Sequences of selective rotation operators to engineer interactions for quantum annealing on three qutrits

TL;DR

This paper demonstrates a method to simulate the factorization of 15 using three qutrits through quantum annealing, employing sequences of selective rotation operators to engineer effective interactions.

Contribution

It introduces a novel sequence of selective rotation operators to engineer Hamiltonians for quantum annealing on qutrits, enabling factorization simulation.

Findings

Fidelity depends on magnetic field, annealing time, and step duration.

Discrete Hamiltonian variation affects simulation accuracy.

Method successfully simulates factorization on three qutrits.

Abstract

We have done simulating of factorization the number 15 on three qutrits, represented by the spins 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 different parameters: magnetic field, total annealing time, and duration of time step, when the continuous variation of the Hamiltonian is replaced by a discrete one.