We study a quantum state transfer between spins interacting with an arbitrary network of spins coupled by uniform $XX$ interactions. It is shown that in such a system under fairly general conditions, we can expect a nearly perfect transfer of states. Then we analyze a generalization of this model to the case of many network users, where the sender can choose which party he wants to communicate with by appropriately tuning his local magnetic field. We also remark that a similar idea can be used to create an entanglement between several spins coupled to the network.

• Received 12 August 2006

DOI:https://doi.org/10.1103/PhysRevA.75.022330