Resonant cancellation of off-resonant effects in a multilevel qubit - art.no. 050301

Off-resonant effects are a significant source of error in quantum computati on. This paper presents a group-theoretic proof that off-resonant transitio ns to the higher levels of a multilevel qubit can be completely prevented i n principle. This result can be generalized to prevent unwanted transitions due to qubit-qubit interactions. A simple scheme exploiting dynamic pulse control techniques is presented that can cancel transitions to higher state s to arbitrary accuracy.