Several kinds of Gaussian quantum channels related to Einstein-Podolsky-Rosen steering
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917397198274560 |
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| author | Ma, Ruifen Sun, Yanjing Qi, Xiaofei |
| author_facet | Ma, Ruifen Sun, Yanjing Qi, Xiaofei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05003 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Several kinds of Gaussian quantum channels related to Einstein-Podolsky-Rosen steering Ma, Ruifen Sun, Yanjing Qi, Xiaofei Quantum Physics Mathematical Physics 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. |
| title | Several kinds of Gaussian quantum channels related to Einstein-Podolsky-Rosen steering |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2511.05003 |