Entanglement of the orbital angular momentum states of photons (original) (raw)

References

  1. Schrödinger, E. Die gegenwärtige Situation in der Quantenmechanik. Naturwissenschaften 23, 807–812; 823–828; 844–849 (1935).
    Article Google Scholar
  2. Schrödinger, E. Discussion of probability relations between separated systems. Proc. Camb. Phil. Soc. 31, 555–563 (1935).
    Article Google Scholar
  3. Bouwmeester, D., Pan, J.-W., Daniell, M., Weinfurter, H. & Zeilinger, A. Observation of a three-photon Greenberger-Horne-Zeilinger state. Phys. Rev. Lett. 82, 1345–1349 (1999).
    Article MathSciNet CAS Google Scholar
  4. Pan, J.-W., Bouwmeester, D., Daniell, M., Weinfurter, H. & Zeilinger, A. Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement. Nature 403, 515–519 (2000).
    Article CAS Google Scholar
  5. Sackett, C. A. et al. Experimental entanglement of four particles. Nature 404, 256–259 (2000).
    Article CAS Google Scholar
  6. Pan, J.-W., Daniell, M., Gasparoni, S., Weihs, G. & Zeilinger, A. Experimental demonstration of four-photon entanglement and high-fidelity teleportation. Phys. Rev. Lett. 86, 4435–4438 (2001).
    Article CAS Google Scholar
  7. DiVincenzo, D. P., More, T., Shor, P. W., Smolin, J. A. & Terhal, B. M. Unextendible product bases, uncompletable product bases and bound entanglement. Preprint quant-ph/9908070 at 〈http://xxx.lanl.gov〉 (1999).
  8. Bartlett, S. D., de Guise, H. & Sanders, B. C. Quantum computation with harmonic oscillators. Preprint quant-ph/0011080 at 〈http://xxx.lanl.gov〉 (2000).
  9. Bechmann-Pasquinucci, H. & Peres, A. Quantum cryptography with 3-state systems. Phys. Rev. Lett. 85, 3313–3316 (2000).
    Article MathSciNet CAS Google Scholar
  10. Bechmann-Pasquinucci, H. & Tittel, W. Quantum cryptography using larger alphabets. Phys. Rev. A 61, 62308–62313 (2000).
    Article MathSciNet Google Scholar
  11. Bourennane, M., Karlsson, A. & Björk, G. Quantum key distribution using multilevel encoding. Phys. Rev. A (in the press).
  12. Reck, M., Zeilinger, A., Bernstein, H. J. & Bertani, P. Experimental realization of any discrete unitary operator. Phys. Rev. Lett. 73, 58–61 (1994).
    Article CAS Google Scholar
  13. Zukowski, M., Zeilinger, A. & Horne, M. Realizable higher-dimensional two-particle entanglements via multiport beam splitters. Phys. Rev. A 55, 2564–2579 (1997).
    Article CAS Google Scholar
  14. Reck, M. Quantum Interferometry with Multiports: Entangled Photons in Optical Fibers. Thesis, Univ. Innsbruck (1996).
    Google Scholar
  15. Arnaut, H. H. & Barbosa, G. A. Orbital and angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion. Phys. Rev. Lett. 85, 286–289 (2000).
    Article CAS Google Scholar
  16. Franke-Arnold, S., Barnett, S. M., Padgett, M. J. & Allen, L. Two-photon entanglement of orbital angular momentum states. Phys. Rev. A (in the press).
  17. Allen, L., Beijersbergen, M. W., Spreeuw, R. J. C. & Woerdman, J. P. Orbital angular momentum of light and the transformation of laguerre-gaussian laser modes. Phys. Rev. A 45, 8185–8189 (1992).
    Article CAS Google Scholar
  18. He, H., Fries, M., Heckenberg, N. & Rubinsztein-Dunlop, H. Direct observation of transfer of angular momentum to absorbtive particles from a laser beam with a phase singularity. Phys. Rev. Lett. 75, 826–829 (1995).
    Article CAS Google Scholar
  19. Simpson, N. B., Dholakia, K., Allen, L. & Padgett, M. J. Mechanical equivalence of spin and orbital angular momentum of light: An optical spanner. Opt. Lett. 22, 52–54 (1997).
    Article CAS Google Scholar
  20. Galajda, P. & Ormos, P. Complex micromachines produced and driven by light. Appl. Phys. Lett. 78, 249–251 (2001).
    Article CAS Google Scholar
  21. Friese, M. E. J., Enger, J., Rubinsztein-Dunlop, H. & Heckenberg, N. Optical angular-momentum transfer to trapped absorbing particles. Phys. Rev. A 54, 1593–1596 (1996).
    Article CAS Google Scholar
  22. Bejersbergen, M. W., Allen, L., van der Veen, H. E. L. O. & Woerdman, J. P. Astigmatic laser mode converters and transfer of orbital angular momentum. Opt. Commun. 96, 123–132 (1993).
    Article Google Scholar
  23. Arlt, J., Dholakia, K., Allen, L. & Padgett, M. J. The production of multiringed laguerre-gaussian modes by computer-generated holograms. J. Mod. Opt. 45, 1231–1237 (1998).
    Article CAS Google Scholar
  24. Arlt, J., Dholakia, K., Allen, L. & Padgett, M. Parametric down-conversion for light beams possessing orbital angular momentum. Phys. Rev. A 59, 3950–3952 (1999).
    Article CAS Google Scholar
  25. Kaszlikowski, D., Gnacinski, P., Zukowski, M., Miklaszewski, W. & Zeilinger, A. Violation of local realism by two entangled n-dimensional systems are stronger than for two qubits. Phys. Rev. Lett. 85, 4418–4421 (2000).
    Article CAS Google Scholar

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