Local Channels under Decomposition of Quantum Gates in Bipartite Systems
For a bipartite quantum system with Hilbert space Hm⊗Hn, this paper considers a quantum channel ϕ from the system to itself which preserves the set of separable states. Within this class of quantum channels, the paper characterizes those channels which preserve the Tsallis entropy of combinations of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/2130374 |
| _version_ | 1797866148874682368 |
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| author | Yihui Lao Pei Wang Shanli Liao |
| author_facet | Yihui Lao Pei Wang Shanli Liao |
| author_sort | Yihui Lao |
| collection | DOAJ |
| description | For a bipartite quantum system with Hilbert space Hm⊗Hn, this paper considers a quantum channel ϕ from the system to itself which preserves the set of separable states. Within this class of quantum channels, the paper characterizes those channels which preserve the Tsallis entropy of combinations of separable states through decomposing quantum gates, where the characterization is given in terms of the action of the channel on separable states. |
| first_indexed | 2024-04-09T23:20:30Z |
| format | Article |
| id | doaj.art-3d2308d7e6d74c42808a58a747ccc80c |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-09T23:20:30Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-3d2308d7e6d74c42808a58a747ccc80c2023-03-22T00:00:10ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/2130374Local Channels under Decomposition of Quantum Gates in Bipartite SystemsYihui Lao0Pei Wang1Shanli Liao2Guangxi Universities Key Lab of Complex System Optimization and Big Data ProcessingGuangxi Universities Key Lab of Complex System Optimization and Big Data ProcessingGuangxi Universities Key Lab of Complex System Optimization and Big Data ProcessingFor a bipartite quantum system with Hilbert space Hm⊗Hn, this paper considers a quantum channel ϕ from the system to itself which preserves the set of separable states. Within this class of quantum channels, the paper characterizes those channels which preserve the Tsallis entropy of combinations of separable states through decomposing quantum gates, where the characterization is given in terms of the action of the channel on separable states.http://dx.doi.org/10.1155/2023/2130374 |
| spellingShingle | Yihui Lao Pei Wang Shanli Liao Local Channels under Decomposition of Quantum Gates in Bipartite Systems Journal of Mathematics |
| title | Local Channels under Decomposition of Quantum Gates in Bipartite Systems |
| title_full | Local Channels under Decomposition of Quantum Gates in Bipartite Systems |
| title_fullStr | Local Channels under Decomposition of Quantum Gates in Bipartite Systems |
| title_full_unstemmed | Local Channels under Decomposition of Quantum Gates in Bipartite Systems |
| title_short | Local Channels under Decomposition of Quantum Gates in Bipartite Systems |
| title_sort | local channels under decomposition of quantum gates in bipartite systems |
| url | http://dx.doi.org/10.1155/2023/2130374 |
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