Microwave engineering of tunable spin interactions with superconducting qubits

Quantum simulation has emerged as a powerful framework for investigating complex many-body phenomena. A key requirement for emulating these dynamics is the realization of fully controllable quantum systems enabling various spin interactions. Yet, quantum simulators remain constrained in the types of attainable interactions. Here we demonstrate experimental realization of multiple microwave-engineered spin interactions in superconducting quantum circuits. By precisely controlling the native XY interaction and microwave drives, we achieve tunable spin Hamiltonians, including (i) XYZ spin models with continuously adjustable parameters, (ii) transverse-field Ising models, and (iii) Dzyaloshinskii–Moriya interacting systems. Our work expands the toolbox for analog-digital quantum simulation, paving the way for exploring a wide range of exotic quantum spin models.