For the experimental setups of Fig. 2, a pump laser with λ = 397.5 nm was produced by a second harmonic generation process from a Ti:Sapphire mode locked laser with a repetition rate of 76 MHz. Photon pairs entangled in the polarization degree of freedom were generated by exploiting a type II SPDC in 2-mm-thick β-barium borate crystals. The photons generated by SPDC are filtered in wavelength and spatial mode by using narrow band interference filters and SMFs, respectively. After coupling into SMFs, the spatial mode becomes a fundamental Gaussian mode (TEM00) with a null-associated OAM.

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