Uncertainty Relation for the Wigner-Yanase Skew Information and Quantum Sobolev Inequalities
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918128518168576 |
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| author | Lafleche, Laurent |
| author_facet | Lafleche, Laurent |
| contents | This note explores uncertainty inequalities for quantum analogues of the Fisher information including the Wigner-Yanase skew information, and their connection to the quantum Sobolev inequalities proved by the author in [Journal of Functional Analysis, 286 (10) 2024]. Some additional inequalities concerning commutators are derived and others are left as open problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15554 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uncertainty Relation for the Wigner-Yanase Skew Information and Quantum Sobolev Inequalities Lafleche, Laurent Mathematical Physics Functional Analysis Quantum Physics 81S07, 46E35, 81S30 (Primary) 47A30 (Secondary) This note explores uncertainty inequalities for quantum analogues of the Fisher information including the Wigner-Yanase skew information, and their connection to the quantum Sobolev inequalities proved by the author in [Journal of Functional Analysis, 286 (10) 2024]. Some additional inequalities concerning commutators are derived and others are left as open problems. |
| title | Uncertainty Relation for the Wigner-Yanase Skew Information and Quantum Sobolev Inequalities |
| topic | Mathematical Physics Functional Analysis Quantum Physics 81S07, 46E35, 81S30 (Primary) 47A30 (Secondary) |
| url | https://arxiv.org/abs/2508.15554 |