  The speed of the transmission of a physical signal from a sender to a
receiver is limited by the speed of light, regardless of the physical system
being classical or quantum. In this sense, quantum mechanics can not provide
any enhancement of the speed of information. If instead we consider that the
information needing to be transmitted is not localized at the sender's
location, but dispersed throughout space, spatial coherence might provide an
enhancement of the information speed. In this work, we demonstrate a quantum
mechanical advantage in the speed of acquirement and transmission of
information globally encoded in space. We present a task for which we prove a
quadratic enhancement to the information speed of quantum information carriers
with respect to their classical counterpart. Our findings can naturally be
applied in situations where the information source has limited power, i.e.
bounded number of signals that can be sent per unit time.
