Ancillary Gaussian modes activate the potential to witness non-Markovianity
Abstract
We study how the number of employed modes impacts the ability to witness non-Markovian evolutions via correlation backflows in continuous-variable quantum dynamics. We first prove the existence of non-Markovian Gaussian evolutions that do not show any revivals in the correlations between the mode evolving through the dynamics and a single ancillary mode. We then demonstrate how this scenario radically changes when two ancillary modes are considered. Indeed, we show that the same evolutions can show correlation backflows along a specific bipartition when three-mode states are employed, and where only one mode is subjected to the evolution. These results can be interpreted as a form of activation phenomenon in non-Markovianity detection and are proven for two types of correlations, entanglement and steering, and two classes of Gaussian evolutions, a classical noise model and the quantum Brownian motion model.
Keywords
Cite
@article{arxiv.2207.01649,
title = {Ancillary Gaussian modes activate the potential to witness non-Markovianity},
author = {Dario De Santis and Donato Farina and Mohammad Mehboudi and Antonio Acín},
journal= {arXiv preprint arXiv:2207.01649},
year = {2023}
}
Comments
9+8 pages, 5 figures