Unital Kadison-Schwarz Maps
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909798386106368 |
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| author | Zadjali, Hajir Al Mukhamedov, Farrukh |
| author_facet | Zadjali, Hajir Al Mukhamedov, Farrukh |
| contents | Quantum entanglement is an important phenomenon in quantum information theory. To detect entanglement theoretically, positive but not completely positive maps are used. The Kadison-Schwarz (KS) inequality interpolates between positivity and complete positivity. KS maps may be key to understanding and detecting entanglement. We provide a description of a subset of KS maps on $M_2(\mathbb{C})$ that are unital. This allows for the classification of a wider class of positive maps than the well known bistochastic maps. We derive the conditions for a unital map to be a KS map, and provide non-trivial examples of such a map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unital Kadison-Schwarz Maps Zadjali, Hajir Al Mukhamedov, Farrukh Quantum Physics Mathematical Physics Quantum entanglement is an important phenomenon in quantum information theory. To detect entanglement theoretically, positive but not completely positive maps are used. The Kadison-Schwarz (KS) inequality interpolates between positivity and complete positivity. KS maps may be key to understanding and detecting entanglement. We provide a description of a subset of KS maps on $M_2(\mathbb{C})$ that are unital. This allows for the classification of a wider class of positive maps than the well known bistochastic maps. We derive the conditions for a unital map to be a KS map, and provide non-trivial examples of such a map. |
| title | Unital Kadison-Schwarz Maps |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2509.16368 |