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Optical vortex beams are profiled as helical wavefronts with a phasesingularity carrying an orbital angular momentum (OAM) associated with theirspatial distribution. The transverse intensity distribution of a conventionaloptical vortex has a strong dependence on the carried topological charge.However, perfect optical vortex (POV) beams have their transverse intensitydistribution independent of their charge. Such `size-invariant' POV beams havefound exciting applications in optical manipulation, imaging and communication.In this article, we investigate the use of POV modes in the efficientgeneration of high dimensional quantum states of light. We generate heraldedsingle photons carrying OAM using spontaneous parametric down-conversion (SPDC)of POV beams. We show that the heralding efficiency of the SPDC single photonsgenerated with POV pump is greater than that with normal optical vortex beams.The dimensionality of the two-photon OAM states is increased with POV modes inthe pump and projective measurements using Bessel-Gaussian vortex modes thatgive POV, instead of the Laguerre-Gaussian modes.

Size invariant twisted optical modes for efficient generation of higher dimensional quantum states