Engineering superconducting qutrit interaction Hamiltonians for analog quantum simulation

Many opportunities for quantum simulation involve collections of coupled d-level systems where d>2. Superconducting qudits provide a natural platform for performing quantum simulations of these systems. Doing so in an analog way requires engineering the interaction Hamiltonian between the qudits to match the form of the interaction between the elements of the system of interest. In this talk, I will present progress towards transforming the native cross-Kerr interaction Hamiltonian between two transmon qutrits into a product of spin-1 operators, using a combination of dynamical decoupling techniques and Stark drives.