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Stark-chirped rapid adiabatic passage (SCRAP) is an important technique usedfor coherent quantum controls. In this paper we investigate how thepractically-existing dissipation of the system influences on the efficiency ofthe passage, and thus the fidelities of the SCRAP-based quantum gates. Withflux-biased Josephson qubits as a specifical example, our results show clearlythat the efficiency of the logic gates implemented by SCRAP are robust againstthe weak dissipation. The influence due to the non-adiabtic transitions betweenthe adiabatic passages is comparatively significantly small. Therefore, theSCRAP-based logic gates should be feasible for the realistic physical systemswith noises.

Stark-chirped rapid adiabatic passage in the presence of dissipation for quantum computation