Schmidt number criterion via general symmetric informationally complete measurements
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916521751609344 |
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| author | Wang, Zhen Sun, Bao-Zhi Fei, Shao-Ming Wang, Zhi-Xi |
| author_facet | Wang, Zhen Sun, Bao-Zhi Fei, Shao-Ming Wang, Zhi-Xi |
| contents | The Schmidt number characterizes the quantum entanglement of a bipartite mixed state and plays a significant role in certifying entanglement of quantum states. We derive a Schmidt number criterion based on the trace norm of the correlation matrix obtained from the general symmetric informationally complete measurements. The criterion gives an effective way to quantify the entanglement dimension of a bipartite state with arbitrary local dimensions. We show that this Schmidt number criterion is more effective and superior than other criteria such as fidelity, CCNR (computable cross-norm or realignment), MUB (mutually unbiased bases) and EAM (equiangular measurements) criteria in certifying the Schmidt numbers by detailed examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10074 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schmidt number criterion via general symmetric informationally complete measurements Wang, Zhen Sun, Bao-Zhi Fei, Shao-Ming Wang, Zhi-Xi Quantum Physics The Schmidt number characterizes the quantum entanglement of a bipartite mixed state and plays a significant role in certifying entanglement of quantum states. We derive a Schmidt number criterion based on the trace norm of the correlation matrix obtained from the general symmetric informationally complete measurements. The criterion gives an effective way to quantify the entanglement dimension of a bipartite state with arbitrary local dimensions. We show that this Schmidt number criterion is more effective and superior than other criteria such as fidelity, CCNR (computable cross-norm or realignment), MUB (mutually unbiased bases) and EAM (equiangular measurements) criteria in certifying the Schmidt numbers by detailed examples. |
| title | Schmidt number criterion via general symmetric informationally complete measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.10074 |