State transfer on the multi-access channel network

As a new functional network supporting communication, quantum network can provide higher security and lower complexity for quantum information processing. Based on the one-to-one quantum state merging and quantum state redistribution, we first generalize them to the multi-to-one situation and give the optimal cost pair for merging or redistributing quantum states from each sender to the receiver in turn. It is proved that previously received information can reduce the cost of the next transfer. Then, using the method of fusion, we propose a state transfer protocol over the multi-access channel network with one intermediate node and provide its optimal cost pair. Finally, two specific examples are given to demonstrate our results when a GHZ-like state or a Werner-type state is taken as the shared entanglement resource.