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A successful and promising device for the physical implementation of electronspin-valley based qubits is the Transition Metal Dichalcogenide monolayer(TMD-ML) semiconductor quantum dot. The electron spin in TMD-ML semiconductorquantum dots can be isolated and controlled with high accuracy, but it stillsuffers from decoherence due to the unavoidable coupling with the surroundingenvironment, such as nuclear spin environments. A common tool to investigatesystems like the one considered in this work is the density matrix formalism bypresenting an exact master equation for a central spin (spin-qubit) system in atime-dependent and coupled to a nuclear spin bath in terms of hyperfineinteraction. The master equation provides a unified description of the dynamicsof the central spin. Analyzing this in more detail, we calculate fidelity lossdue to the Overhauser field from hyperfine interaction in a wide range numberof nuclear spins $\mathcal{N}$.

Hyperfine Interaction in a MoS$_2$ Quantum Dot: Decoherence of a Spin-Valley Qubit