  High-dimensional quantum states are promising resources for quantum
communication and processing. In this context the frequency degree of freedom
of light combines the advantages of robustness and easy handling with standard
classical telecommunication components. In this work we propose a method to
generate and control the symmetry of broadband biphoton frequency states, based
on the interplay of cavity effects and relative temporal delay between the two
photons of each pair. We demonstrate it using an integrated AlGaAs
semiconductor platform producing quantum frequency combs, working at room
temperature and compliant with electrical injection. These results open
interesting perspectives for the development of massively parallel and
reconfigurable systems for complex quantum operations.
