Generation of multi-photon Greenberger-Horne-Zeilinger states and cluster states through a quantum-dot spin in optical microcavity

We propose two schemes to generate multi-photon Greenberger-Horne-Zeilinger states and cluster states via a quantum-dot spin in a double-sided optical microcavity. With spin measurement and local Hadamard operation, these entangled states could be determinately generated. The fidelities of our schemes are quite high under the actual conditions. The results of analysis indicate that the schemes can be implemented in both Purcell regime and strong coupling regime with the present technology.