Bounds and optimisation of orbital angular momentum bandwidths within parametric down-conversion systems

Miatto, F. M. and Giovannini, D. and Romero, J. and Franke-Arnold, S. and Barnett, S. M. and Padgett, M. J. (2012) Bounds and optimisation of orbital angular momentum bandwidths within parametric down-conversion systems. European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, 66 (7). -. 178. ISSN 1434-6060 (https://doi.org/10.1140/epjd/e2012-20736-x)

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Abstract

The measurement of high-dimensional entangled states of orbital angular momentum prepared by spontaneous parametric down-conversion can be considered in two separate stages: a generation stage and a detection stage. Given a certain number of generated modes, the number of measured modes is determined by the measurement apparatus. We derive a simple relationship between the generation and detection parameters and the number of measured entangled modes.