Impact of the local valley splitting on the coherence of conveyor-belt spin shuttling in $^28$Si/SiGe

Kavli Affiliate: Giordano Scappucci
| Summary:
Silicon quantum chips offer a promising path toward scalable, fault-tolerant quantum computing, with the potential to host millions of qubits. However, scaling up dense quantum-dot arrays and enabling qubit interconnections through shuttling are hindered by uncontrolled lateral variations of the valley splitting energy $E_VS$. We map $E_VS$ across a $40 , $nm x $400 , $nm region of a $^28$Si/Si$_0.7$Ge$_0.3$ shuttle device and analyze the spin coherence of a single electron spin transported by conveyor-belt shuttling. We observe that the $E_VS$ varies over a wide range from $1.5 , μ$eV to $200 , μ$eV and is dominated by SiGe alloy disorder. In regions of low $E_VS$ and at spin-valley resonances, spin coherence is reduced and its dependence on shuttle velocity matches predictions. Rapid and frequent traversal of low-$E_VS$ regions induces a regime of enhanced spin coherence explained by motional narrowing. By selecting shuttle trajectories that avoid problematic areas on the $E_VS$ map, we achieve transport over tens of microns with coherence limited only by the coupling to a static electron spin entangled with the mobile qubit. Our results provide experimental confirmation of the theory of spin-decoherence of mobile electron spin-qubits and present practical strategies to integrate conveyor-mode qubit shuttling into silicon quantum chips.
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