Abstract
We designed the experimental generation system of the optical GHZ-like and cluster-like quadripartite entangled states for continuous variables. We theoretically demonstrated that the two different types of quadripartite entangled states can be obtained by the linearly optical transformation of four amplitude-quadrature and phase-quadrature squeezed states produced from a pair of nondegenerate optical parametric amplifiers under appropriate phase relations. The criteria for full inseparability of quadripartite cluster-like state were deduced, and the dependency of the quadripartite entanglement on the initial squeezing degree, the transmission efficiencies of the system and the detection efficiency of homodyne detection were numerically calculated.
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