  Anyons, particles displaying a fractional exchange statistics intermediate
between bosons and fermions, play a central role in the fractional quantum Hall
effect and various spin lattice models, and have been proposed for topological
quantum computing schemes due to their resilience to noise. Here we use
parametric down-conversion in an integrated semiconductor chip to generate
biphoton states simulating anyonic particle statistics, in a reconfigurable
manner. Our scheme exploits the frequency entanglement of the photon pairs,
which is directly controlled through the spatial shaping of the pump beam.
These results, demonstrated at room temperature and telecom wavelength on a
chip-integrated platform, pave the way to the practical implementation of
quantum simulation tasks with tailored particle statistics.
