We present our results on the generation and manipulation of high dimensional quantum frequency states of light generated with AlGaAs chips working in the telecom band at room temperature. In the case of devices based on a collinear phase matching scheme we propose a method to generate and control the symmetry of broadband biphoton frequency combs, exploiting the interplay of cavity effects and relative temporal delay between the two photons of each pair. In the case of devices based on a transverse pump configuration we demonstrate that engineering the spatial properties of the pump beam allows to produce frequency-anticorrelated, correlated and separable states, and to control the parity of the biphoton wavefunction to induce either bosonic or fermionic particle statistics. These results open promising perspectives for communication and computation protocols exploiting high-dimensional quantum states, as well as for the quantum simulation of fermionic problems with photons on an integrated platform.
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