Characterizations of Strongly Entanglement Breaking channels for infinite-dimensional quantum systems
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916454074417152 |
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| author | Muoi, Bui Ngoc Sze, Nung-Sing |
| author_facet | Muoi, Bui Ngoc Sze, Nung-Sing |
| contents | Entanglement breaking (EB) channels, as completely positive and trace-preserving linear operators, sever the entanglement between the input system and other systems. In the realm of infinite-dimensional systems, a related concept known as strongly entanglement breaking (SEB) channels emerges. This paper delves into characterizations of SEB channels, delineating necessary and sufficient conditions for a channel to be classified as SEB, especially with respect to the commutativity of its range. Moreover, we demonstrate that every closed self-adjoint subspace of trace-zero operators, with the trace norm, is the null space of a SEB channel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19270 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterizations of Strongly Entanglement Breaking channels for infinite-dimensional quantum systems Muoi, Bui Ngoc Sze, Nung-Sing Functional Analysis Quantum Physics Primary 81P40, Secondary 47L07, 81R15 Entanglement breaking (EB) channels, as completely positive and trace-preserving linear operators, sever the entanglement between the input system and other systems. In the realm of infinite-dimensional systems, a related concept known as strongly entanglement breaking (SEB) channels emerges. This paper delves into characterizations of SEB channels, delineating necessary and sufficient conditions for a channel to be classified as SEB, especially with respect to the commutativity of its range. Moreover, we demonstrate that every closed self-adjoint subspace of trace-zero operators, with the trace norm, is the null space of a SEB channel. |
| title | Characterizations of Strongly Entanglement Breaking channels for infinite-dimensional quantum systems |
| topic | Functional Analysis Quantum Physics Primary 81P40, Secondary 47L07, 81R15 |
| url | https://arxiv.org/abs/2410.19270 |