Entanglement witnesses and separability criteria based on generalized equiangular tight frames
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918204558802944 |
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| author | Siudzińska, Katarzyna |
| author_facet | Siudzińska, Katarzyna |
| contents | We use operators from generalized equiangular measurements to construct positive maps. Their positivity follows from the inequality for indices of coincidence corresponding to few equiangular tight frames. These maps give rise to entanglement witnesses, which include as special cases many important classes considered in the literature. Additionally, we introduce separability criteria based on the correlation matrix and analyze them for various types of measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07065 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement witnesses and separability criteria based on generalized equiangular tight frames Siudzińska, Katarzyna Quantum Physics Mathematical Physics We use operators from generalized equiangular measurements to construct positive maps. Their positivity follows from the inequality for indices of coincidence corresponding to few equiangular tight frames. These maps give rise to entanglement witnesses, which include as special cases many important classes considered in the literature. Additionally, we introduce separability criteria based on the correlation matrix and analyze them for various types of measurements. |
| title | Entanglement witnesses and separability criteria based on generalized equiangular tight frames |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2411.07065 |