Choi matrices revisited. III
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912075152883712 |
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| author | Han, Kyung Hoon Kye, Seung-Hyeok |
| author_facet | Han, Kyung Hoon Kye, Seung-Hyeok |
| contents | We look for all linear isomorphisms from the mapping spaces onto the tensor products of matrices which send $k$-superpositive maps onto unnormalized bi-partite states of Schmidt numbers less than or equal to $k$. They also send $k$-positive maps onto $k$-block-positive matrices. We also look for all the bilinear pairings between the mapping spaces and tensor products of matrices which retain the usual duality between $k$-positivity and Schmidt numbers $\le k$. They also retain the duality between $k$-superpositivity and $k$-block-positivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13120 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Choi matrices revisited. III Han, Kyung Hoon Kye, Seung-Hyeok Quantum Physics Operator Algebras We look for all linear isomorphisms from the mapping spaces onto the tensor products of matrices which send $k$-superpositive maps onto unnormalized bi-partite states of Schmidt numbers less than or equal to $k$. They also send $k$-positive maps onto $k$-block-positive matrices. We also look for all the bilinear pairings between the mapping spaces and tensor products of matrices which retain the usual duality between $k$-positivity and Schmidt numbers $\le k$. They also retain the duality between $k$-superpositivity and $k$-block-positivity. |
| title | Choi matrices revisited. III |
| topic | Quantum Physics Operator Algebras |
| url | https://arxiv.org/abs/2410.13120 |