We present a quantum dot structure fabricated by the lithographic positioni
ng, which can be used as a prototype of the quantum dot register for quantu
m computing. Using simple model calculations we show that parameters of our
quantum dot structure are very close to the ones required for two possible
embodiments of a quantum computer. Results of numerical simulation of the
quantum dot register, as well as discussion of materials and technological
issues of fabrication of quantum logic gates are also presented.