Precise quantum tomography of photon pairs with entangled orbital angular momentum

B. Jack, J. Leach, H. Ritsch, S.M. Barnett, M.J. Padgett, S. Franke-Arnold

Research output: Contribution to journalArticle

61 Citations (Scopus)

Abstract

We report a high fidelity tomographic reconstruction of the quantum state of photon pairs generated by parametric down-conversion with orbital angular momentum (OAM) entanglement. Our tomography method allows us to estimate an upper and lower bound for the entanglement between the down-converted photons. We investigate the two-dimensional state subspace defined by the OAM states ± and superpositions thereof, with =1, 2, ..., 30. We find that the reconstructed density matrix, even for OAMs up to around =20, is close to that of a maximally entangled Bell state with a fidelity in the range between F=0.979 and F=0.814. This demonstrates that, although the single count-rate diminishes with increasing , entanglement persists in a large dimensional state space.
LanguageEnglish
Article number103024
Number of pages12
JournalNew Journal of Physics
Volume11
DOIs
Publication statusPublished - 12 Oct 2009

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angular momentum
tomography
orbitals
photons
bells
estimates

Keywords

  • quantum tomography
  • photon pairs
  • orbital angular momentum
  • parametric down-conversion
  • entanglement

Cite this

Jack, B., Leach, J., Ritsch, H., Barnett, S. M., Padgett, M. J., & Franke-Arnold, S. (2009). Precise quantum tomography of photon pairs with entangled orbital angular momentum. New Journal of Physics, 11, [103024]. https://doi.org/10.1088/1367-2630/11/10/103024
Jack, B. ; Leach, J. ; Ritsch, H. ; Barnett, S.M. ; Padgett, M.J. ; Franke-Arnold, S. / Precise quantum tomography of photon pairs with entangled orbital angular momentum. In: New Journal of Physics. 2009 ; Vol. 11.
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Jack, B, Leach, J, Ritsch, H, Barnett, SM, Padgett, MJ & Franke-Arnold, S 2009, 'Precise quantum tomography of photon pairs with entangled orbital angular momentum' New Journal of Physics, vol. 11, 103024. https://doi.org/10.1088/1367-2630/11/10/103024

Precise quantum tomography of photon pairs with entangled orbital angular momentum. / Jack, B.; Leach, J.; Ritsch, H.; Barnett, S.M.; Padgett, M.J.; Franke-Arnold, S.

In: New Journal of Physics, Vol. 11, 103024, 12.10.2009.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Precise quantum tomography of photon pairs with entangled orbital angular momentum

AU - Jack, B.

AU - Leach, J.

AU - Ritsch, H.

AU - Barnett, S.M.

AU - Padgett, M.J.

AU - Franke-Arnold, S.

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AB - We report a high fidelity tomographic reconstruction of the quantum state of photon pairs generated by parametric down-conversion with orbital angular momentum (OAM) entanglement. Our tomography method allows us to estimate an upper and lower bound for the entanglement between the down-converted photons. We investigate the two-dimensional state subspace defined by the OAM states ± and superpositions thereof, with =1, 2, ..., 30. We find that the reconstructed density matrix, even for OAMs up to around =20, is close to that of a maximally entangled Bell state with a fidelity in the range between F=0.979 and F=0.814. This demonstrates that, although the single count-rate diminishes with increasing , entanglement persists in a large dimensional state space.

KW - quantum tomography

KW - photon pairs

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