Controlled Entanglement Swapping for Continuous Variables

Abstract

We propose a scheme for controlled entanglement swapping of continuous variable, where an EPR pair shared by two parties (Alice and Debbie) and a GHZ entangled state shared by three parties (Alice, Bob and Claire) are required. One optical beams of the EPR state will be entangled with the output mode displaced by Bob with the help of Claire. It is shown that the entanglement swapping can occur controlled by the third party (Claire).