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Fourier relationship between the angle and angular momentum of entangled photons

Jha, A.K. and Jack, B. and Yao, E.Z. and Leach, J. and Boyd, R.W. and Buller, G.S. and Barnett, S.M. and Franke-Arnold, S. (2008) Fourier relationship between the angle and angular momentum of entangled photons. Physical Review A, 78 (4). 043810-043810. ISSN 1094-1622

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We study the Fourier relationship between angle and orbital angular momentum of entangled photons. Spatial light modulators allow us to define and control the spatial mode measurement state. We observe strong quantum correlations, establishing that angular position and momentum distributions between the photons are related as conjugate Fourier pairs.