Ultrahigh-fidelity composite rotational quantum gates

Composite pulse sequences, which produce arbitrary predefined rotations of a qubit on the Bloch sphere, are presented. The composite sequences contain up to 17 pulses and can compensate 8 orders experimental errors in amplitude duration. for three basic quantum gates, X (not), Hadamard rotation, derived. Three classes presented: one symmetric two asymmetric. They as their lowest members well-known sequences: three-pulse SCROFULOUS four-pulse asymmetric BB1 pulse, first- second-order errors, respectively. shorter derived analytically, longer ones numerically (instead by nesting concatenation, usually done hitherto). Consequently, here match or outperform existing terms either speed accuracy, both. For example, we derive sequence, is faster (by about 13%) than famous sequence. higher-order speedup becomes much more pronounced. This important information processing provide options finding sweet spot between ultrahigh fidelity high speed.