Stabilizing quantum dynamics through coupling to a quantized environment

TL;DR

This paper demonstrates that small uncertainties in quantum system parameters can enhance robustness against environmental perturbations, with non-Markovian effects playing a crucial role in maintaining fidelity even in chaotic systems.

Contribution

It introduces a method to improve quantum system robustness by leveraging environmental uncertainty and highlights the necessity of non-Markovianity for fidelity preservation.

Findings

Robustness increases with environmental uncertainty.

Non-Markovianity is essential for fidelity robustness.

Chaotic systems can be stabilized through this approach.

Abstract

We show that introducing a small uncertainty in the parameters of quantum systems can make the dynamics of these systems robust against perturbations. Concretely, for the case where a system is subject to perturbations due to an environment, we derive a lower bound on the fidelity decay, which increases with increasing uncertainty in the state of the environment. Remarkably, this robustness in fidelity can be achieved even in fragile chaotic systems. We show that non-Markovianity is necessary for attaining robustness in the fidelity.