  Whereas anyons are the building blocks in topological quantum computation, it
remains challenging to create and control each anyon individually. Here, we
point out that dissipative dynamics in cavities deterministically deliver
droplets of light in desired fractional quantum Hall states. In these quantum
Hall droplets, both the number and locations of anyons are precisely
controllable without requiring extra potentials to imprint and localize such
quasiparticles. Using the density profile of light, the anyonic statistics is
readily accessible. Moreover, entangling a quantum spin valve with these
quantum Hall droplets establishes a direct readout of the braiding statistics.
Our work unfolds a promising route for quantum optics to solve challenging
problems in quantum Hall physics.
