametric generation and up-conversion of entangled optical images,” J. Exp. Theor. Phys. 111, 11–21 (2010), translated from Pis’ma v Z. Eksp. Teor. Fiz. 138, 16–27 (2010). [CrossRef]
  25. M. Yu. Saygin and A. S. Chirkin, “Quantum properties of optical images in coupled nondegenerate parametric processes,” Opt. Spectrosc. 110, 97–104 (2011), translated from Opt. Spektrosk. 110, 102110 (2011). [CrossRef]

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