Tighter sum uncertainty relations via $(α,β,γ)$ weighted Wigner-Yanase-Dyson skew information
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929347533733888 |
|---|---|
| author | Xu, Cong Wu, Zhaoqi Fei, Shao-Ming |
| author_facet | Xu, Cong Wu, Zhaoqi Fei, Shao-Ming |
| contents | We establish tighter uncertainty relations for arbitrary finite observables via $(α,β,γ)$ weighted Wigner-Yanase-Dyson ($(α,β,γ)$WWYD) skew information. The results are also applicable to the $(α,γ)$ weighted Wigner-Yanase-Dyson ($(α,γ)$WWYD) skew information and the weighted Wigner-Yanase-Dyson (WWYD) skew information. We also present tighter lower bounds of quantum channels and unitary channels via $(α,β,γ)$ modified weighted Wigner-Yanase-Dyson ($(α,β,γ)$MWWYD) skew information. Detailed examples are provided to illustrate tightness of our uncertainty relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08641 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tighter sum uncertainty relations via $(α,β,γ)$ weighted Wigner-Yanase-Dyson skew information Xu, Cong Wu, Zhaoqi Fei, Shao-Ming Quantum Physics We establish tighter uncertainty relations for arbitrary finite observables via $(α,β,γ)$ weighted Wigner-Yanase-Dyson ($(α,β,γ)$WWYD) skew information. The results are also applicable to the $(α,γ)$ weighted Wigner-Yanase-Dyson ($(α,γ)$WWYD) skew information and the weighted Wigner-Yanase-Dyson (WWYD) skew information. We also present tighter lower bounds of quantum channels and unitary channels via $(α,β,γ)$ modified weighted Wigner-Yanase-Dyson ($(α,β,γ)$MWWYD) skew information. Detailed examples are provided to illustrate tightness of our uncertainty relations. |
| title | Tighter sum uncertainty relations via $(α,β,γ)$ weighted Wigner-Yanase-Dyson skew information |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2401.08641 |