On the distillablity conjecture in matrix theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913578069524480 |
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| author | Liu, Saiqi Lin, Chen |
| author_facet | Liu, Saiqi Lin, Chen |
| contents | The distillability conjecture of two-copy 4 by 4 Werner states is one of the main open problems in quantum information. We prove two special cases of the conjecture. The first case occurs when two 4 by 4 matrices A, B are both unitarily equivalent to block diagonal matrices with 2 by 2 blocks. The second case occurs when B is unitarily equivalent to either -A or the transpose of -A. Plus, we propose a simplified version of the distillability conjecture when both A and B are matrices with distinct eigenvalues. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09527 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the distillablity conjecture in matrix theory Liu, Saiqi Lin, Chen Quantum Physics The distillability conjecture of two-copy 4 by 4 Werner states is one of the main open problems in quantum information. We prove two special cases of the conjecture. The first case occurs when two 4 by 4 matrices A, B are both unitarily equivalent to block diagonal matrices with 2 by 2 blocks. The second case occurs when B is unitarily equivalent to either -A or the transpose of -A. Plus, we propose a simplified version of the distillability conjecture when both A and B are matrices with distinct eigenvalues. |
| title | On the distillablity conjecture in matrix theory |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.09527 |