  The extrinsic dephasing of a hole spin confined to a self-assembled quantum
dot is dominated by charge noise acting on an electric-field dependent
g-factor. Here we propose the use of the optical Stark effect to reduce the
sensitivity of the effective hole Zeeman energy to fluctuations in the local
electric-field. Calculations using measured quantum dot parameters are
presented, and demonstrate a factor of 10-100 reduction in the extrinsic
dephasing. Compared to active stabilization methods, this technique should
benefit from reduced experimental complexity.
