Entanglement witnesses and separability criteria based on generalized equiangular tight frames
Abstract In quantum information theory, measurements are represented by positive, operator-valued measures. In this paper, we use the operators corresponding to generalized equiangular measurements to construct positive maps. Their positivity follows from the properties of index of coincidence for f...
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| Language: | English |
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Nature Portfolio
2025-08-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-025-13403-7 |
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| _version_ | 1849235414336929792 |
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| author | Katarzyna Siudzińska |
| author_facet | Katarzyna Siudzińska |
| author_sort | Katarzyna Siudzińska |
| collection | DOAJ |
| description | Abstract In quantum information theory, measurements are represented by positive, operator-valued measures. In this paper, we use the operators corresponding to generalized equiangular measurements to construct positive maps. Their positivity follows from the properties of index of coincidence for 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 | Article |
| id | doaj-art-de2aa5a14a7f470687a8d9e29aa4331d |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-de2aa5a14a7f470687a8d9e29aa4331d2025-08-20T04:02:46ZengNature PortfolioScientific Reports2045-23222025-08-0115111410.1038/s41598-025-13403-7Entanglement witnesses and separability criteria based on generalized equiangular tight framesKatarzyna Siudzińska0Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in ToruńAbstract In quantum information theory, measurements are represented by positive, operator-valued measures. In this paper, we use the operators corresponding to generalized equiangular measurements to construct positive maps. Their positivity follows from the properties of index of coincidence for 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.https://doi.org/10.1038/s41598-025-13403-7 |
| spellingShingle | Katarzyna Siudzińska Entanglement witnesses and separability criteria based on generalized equiangular tight frames Scientific Reports |
| title | Entanglement witnesses and separability criteria based on generalized equiangular tight frames |
| title_full | Entanglement witnesses and separability criteria based on generalized equiangular tight frames |
| title_fullStr | Entanglement witnesses and separability criteria based on generalized equiangular tight frames |
| title_full_unstemmed | Entanglement witnesses and separability criteria based on generalized equiangular tight frames |
| title_short | Entanglement witnesses and separability criteria based on generalized equiangular tight frames |
| title_sort | entanglement witnesses and separability criteria based on generalized equiangular tight frames |
| url | https://doi.org/10.1038/s41598-025-13403-7 |
| work_keys_str_mv | AT katarzynasiudzinska entanglementwitnessesandseparabilitycriteriabasedongeneralizedequiangulartightframes |