Abstract: A method for quantum state transfer includes iteratively expanding an initial quantum state from an initial qudit, of a plurality of qudits, over a sequence of expanding domains. For each iteration, a quantum circuit is applied to the qudits belonging to a respective domain of the sequence. The quantum circuit transforms the qudits of the respective domain into an intermediate quantum state that includes a W state formed with the qudits of the respective domain. The last iteration generates a maximally expanded state. The method may also include iteratively compressing the maximally expanded state according to a sequence of contacting domains. After compressing, a final qudit, of the plurality of qudits, is in a final quantum state that approximates the initial quantum state.