  We study the functioning of associative memory on three-level quantum
elements, qutrites represented by spins with S = 1. The recording of patterns
into the superposition of quantum states and their recall are carried out by
adiabatic variation of the Hamiltonian with time. To equalize the probabilities
of finding the system in different states of superposition, an auxiliary
Hamiltonian is proposed, which is turned off at the end of evolution.
Simulations were performed on two and three qutrits and an increase in the
memory capacity after replacing qubits with qutrits is shown.
