We investigate an optically driven quantum computer based on electric dipol
e transitions within coupled single-electron quantum dots. Our quantum regi
ster consists of a free-standing n-type pillar containing a series of pairw
ise coupled asymmetric quantum dots, each with a slightly different energy
structure, and with grounding leads at the top and bottom of the pillar. As
ymmetric quantum wells confine electrons along the pillar axis, and a negat
ively biased gate wrapped around the center of the pillar allows for electr
ostatic confinement in the radial direction. We self-consistently solve cou
pled Schrodinger and Poisson equations and develop a design for a three-qub
it quantum register. Our results indicate that a single gate electrode can
be used to localize a single electron in each of the quantum dots. Adjacent
dots are strongly coupled by electric dipole-dipole interactions arising f
rom the dot asymmetry, thus enabling rapid computation rates. The dots are
tailored to minimize dephasing due to spontaneous emission and phonon scatt
ering and to maximize the number of computation cycles. The design is scala
ble to a large number of qubits.