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We report a theoretical study of the coherence dynamics of spin qubits intwo-dimensional materials (2DMs) and van-der-Waals heterostructures, as afunction of the host thickness and the composition of the surroundingenvironment. We focus on MoS$_2$ and WS$_2$, two promising systems for quantumtechnology applications, and we consider the decoherence arising from theinteraction of the spin qubit with nuclear spins. We show that the Hahn-echocoherence time is determined by a complex interplay between the source ofdecoherence in the qubit host and in the environment, which in turn determineswhether the noise evolution is in a classical or quantum mechanical regime. Wesuggest that the composition and thickness of van-der-Waals heterostructuresencapsulating a qubit host can be engineered to maximize coherence times.Finally, we discuss how quantum sensors may be able to probe the dynamics ofthe nuclear bath in 2DMs.

Substrate-controlled dynamics of spin qubits in low dimensional van-der-Waals materials