Multiqudit interactions in molecular spins

We study photon-mediated interactions between molecular spin qudits in the dispersive regime of operation. derive from a microscopic model effective interaction spins, including their crystal field anisotropy (i.e., presence nonlinear terms) and multilevel structure. Finally, we calculate long-time dynamics for pair interacting spins using method multiple-scale analysis. This allows us to find set two-qudit gates that can be realized specific choice determine time required implementation. Our results are relevant implementation logical general systems with unequally spaced levels or an adequate computational subspace encode process information.