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Tighter uncertainty relations based on $(\alpha,\beta,\gamma)$ modified weighted Wigner-Yanase-Dyson skew information of quantum channels
- Source :
- Laser Phys. Lett. 19 (2022) 105206 (7pp)
- Publication Year :
- 2022
-
Abstract
- We use a novel formation to illustrate the ($\alpha,\beta,\gamma$) modified weighted Wigner-Yanase-Dyson (($\alpha,\beta,\gamma$) MWWYD) skew information of quantum channels. By using operator norm inequalities, we explore the sum uncertainty relations for arbitrary $N$ quantum channels and for unitary channels. These uncertainty inequalities are shown to be tighter than the existing ones by a detailed example. Our results are also applicable to the modified weighted Wigner-Yanase-Dyson (MWWYD) skew information and the ($\alpha,\gamma$) modified weighted Wigner-Yanase-Dyson (($\alpha,\gamma$) MWWYD) skew information of quantum channels as special cases.<br />Comment: 12 pages, 2 figures
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Laser Phys. Lett. 19 (2022) 105206 (7pp)
- Publication Type :
- Report
- Accession number :
- edsarx.2208.06992
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1612-202X/ac8c44