Suppressing Leakage in High Fidelity Single Qubit Gates for Superconducting Qubits*

Recent results show that superconducting qubits are approaching the threshold for fault tolerant quantum error correction. However, leakage into non-qubit states remains a significant hurdle because leakage errors are highly detrimental for error correction schemes such as the surface code. I will demonstrate that with a simple addition to DRAG pulse shaping, leakage can be suppressed to the $10^{-5}$ level while simultaneously maintaining $10^{-3}$ gate fidelity. I will also show that the remaining leakage errors are due to heating of the qubit, suggesting further avenues for improvement.