We present models of quantum gates based on coupled quantum dots in which a
qubit is regarded as the superposition of ground states in each dot. Coher
ent control on the qubit is performed by a monochromatic light pulse illumi
nated on the quantum dots. Considering particular types of artificial molec
ules, we show that the qubit is easily manipulated with the polarization an
d frequency of a light pulse and, especially, the controlled-Nor operation
can be possible exploiting the electron-electron interaction. To examine th
e decoherence of quantum states, we discuss electronic relaxation contribut
ed mainly by LA phonon processes.