Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator

Understand

In qubits made from a weakly anharmonic oscillator the leading source of error at short gate times is leakage of population out of the two dimensional Hilbert space that forms the qubit.

• In this paper we develop a general scheme based on an adiabatic expansion to find pulse shapes that correct this type of error.
• We find a family of solutions that allows tailoring to what is practical to implement for a specific application.
• Our result contains and improves the previously developed DRAG technique [F.