Scalable network of quadrangle entanglements via multiple phase-dependent electromagnetically induced transparency

One important class of multipartite continuous variable entanglement is described by a closed polygon, where every vertex represents one optical field and every side corresponds to the entanglement between the two connected vertices. Here we show that it is possible to obtain a scalable network of quadrangle entanglements by using multiple phase-dependent electromagnetically induced transparency. For 4,6,8,...,2n (n{>=}2) mode cases the network consists of 1,9,36,...,(1/4)n{sup 2} (n-1){sup 2} quadrangles, respectively. This suggests an efficient way of creating complex quantum networks and has great potentials for quantum information and computation.