  A `register' in quantum information processing -- is composition of k quantum
systems, `qudits'. The dimensions of Hilbert spaces for one qudit and whole
quantum register are d and d^k respectively, but we should have possibility to
prepare arbitrary entangled state of these k systems. Preparation and arbitrary
transformations of states are possible with universal set of quantum gates and
for any d may be suggested such gates acting only on single systems and
neighbouring pairs. Here are revisited methods of construction of Hamiltonians
for such universal set of gates and as a concrete new example is considered
case with qutrits. Quantum tomography is also revisited briefly.
