  Shuttling spins with high fidelity is a key requirement to scale up
semiconducting quantum computers, enabling qubit entanglement over large
distances and favoring the integration of control electronics on-chip. To
decouple the spin from the unavoidable charge noise, state-of-the-art spin
shuttlers try to minimize the inhomogeneity of the Zeeman field. However, this
decoupling is challenging in otherwise promising quantum computing platforms
such as hole spin qubits in silicon and germanium, characterized by a large
spin-orbit interaction and electrically-tunable qubit frequency. In this work,
we show that, surprisingly, the large inhomogeneity of the Zeeman field
stabilizes the coherence of a moving spin state, thus enabling high-fidelity
shuttling also in these systems. We relate this enhancement in fidelity to the
deterministic dynamics of the spin which filters out the dominant low-frequency
contributions of the charge noise. By simulating several different scenarios
and noise sources, we show that this is a robust phenomenon generally occurring
at large field inhomogeneity. By appropriately adjusting the motion of the
quantum dot, we also design realistic protocols enabling faster and more
coherent spin shuttling. Our findings are generally applicable to a wide range
of setups and could pave the way toward large-scale quantum processors.
