Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces

B. Jack, A. M. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. G. Ireland, S. M. Barnett, M. J. Padgett

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

We use spatial light modulators (SLMs) to measure correlations between arbitrary superpositions of orbital angular momentum (OAM) states generated by spontaneous parametric down-conversion. Our technique allows us to fully access a two-dimensional OAM subspace described by a Bloch sphere, within the higher-dimensional OAM Hilbert space. We quantify the entanglement through violations of a Bell-type inequality for pairs of modal superpositions that lie on equatorial, polar, and arbitrary great circles of the Bloch sphere. Our work shows that SLMs can be used to measure arbitrary spatial states with a fidelity sufficient for appropriate quantum information processing systems.

LanguageEnglish
Article number043844
Number of pages5
JournalPhysical Review A
Volume81
Issue number4
DOIs
Publication statusPublished - 30 Apr 2010

Fingerprint

angular momentum
light modulators
orbitals
great circles
Hilbert space
bells

Keywords

  • hidden-variable thesis
  • bell-inequality
  • quantum entanglement
  • local theories
  • light
  • photons
  • violation
  • theorem

Cite this

Jack, B. ; Yao, A. M. ; Leach, J. ; Romero, J. ; Franke-Arnold, S. ; Ireland, D. G. ; Barnett, S. M. ; Padgett, M. J. / Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces. In: Physical Review A. 2010 ; Vol. 81, No. 4.
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Jack, B, Yao, AM, Leach, J, Romero, J, Franke-Arnold, S, Ireland, DG, Barnett, SM & Padgett, MJ 2010, 'Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces' Physical Review A, vol. 81, no. 4, 043844. https://doi.org/10.1103/PhysRevA.81.043844

Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces. / Jack, B.; Yao, A. M.; Leach, J.; Romero, J.; Franke-Arnold, S.; Ireland, D. G.; Barnett, S. M.; Padgett, M. J.

In: Physical Review A, Vol. 81, No. 4, 043844, 30.04.2010.

Research output: Contribution to journalArticle

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KW - quantum entanglement

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