We propose a method for the algorithmic quantum simulation of memory effects described by integrodifferential evolution equations. It consists in the systematic use of perturbation theory techniques and a Markovian quantum simulator. Our method aims to efficiently simulate both completely positive and nonpositive dynamics without the requirement of engineering non-Markovian environments. Finally, we find that small error bounds can be reached with polynomially scaling resources, evaluated as the time required for the simulation.
@article{arxiv.1604.02992,
title = {Algorithmic quantum simulation of memory effects},
author = {U. Alvarez-Rodriguez and R. Di Candia and J. Casanova and M. Sanz and E. Solano},
journal= {arXiv preprint arXiv:1604.02992},
year = {2017}
}