  In this work, quantum state transfer (QST) over binary-tree spin networks is
studied by using advantages of partially collapsing measurements. To this aim,
we perform initially a weak measurement (WM) on central qubit of the
binary-tree network, which encoding the state of concern and after time
evolution of the whole system, a quantum measurement reversal (QMR) on the
destined qubit is performed. By taking the optimal value of the QMR, it is
shown that the QST can be improved considerably by controlling the WM strength
and by choosing it close enough to 1, near-perfect QST can be achieved. We also
show that how entanglement distribution quality over the binary-tree spin
network can be obviously improved by using this approach.
