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

Abstract

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 $4,6,8,\dots{},2n (n\ensuremath{\geqslant}2)$ mode cases the network consists of $1,9,36,\dots{},\frac{1}{4}{n}^{2} (n\ensuremath{-}1){}^{2}$ quadrangles, respectively. This suggests an efficient way of creating complex quantum networks and has great potentials for quantum information and computation.