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Three-level Lambda systems appear in various quantum information processingplatforms. In several control schemes, the excited level serves as an auxiliarystate for implementing gate operations between the lower qubit states. However,extra excited levels give rise to unwanted transitions that cause leakage andother errors, degrading the gate fidelity. We focus on acoherent-population-trapping scheme for gates and design protocols that reducethe effects of the unwanted off-resonant couplings and improve the gateperformance up to several orders of magnitude. For a particular setup ofunwanted couplings, we find an exact solution, which leads to error-free gateoperations via only a static detuning modification. In the general case, weimprove gate operations by adding corrective modulations to the pulses, therebygeneralizing the DRAG protocol to Lambda systems. Our techniques enable fastand high-fidelity gates and apply to a wide range of optically drivenplatforms, such as quantum dots, color centers, and trapped ions.

Avoiding leakage and errors caused by unwanted transitions in Lambda systems