Abstract: A coherence model predicts the coherence time of one spin qubit based on decoherence caused by a surrounding spin bath. This coherence model, which is constructed by performing cluster correlation expansion calculations of spin-bath-induced decoherence, includes a library of coherence time distributions over a parameter-space range. Using this library, maximum likelihood estimation is then performed on a set of experimental data, enabling the density of the spin bath and the dimensionality of the spin qubits to be determined, given certain geometrical constraints. Rather than relying on assumptions that average over interactions between bath spins and central qubit spins, the present embodiments simulate the dynamics of the entire interacting spin bath, producing a quantum mechanical characterization technique for quantum applications that can be incorporated into a feedforward synthesis loop.