Management of the Angular Momentum of Light: Preparation of Photons in Multidimensional Vector States of Angular

Abstract
We put forward schemes to prepare photons in multi-dimensional vector states of orbital angular momentum. We show realizable light distributions that yield prescribed states with finite or infinite normal modes. In particular, we show that suitable light vortex-pancakes allow the add-drop of specific vector projections. We suggest that such photons might allow the generation of it engineered quNits in multi-dimensional quantum information systems.

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