Universal quantum computing via globally controlled architectures

We explore a pathway toward scalable, universal quantum computation based on globally controlled architectures, systems in which qubits evolve collectively under engineered Hamiltonians rather than through individually addressed gates. Our approach leverages emergent large ZZ interactions in transmon superconducting qubits to realize nonlocal effective entangling operations that can be globally tuned yet locally expressive. We report on theoretical and experimental advances in designing such architectures using capacitive coupling, that produce robust, tunable, and  interaction manifolds. In this framework, global control fields drive the entire array while encoded logical operations emerge naturally from the intrinsic many-body dynamics. This work establishes the theoretical foundation for a hardware-efficient route to universal quantum computation—one that exploits the collective physics of strongly interacting superconducting qubits to achieve high-fidelity control with minimal wiring overhead.