Entanglement witnesses from mutually unbiased measurements
Abstract A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases. This family allows one to define entanglement witnesses whose indecomposability depends on the char...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2021-11-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-02356-2 |
| _version_ | 1818420842677141504 |
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| author | Katarzyna Siudzińska Dariusz Chruściński |
| author_facet | Katarzyna Siudzińska Dariusz Chruściński |
| author_sort | Katarzyna Siudzińska |
| collection | DOAJ |
| description | Abstract A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases. This family allows one to define entanglement witnesses whose indecomposability depends on the characteristics of the associated measurement operators. We provide examples of indecomposable witnesses and compare their entanglement detection properties with the realignment criterion. |
| first_indexed | 2024-12-14T13:00:54Z |
| format | Article |
| id | doaj.art-4823787ce3024686ba9856cc494b4bc1 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-14T13:00:54Z |
| publishDate | 2021-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-4823787ce3024686ba9856cc494b4bc12022-12-21T23:00:27ZengNature PortfolioScientific Reports2045-23222021-11-011111910.1038/s41598-021-02356-2Entanglement witnesses from mutually unbiased measurementsKatarzyna Siudzińska0Dariusz Chruściński1Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in ToruńInstitute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in ToruńAbstract A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases. This family allows one to define entanglement witnesses whose indecomposability depends on the characteristics of the associated measurement operators. We provide examples of indecomposable witnesses and compare their entanglement detection properties with the realignment criterion.https://doi.org/10.1038/s41598-021-02356-2 |
| spellingShingle | Katarzyna Siudzińska Dariusz Chruściński Entanglement witnesses from mutually unbiased measurements Scientific Reports |
| title | Entanglement witnesses from mutually unbiased measurements |
| title_full | Entanglement witnesses from mutually unbiased measurements |
| title_fullStr | Entanglement witnesses from mutually unbiased measurements |
| title_full_unstemmed | Entanglement witnesses from mutually unbiased measurements |
| title_short | Entanglement witnesses from mutually unbiased measurements |
| title_sort | entanglement witnesses from mutually unbiased measurements |
| url | https://doi.org/10.1038/s41598-021-02356-2 |
| work_keys_str_mv | AT katarzynasiudzinska entanglementwitnessesfrommutuallyunbiasedmeasurements AT dariuszchruscinski entanglementwitnessesfrommutuallyunbiasedmeasurements |