Simple pulses for elimination of leakage in weakly nonlinear qubits

Understand

In realizations of quantum computing, a two-level system (qubit) is often singled out of the many levels of an anharmonic oscillator.

• In these cases, simple qubit control fails on short time scales because of coupling to leakage levels.
• We provide an easy to implement analytic formula that inhibits this leakage from any single-control analog or pixelated pulse.
• It is based on adding a second control that is proportional to the time-derivative of the first.