Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents
We obtain a characterization of bijective maps preserving the trace of products on the set of tensor products of rank-1 idempotents, which may be considered as a generalization of Molnár’s Wigner-type theorem in multipartite systems. The proof is based on the studies in linear preserver problems on...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/2384295 |
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| _version_ | 1832544037725274112 |
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| author | Yulong Tian Jinli Xu |
| author_facet | Yulong Tian Jinli Xu |
| author_sort | Yulong Tian |
| collection | DOAJ |
| description | We obtain a characterization of bijective maps preserving the trace of products on the set of tensor products of rank-1 idempotents, which may be considered as a generalization of Molnár’s Wigner-type theorem in multipartite systems. The proof is based on the studies in linear preserver problems on tensor products. Moreover, a corresponding result on the finite-dimensional case is presented. |
| format | Article |
| id | doaj-art-1af588de313b4e65b92088cf16b454a9 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1af588de313b4e65b92088cf16b454a92025-02-03T10:59:14ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/2384295Symmetry Transformations on the Set of Tensor Products of Rank-1 IdempotentsYulong Tian0Jinli Xu1Department of MathematicsDepartment of MathematicsWe obtain a characterization of bijective maps preserving the trace of products on the set of tensor products of rank-1 idempotents, which may be considered as a generalization of Molnár’s Wigner-type theorem in multipartite systems. The proof is based on the studies in linear preserver problems on tensor products. Moreover, a corresponding result on the finite-dimensional case is presented.http://dx.doi.org/10.1155/2024/2384295 |
| spellingShingle | Yulong Tian Jinli Xu Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents Journal of Mathematics |
| title | Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents |
| title_full | Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents |
| title_fullStr | Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents |
| title_full_unstemmed | Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents |
| title_short | Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents |
| title_sort | symmetry transformations on the set of tensor products of rank 1 idempotents |
| url | http://dx.doi.org/10.1155/2024/2384295 |
| work_keys_str_mv | AT yulongtian symmetrytransformationsonthesetoftensorproductsofrank1idempotents AT jinlixu symmetrytransformationsonthesetoftensorproductsofrank1idempotents |