Exploring highly connected networks of qubits is invaluable for implementing
various quantum algorithms and simulations as it allows for entangling qubits
with reduced circuit depth. Here, we demonstrate a multi-qubit STAR (Sideband
Tone Assisted Rabi driven) gate. Our scheme is inspired by the ion qubit
M{\o}lmer-S{\o}rensen gate and is mediated by a shared photonic mode and
Rabi-driven superconducting qubits, which relaxes restrictions on qubit
frequencies during fabrication and supports scalability. We achieve a two-qubit
gate with maximum state fidelity of 0.95 in 310 ns, a three-qubit gate with
state fidelity 0.905 in 217 ns, and a four-qubit gate with state fidelity 0.66
in 200 ns. Furthermore, we develop a model of the gate that show the four-qubit
gate is limited by shared resonator losses and the spread of qubit-resonator
couplings, which must be addressed to reach high-fidelity operations.Comment: 16 pages, 14 figure