Compactness criterion for families of quantum operations in the strong convergence topology and its applications
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913691600945152 |
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| author | Shirokov, M. E. |
| author_facet | Shirokov, M. E. |
| contents | A revised version of the compactness criterion for families of quantum operations in the strong convergence topology (obtained previously) is presented, along with a more detailed proof and the examples showing the necessity of this revision.
Several criteria for the existence of a limit point of a sequence of quantum operations w.r.t. the strong convergence are obtained and discussed.
Applications in different areas of quantum information theory are described. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_13694 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Compactness criterion for families of quantum operations in the strong convergence topology and its applications Shirokov, M. E. Quantum Physics Mathematical Physics A revised version of the compactness criterion for families of quantum operations in the strong convergence topology (obtained previously) is presented, along with a more detailed proof and the examples showing the necessity of this revision. Several criteria for the existence of a limit point of a sequence of quantum operations w.r.t. the strong convergence are obtained and discussed. Applications in different areas of quantum information theory are described. |
| title | Compactness criterion for families of quantum operations in the strong convergence topology and its applications |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2307.13694 |