We present a theory to further a new perspective of proactive control of ex
citon dynamics in the quantum limit. Circularly polarized optical pulses in
a semiconductor nanodot are used to control the dynamics of two interactin
g excitons of opposite polarizations. Shaping of femtosecond laser pulses k
eeps the quantum operation within the decoherence time. Computation of the
fidelity of the operations and application to the complete solution of a mi
nimal quantum computing algorithm demonstrate in theory the feasibility of
quantum control.