Title: A resource theory of quantum communication based on port-based teleportation
Abstract: In this talk, we introduce quantum resource theories (QRT) of quantum communication based on port-based teleportation (PBT). In PBT, a shared entangled state is used to generate a quantum channel using one-way classical communication and the simplest possible decoding process of merely discarding subsystems. We consider three different QRTs of PBT protocols with different restrictions to the decoding process: PBT with discarding subsystems, PBT* with discarding subsystems and arbitrary classical state preparation, and PBT** with discarding subsystems and arbitrary quantum state preparation. We discuss separations among the optimal entanglement fidelities of quantum channels implemented via protocols in PBT, PBT* and PBT**, focusing in particular on protocols using graph states as the resource state.