Several kinds of Gaussian quantum channels

• URL: http://arxiv.org/abs/2511.05003v1
• Date: Fri, 07 Nov 2025 06:20:12 GMT
• Title: Several kinds of Gaussian quantum channels
• Abstract summary: Quantum steering is a crucial quantum resource that lies between entanglement and Bell nonlocality.<n>We focus on several classes of Gaussian channels associated with quantum steering.
• Score: 2.6368722051224798
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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