Active Leakage Cancellation in Single Qubit Gates

Abstract: The ability to perform fast and accurate rotations between the computational basis states of quantum bits is one of the most fundamental requirements for building a quantum computer. Because physical qubits generally contain more than two levels, faster gates often result in a higher leakage rate outside of the computational space. In this letter, we enhance the state-of-the-art single qubit gate by introducing active leakage cancellation. This is accomplished via a second drive tone near the leakage transition such that we cancel the leakage caused by the main drive. Furthermore, we describe a measurement sequence that can be used to calibrate the parameters of this leakage cancellation drive. Finally, we apply the technique to superconducting transmon qubits, suppressing the leakage below the $10^{-5}$ level, and achieving coherence-limited gate infidelity of $7.5\times 10^{-5}$, for a 10 ns $\pi/2$ gate and 196 MHz qubit anharmonicity.