Simple analytical flux-tuned iSWAP pulses for leakage suppression

Fast, high-fidelity two-qubit gates are a key requirement for fault-tolerant quantum computation. Tunable coupler architectures provide a flexible approach for implementing entangling gates through flux control with large on-off ratios, but fast flux modulation can induce diabatic transitions and population leakage to non-computational states, limiting gate performance. Here we present an analytical flux control method enabling derivative removal by adiabatic gate (Φ-DRAG) for suppressing leakage in flux tunable two-qubit gates. We show that Φ-DRAG differs fundamentally from conventional microwave implementations and derive modified flux modulation protocols that suppress leakage below 10^-4 for fast entangling gates. The method remains effective across a range of asymmetry between qubit anharmonicities and different circuit parameters, enabling high-fidelity two-qubit gates within the fifteen nanosecond range.