Estimating the Schmidt numbers of quantum states via symmetric measurements
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916881519083520 |
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| author | Wang, Hao-Fan Fei, Shao-Ming |
| author_facet | Wang, Hao-Fan Fei, Shao-Ming |
| contents | The Schmidt numbers quantify the entanglement degree of quantum states. Quantum states with high Schmidt numbers provide a larger advantage in various quantum information processing tasks compared to quantum states with low Schmidt numbers. We derive a Schmidt number criterion based on the trace norm of the correlation matrix obtained from symmetric measurements. We show that our result is more effective than and superior to existing Schmidt number criteria by detailed examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Estimating the Schmidt numbers of quantum states via symmetric measurements Wang, Hao-Fan Fei, Shao-Ming Quantum Physics The Schmidt numbers quantify the entanglement degree of quantum states. Quantum states with high Schmidt numbers provide a larger advantage in various quantum information processing tasks compared to quantum states with low Schmidt numbers. We derive a Schmidt number criterion based on the trace norm of the correlation matrix obtained from symmetric measurements. We show that our result is more effective than and superior to existing Schmidt number criteria by detailed examples. |
| title | Estimating the Schmidt numbers of quantum states via symmetric measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.02297 |