Emergent complex quantum networks in continuous-variables non-Gaussian states

Abstract We use complex network theory to study a class of photonic continuous variable quantum states that present both multipartite entanglement and non-Gaussian statistics. consider the intermediate scale several dozens modes at which such systems are already hard characterize. In particular, built from an initial imprinted cluster state created via Gaussian entangling operations according structure. then engender statistics multiple photon subtraction acting on single node. replicate in regime some models mimic real-world networks order test their structural properties under local operations. go beyond known single-mode effects, by studying emergent photon-number correlations measures. analytically prove structure defines vicinity nodes, distance four steps photon-subtracted node, changes due subtraction. show numerically is greatly influenced network. Indeed, while mean variance degree clustering distribution always increase, higher moments distributions governed specific Finally, we behaviour nearest neighbours node depends how they connected each other