A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist
Abstract Two approaches can be utilized to handle the separability problem, finding out whether a given bipartite qudit state is separable or not: a direct procedure on the state space or the effective tool of entanglement witnesses (EWs). This contribution studies the structure of EWs. Exploiting t...
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Nature Portfolio
2025-08-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-025-10985-0 |
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| author | Dariusz Chruściński Anindita Bera Joonwoo Bae Beatrix C. Hiesmayr |
| author_facet | Dariusz Chruściński Anindita Bera Joonwoo Bae Beatrix C. Hiesmayr |
| author_sort | Dariusz Chruściński |
| collection | DOAJ |
| description | Abstract Two approaches can be utilized to handle the separability problem, finding out whether a given bipartite qudit state is separable or not: a direct procedure on the state space or the effective tool of entanglement witnesses (EWs). This contribution studies the structure of EWs. Exploiting the very concept of mirrored EWs, increasing the detection power, we show, in contrast to the conjecture in a recent paper (Bera et al. in Sci Rep 13:10733, 2023), there exist pairs of optimal EWs, which are both non-decomposible, i.e. can detect bound/PPT-entangled states in an optimal way. Since we show that the structure also extends to higher dimensions, our results reveal a further structure of entanglement witnesses. |
| format | Article |
| id | doaj-art-d87d3b961eb14d9e8fbd6b30d21f0005 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Nature Portfolio |
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| series | Scientific Reports |
| spelling | doaj-art-d87d3b961eb14d9e8fbd6b30d21f00052025-08-20T04:01:51ZengNature PortfolioScientific Reports2045-23222025-08-0115111210.1038/s41598-025-10985-0A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does existDariusz Chruściński0Anindita Bera1Joonwoo Bae2Beatrix C. Hiesmayr3Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus UniversityDepartment of Mathematics, Birla Institute of Technology MesraSchool of Electrical Engineering, Korea Advanced Institute of Science and Technology (KAIST)University of Vienna, Faculty of PhysicsAbstract Two approaches can be utilized to handle the separability problem, finding out whether a given bipartite qudit state is separable or not: a direct procedure on the state space or the effective tool of entanglement witnesses (EWs). This contribution studies the structure of EWs. Exploiting the very concept of mirrored EWs, increasing the detection power, we show, in contrast to the conjecture in a recent paper (Bera et al. in Sci Rep 13:10733, 2023), there exist pairs of optimal EWs, which are both non-decomposible, i.e. can detect bound/PPT-entangled states in an optimal way. Since we show that the structure also extends to higher dimensions, our results reveal a further structure of entanglement witnesses.https://doi.org/10.1038/s41598-025-10985-0 |
| spellingShingle | Dariusz Chruściński Anindita Bera Joonwoo Bae Beatrix C. Hiesmayr A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist Scientific Reports |
| title | A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist |
| title_full | A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist |
| title_fullStr | A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist |
| title_full_unstemmed | A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist |
| title_short | A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist |
| title_sort | mirrored pair of optimal non decomposable entanglement witnesses for two qudits does exist |
| url | https://doi.org/10.1038/s41598-025-10985-0 |
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