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Accurate quantum control is a key technology for realizing quantuminformation processing, such as quantum communication and quantum computation.In reality, a quantum state under control suffers from undesirable effectscaused by systematic errors. A composite pulse (CP) is used to eliminate theeffects of systematic errors during control. One qubit control, which is themost fundamental in quantum control, is typically affected by two errors: pulselength error (PLE) and off-resonance error (ORE). In this study, we focus onORE-robust CPs and systematically construct ORE-robust symmetric CPs with threeelementary operations. We find an infinitely large number of ORE-robust CPs andevaluate their performance according to gate infidelity and operation time,both of which are important for the realization of accurate quantum control.

General off-resonance error robust symmetric composite pulses with three elementary operations