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

doi:10.1103/PhysRevA.81.043844

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 journal › Article › peer-review

70 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.

Original language	English
Article number	043844
Pages (from-to)	-
Number of pages	5
Journal	Physical Review A
Volume	81
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.81.043844
Publication status	Published - Apr 2010

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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.",

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AU - Yao, A. M.

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AU - Franke-Arnold, S.

AU - Ireland, D. G.

AU - Barnett, S. M.

AU - Padgett, M. J.

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AB - 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.

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

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