Approximating invertible maps by recovery channels: Optimality and an application to non-Markovian dynamics

We investigate the problem of reversing quantum dynamics, specifically via optimal Petz recovery maps. We focus on typical decoherence channels, such as dephasing, depolarizing, and amplitude damping. We illustrate how well a physically implementable recovery map simulates an inverse evolution. We extend this idea to explore the use of recovery maps as an approximation of inverse maps, and apply it in the context of non-Markovian dynamics. We show how this strategy attenuates non-Markovian effects, such as the backflow of information.

Automated summary

This study investigates the problem of reversing quantum dynamics using optimal Petz recovery maps. Specifically, it focuses on decoherence channels like dephasing, depolarizing, and amplitude damping. The study demonstrates how a physically implementable recovery map effectively simulates inverse evolution. Furthermore, it explores the approximation of recovery maps as inverse maps in the context of non-Markovian dynamics and shows how this strategy attenuates non-Markovian effects.