Abstract
A fundamental task in quantum information science is to transfer an unknown state from particle A to particle B (often in remote space locations) by using a bipartite quantum operation . We suggest the power of for quantum state transfer (QST) to be the maximal average probability of QST over the initial states of particle B and the identifications of the state vectors between A and B. We find the QST power of a bipartite quantum operations satisfies four desired properties between two d-dimensional Hilbert spaces. When A and B are qubits, the analytical expressions of the QST power is given. The numerical result on a QST scheme via a quantum wire shows the necessity to optimize the average fidelity. In particular, we obtain the exact results of the QST power for a general two-qubit unitary transformation, and we find a necessary and sufficient condition for the two-qubit unitary gates with perfect QST.
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