Summation and product forms of uncertainty relations based on metric-adjusted skew information
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914847648645120 |
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| author | Xu, Cong Zhang, Qing-Hua Fei, Shao-Ming |
| author_facet | Xu, Cong Zhang, Qing-Hua Fei, Shao-Ming |
| contents | Uncertainty principle is one of the most essential features in quantum mechanics and plays profound roles in quantum information processing. We establish tighter summation form uncertainty relations based on metric-adjusted skew information via operator representation of observables, which improve the existing results. By using the methodologies of sampling coordinates of observables, we also present tighter product form uncertainty relations. Detailed examples are given to illustrate the advantages of our uncertainty relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07963 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Summation and product forms of uncertainty relations based on metric-adjusted skew information Xu, Cong Zhang, Qing-Hua Fei, Shao-Ming Quantum Physics Uncertainty principle is one of the most essential features in quantum mechanics and plays profound roles in quantum information processing. We establish tighter summation form uncertainty relations based on metric-adjusted skew information via operator representation of observables, which improve the existing results. By using the methodologies of sampling coordinates of observables, we also present tighter product form uncertainty relations. Detailed examples are given to illustrate the advantages of our uncertainty relations. |
| title | Summation and product forms of uncertainty relations based on metric-adjusted skew information |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2312.07963 |