Transformed composite sequences for improved qubit addressing

Selective laser addressing of a single atom or atomic ion qubit can be improved using narrow-band composite pulse sequences. We describe a Lie-algebraic technique to generalize known narrow-band sequences and introduce sequences related by dilation and rotation of sequence generators. Our method improves known narrow-band sequences by decreasing both the pulse time and the residual error. Finally, we experimentally demonstrate these composite sequences using ${}^{40}{\mathrm{Ca}}^{+}$ ions trapped in a surface-electrode ion trap.