  The ability to shuttle coherently individual electron spins in arrays of
quantum dots is a key procedure for the development of scalable quantum
information platforms. It allows the use of sparsely populated electron spin
arrays, envisioned to efficiently tackle the one- and two-qubit gate
challenges. When the electrons are displaced in an array, they are submitted to
site-dependent environment interactions such as hyperfine coupling with
substrate nuclear spins. Here, we demonstrate that the electron
multi-directional displacement in a $3\times 3$ array of tunnel coupled quantum
dots enhances the spin coherence time via the motional narrowing phenomenon.
More specifically, up to 10 configurations are explored by the electrons to
study the impact of the displacement on spin dynamics. An increase of the
coherence time by a factor up to 10 is observed in case of fast and repetitive
displacement. The physical mechanism responsible for the loss of coherence
induced by displacement is quantitatively captured by a simple model and its
implications on spin coherence properties during the electron displacement are
discussed in the context of large-scale quantum circuits.
