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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.01761 |
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| _version_ | 1866908412980232192 |
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| author | Weis, Stephan |
| author_facet | Weis, Stephan |
| contents | Every state on the algebra $M_n$ of complex nxn matrices restricts to a state on any matrix system. Whereas the restriction to a matrix system is generally not open, we prove that the restriction to every *-subalgebra of $M_n$ is open. This simplifies topology problems in matrix theory and quantum information theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01761 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Matrix systems, algebras, and open maps Weis, Stephan Functional Analysis Quantum Physics Primary 81P16, 94A15, 46A30, Secondary 47A12, 15A60 Every state on the algebra $M_n$ of complex nxn matrices restricts to a state on any matrix system. Whereas the restriction to a matrix system is generally not open, we prove that the restriction to every *-subalgebra of $M_n$ is open. This simplifies topology problems in matrix theory and quantum information theory. |
| title | Matrix systems, algebras, and open maps |
| topic | Functional Analysis Quantum Physics Primary 81P16, 94A15, 46A30, Secondary 47A12, 15A60 |
| url | https://arxiv.org/abs/2502.01761 |