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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2506.18211 |
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| _version_ | 1866908777706422272 |
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| author | Siudzińska, Katarzyna |
| author_facet | Siudzińska, Katarzyna |
| contents | Quantum measurements are important tools in quantum information, represented by positive, operator-valued measures. A wide class of symmetric measurements is given via generalized equiangular measurements that form conical 2-designs. We show that only two positive constants are needed to fully characterize a variety of important quantum measures constructed from such operators. Examples are given for entropic uncertainty relations, the Brukner-Zeilinger invariants, quantum coherence, quantum concurrence, and the Schmidt-number criterion for entanglement detection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18211 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measures from conical 2-designs depend only on two constants Siudzińska, Katarzyna Quantum Physics Mathematical Physics Quantum measurements are important tools in quantum information, represented by positive, operator-valued measures. A wide class of symmetric measurements is given via generalized equiangular measurements that form conical 2-designs. We show that only two positive constants are needed to fully characterize a variety of important quantum measures constructed from such operators. Examples are given for entropic uncertainty relations, the Brukner-Zeilinger invariants, quantum coherence, quantum concurrence, and the Schmidt-number criterion for entanglement detection. |
| title | Measures from conical 2-designs depend only on two constants |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2506.18211 |