Relations between the average bipartite entanglement and N-partite correlation functions

Abstract

Abstract We study the relations between the average bipartite entanglement and the N-partite length of correlation. We show that the N-partite length of correlation can completely determine the average bipartite entanglement for two and three-qubits. For four-, five- and six-qubit systems, the N-partite correlation functions may not determine the average bipartite entanglement. These results are novel and promising for pure state.