Bidirectional quantum teleportation in continuous variables

Abstract We propose a bidirectional quantum teleportation (BQT) protocol in continuous variables. We use a cluster state in continuous variables as the main resource to realize this protocol. In the paper, we obtain a family of configurations of cluster states in continuous variables that can be used to realize the BQT protocol. From the whole family of configurations, we have chosen those that realize the protocol with the smallest possible error.