Short composite rotation robust against two common systematic errors

Abstract: Systematic errors hinder precise quantum control. Pulse length errors (PLEs) and off-resonance errors (OREs) are typical systematic errors that are encountered during one-qubit control. A composite pulse (CP) can help compensate for the effects of systematic errors during quantum operation. Several CPs that are robust against either PLE or ORE have been identified. However, few attempts have been made to construct CPs that are robust against both errors (bi-robust). We develop a novel bi-robust CP for one-qubit operations by modifying a PLE robust CP, which exhibits a shorter operation time than that of previously developed bi-robust CPs.