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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 9 — May. 5, 2014
  • pp: 10898–10905

Remote state preparation of three-dimensional optical vortices

Ming Su and Lixiang Chen  »View Author Affiliations

Optics Express, Vol. 22, Issue 9, pp. 10898-10905 (2014)

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We propose a feasible scheme to remotely prepare three-dimensional (3D) optical vortex lines. Our scheme relies on the complete description of high-dimensional orbital angular momentum (OAM) entanglement in terms of the Laguerre-Gaussian modes. It is theoretically demonstrated that by simply changing the pump beam waist, we can remotely prepare the target photons in the vortex states of 3D interesting morphology, appearing as twisted vortex strands, separated vortex loops, and vortex link or knot. Furthermore, we employ the biphoton Klyshko picture to illustrate the conservation law of the OAM index and the spreading effect of the radial mode index p, where the Schmidt numbers are calculated to show the high-dimensional capacity of the quantum channels involved in the present remote state preparation.

© 2014 Optical Society of America

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(050.4865) Diffraction and gratings : Optical vortices
(270.5585) Quantum optics : Quantum information and processing
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Quantum Optics

Original Manuscript: February 19, 2014
Revised Manuscript: April 8, 2014
Manuscript Accepted: April 23, 2014
Published: April 29, 2014

Ming Su and Lixiang Chen, "Remote state preparation of three-dimensional optical vortices," Opt. Express 22, 10898-10905 (2014)

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  1. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W. K. Wootters, “Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993). [CrossRef] [PubMed]
  2. C. H. Bennett, D. P. DiVincenzo, P. W. Shor, J. A. Smolin, B. M. Terhal, W. K. Wootters, “Remote state preparation,” Phys. Rev. Lett. 87, 077902 (2001). [CrossRef] [PubMed]
  3. H.-K. Lo, “Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity,” Phys. Rev. A 62, 012313 (2000). [CrossRef]
  4. A. K. Pati, “Minimum classical bit for remote preparation and measurement of a qubit,” Phys. Rev. A 63, 014302 (2000). [CrossRef]
  5. S. A. Babichev, B. Brezger, A. I. Lvovsky, “Remote preparation of a single-mode photonic qubit by measuring field quadrature noise,” Phys. Rev. Lett. 92, 047903 (2004). [CrossRef] [PubMed]
  6. I. Devetak, T. Berger, “Low-entanglement remote state preparation,” Phys. Rev. Lett. 87, 197901 (2001). [CrossRef] [PubMed]
  7. D. W. Berry, B. C. Sanders, “Optimal remote state preparation,” Phys. Rev. Lett. 90, 057901 (2003). [CrossRef] [PubMed]
  8. B. Zeng, P. Zhang, “Remote-state preparation in higher dimension and the parallelizable manifold sn−1,” Phys. Rev. A 65, 022316 (2002). [CrossRef]
  9. Z. Kurucz, P. Adam, Z. Kis, J. Janszky, “Continuous variable remote state preparation,” Phys. Rev. A 72, 052315 (2005). [CrossRef]
  10. N. A. Peters, J. T. Barreiro, M. E. Goggin, T.-C. Wei, P. G. Kwiat, “Remote state preparation: Arbitrary remote control of photon polarization,” Phys. Rev. Lett. 94, 150502 (2005). [CrossRef] [PubMed]
  11. J. T. Barreiro, T.-C. Wei, P. G. Kwiat, “Remote preparation of single-photon “hybrid” entangled and vector-polarization states,” Phys. Rev. Lett. 105, 030407 (2010). [CrossRef]
  12. M. R. Dennis, K. O’Holleran, M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 53, 293 (2009). [CrossRef]
  13. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman, “Orbital angular momentum of light and the transformation of laguerre-gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992). [CrossRef] [PubMed]
  14. M. Berry, M. Dennis, “Knotted and linked phase singularities in monochromatic waves,” Proc. Roy. Soc. A 457, 2251–2263 (2001). [CrossRef]
  15. M. Berry, M. Dennis, “Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+ 1 spacetime,” J. Phys. A: Math. Gen. 34, 8877 (2001). [CrossRef]
  16. J. Leach, M. Dennis, J. Courtial, M. Padgett, “Vortex knots in light,” New J. Phys. 7, 55 (2005). [CrossRef]
  17. J. Leach, M. R. Dennis, J. Courtial, M. J. Padgett, “Laser beams: knotted threads of darkness,” Nature 432, 165 (2004). [CrossRef] [PubMed]
  18. M. R. Dennis, R. P. King, B. Jack, K. O’Holleran, M. J. Padgett, “Isolated optical vortex knots,” Nat. Phys. 6, 118–121 (2010). [CrossRef]
  19. J. Romero, J. Leach, B. Jack, M. R. Dennis, S. Franke-Arnold, S. M. Barnett, M. J. Padgett, “Entangled optical vortex links,” Phys. Rev. Lett. 106, 100407 (2011). [CrossRef] [PubMed]
  20. J. P. Torres, Y. Deyanova, L. Torner, G. Molina-Terriza, “Preparation of engineered two-photon entangled states for multidimensional quantum information,” Phys. Rev. A 67, 052313 (2003). [CrossRef]
  21. F. M. Miatto, A. M. Yao, S. M. Barnett, “Full characterization of the quantum spiral bandwidth of entangled biphotons,” Phys. Rev. A 83, 033816 (2011). [CrossRef]
  22. A. M. Yao, “Angular momentum decomposition of entangled photons with an arbitrary pump,” New J. Phys. 13, 053048 (2011). [CrossRef]
  23. H. Bechmann-Pasquinucci, W. Tittel, “Quantum cryptography using larger alphabets,” Phys. Rev. A 61, 062308 (2000). [CrossRef]
  24. P. B. Dixon, G. A. Howland, J. Schneeloch, J. C. Howell, “Quantum mutual information capacity for high-dimensional entangled states,” Phys. Rev. Lett. 108, 143603 (2012). [CrossRef] [PubMed]
  25. C. K. Law, J. H. Eberly, “Analysis and interpretation of high transverse entanglement in optical parametric down conversion,” Phys. Rev. Lett. 92, 127903 (2004). [CrossRef] [PubMed]
  26. J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, J. P. Woerdman, “Angular phase-plate analyzers for measuring the dimensionality of multimode fields,” Phys. Rev. A 77, 033845 (2008). [CrossRef]
  27. M. D’Angelo, Y. Shih, “Quantum imaging,” Laser Phys. Lett. 2, 567–596 (2005). [CrossRef]
  28. L. Chen, J. Leach, B. Jack, M. J. Padgett, S. Franke-Arnold, W. She, “High-dimensional quantum nature of ghost angular Young’s diffraction,” Phys. Rev. A 82, 033822 (2010). [CrossRef]
  29. L. Chen, J. Lei, J. Romero, “Quantum digital spiral imaging,” Light: Sci. Appl. 3, e153 (2014). [CrossRef]

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