We propose a simple scheme for the generation of four-photon polarization-entangled decoherence-free states by using a pair of spontaneous parametric down-conversions and one tunable beam splitter. The scheme is based on post-selection strategy and feasible by current experimental technology.
We propose a scheme to generate a four-photon polarization-entangled cluster state by using only linear optical elements and four-photon coincidence detection. The scheme requires two single-photon states and one two-photon polarization entangled state as input resources. Then, we consider the realistic implementation of the scheme by using the spontaneous parametric down-conversion as photon resources. It is shown that under certain conditions, the four-photon polarization cluster state can be generated with a high fidelity, and the scheme is feasible by current experimental technology.