Single qubit gates with a charged quantum dot using minimal resources

We investigate coherent control of a single electron trapped in a semiconductor quantum dot. Control is enabled with a strong laser field detuned with respect to the electron light-hole optical transitions. For a realistic experimental situation, i.e. with a weak magnetic field applied along the growth direction, high fidelity arbitrary rotations of the electron spin are possible using a single laser spatial mode. This makes viabile quantum gates with electron spins in systems with restricted optical resources.