Several kinds of Gaussian quantum channels related to Einstein-Podolsky-Rosen steering
Abstract
Quantum steering is a crucial quantum resource that lies intermediate between entanglement and Bell nonlocality. Gaussian channels, meanwhile, play a foundational role in diverse quantum protocols, secure communication, and related fields. In this paper, we focus on several classes of Gaussian channels associated with quantum steering: Gaussian steering-annihilating channels, Gaussian steering-breaking channels, Gaussian unsteerable channels, and maximal Gaussian unsteerable channels. We give the concepts of these channels, derive the necessary and sufficient conditions for a Gaussian channel to belong to each class, and explore the intrinsic relationships among them. Additionally, since quantifying the steering capability of Gaussian channels in continuous-variable systems requires an understanding of the structure of free superchannels, we also provide a detailed characterization of Gaussian unsteerable superchannels and maximal Gaussian unsteerable superchannels.
Keywords
Cite
@article{arxiv.2511.05003,
title = {Several kinds of Gaussian quantum channels related to Einstein-Podolsky-Rosen steering},
author = {Ruifen Ma and Yanjing Sun and Xiaofei Qi},
journal= {arXiv preprint arXiv:2511.05003},
year = {2026}
}