Scalable Single-Step Generation of W States in 1D and 2D Superconducting Qubit Lattices

W states represent a distinct class of multipartite entanglement characterized by resilience against particle loss, making them a valuable resource for quantum computing, communication, and sensing. However, existing methods for preparing W states typically rely on sequential two-qubit gates or many-to-one topologies, resulting in significant time and hardware overheads when scaled to systems of practical relevance. Here, we present an efficient and noise-robust approach to W state generation based on low-connectivity Hamiltonians designed to directly evolve product states into fully entangled states. We implement this method on superconducting transmon qubits coupled via tunable couplers under simultaneous parametric drives. Using a linear qubit register, we generate W states by coherently delocalizing an excitation initially prepared on a single qubit, achieving genuine multipartite entanglement of up to 7 qubits in 264 ns with an average tomographic fidelity of 79.6 ± 1.3%. We then extend our results to two-dimensional qubit lattices, where faster protocols are realized using several concurrent linear operations, achieving single-step preparation on a 3x2 lattice in 99 ns and with a fidelity of 83.9 ± 1.0%.