Sequences of Selective Rotation Operators to Engineer Interactions for Quantum Annealing on Three Qutrits

Abstract

We have done simulating of factorization the number 15 on three qutrits S = 1 by quantum annealing. We assume that strong one-spin interaction allow selectively operate on different transitions between levels of the each qutrit. We present a sequence of selective rotation operators to engineer from dipole-dipole interaction a time-dependent effective Hamiltonian necessary for solving the problem. Also we find dependence of fidelity versus various parameters: magnetic field, total annealing time, and duration of time step, when the continuous variation of the Hamiltonian is replaced by a discrete one.