Choi matrices revisited. III
| Autor: | Han, Kyung Hoon, Kye, Seung-Hyeok |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 22 pages |
| Databáze: | arXiv |
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