“…Correlated photon pairs are typically obtained via spontaneous nonlinear processes, for example, by exploiting spontaneous parametric down conversion (SPDC) in (2) media [4] or spontaneous four-wave mixing (SFMW) in (3) platforms. [5][6][7] Beyond standard bidimensional variables' correlations, such as for polarization, numerous quantum states with large Hilbert spaces have been generated based on these spontaneous processes, such as multicorrelated states, [8][9][10][11][12] multiple photon, [1,13,14] high-dimensional entangled states, [15][16][17][18] hyperentangled systems, [18,19] as well as multiphoton high-dimensional states. [20,21] In addition to spontaneous processes, photon correlations can also be obtained via Figure 1.…”