# 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.

## Key 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.

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Source: https://tomesphere.com/paper/1903.01135