  Regular measurements allow predicting the future and retrodicting the past of
quantum systems. Time-non-local measurements can leave the future and the past
uncertain, yet establish a relation between them. We show that continuous
time-non-local measurements can be used to transfer a quantum state via
teleportation or direct transmission. Considering two oscillators probed by
traveling fields, we analytically identify strategies for performing the state
transfer perfectly across a wide range of linear oscillator-field interactions
beyond the pure beamsplitter and two-mode-squeezing types.
