Tridirectional quantum teleportation protocol in continuous variables

We propose a protocol for tridirectional quantum teleportation in continuous variables. A special feature of the protocol is the possibility to choose one of three scenarios: simultaneous exchange between three participants, exchange between any two participants, or the transfer of two states to a third participant. We use a cluster state in continuous variables as the main resource to realise tridirectional quantum teleportation. In the paper, we obtain several possible configurations of cluster states in continuous variables that can be used as the main resource. From the whole range of configurations, we have chosen those that realise the protocol with the smallest possible error.
Comment: arXiv admin note: text overlap with arXiv:2408.06081