Dissipative evolution of quantum Gaussian states

TL;DR

This paper introduces a new dissipative evolution model that preserves quantum Gaussian states' convex combinations, useful for describing scattering processes and engineering dissipators in quantum systems.

Contribution

It develops a novel Lindblad-based model that maintains Gaussian state convexity, expanding tools for quantum resource management and dissipator design.

Findings

The model preserves convex combinations of Gaussian states.

It effectively describes random scattering processes.

It offers a new approach for dissipator engineering.

Abstract

Recent works on quantum resource theories of non-Gaussianity, which are based upon the type of tools available in contemporary experimental settings, put Gaussian states and their convex combinations on equal footing. Motivated by this, in this article, we derive a new model of dissipative time evolution based on unitary Lindblad operators which, while does not preserve the set of Gaussian states, preserves the set of their convex combinations, i.e. so-called quantum Gaussian states. As we demonstrate, the considered evolution proves useful both as a description for random scattering and as a tool in dissipator engineering.