Detection of anyon's braiding and identification of anyon entangled states in optical microcavities

In this paper, a simulation of anyon states in a composite system of quantum dots and optical microcavities is introduced. We construct a novel quantum gate, the braiding detecting gate (BDG), by making use of interactions between the quantum-dot electron spins in optical microcavities and photons to detect the dynamic braiding operation of anyons. Additionally, by means of the BDGs, we also present a protocol to distinguish different entangled states of anyons.