Back to Search
Start Over
Sum uncertainty relations based on $(α,β,γ)$ weighted Wigner-Yanase-Dyson skew information
- Publication Year :
- 2022
- Publisher :
- arXiv, 2022.
-
Abstract
- We introduce ($α,β,γ$) weighted Wigner-Yanase-Dyson (($α,β,γ$) WWYD) skew information and ($α,β,γ$) modified weighted Wigner-Yanase-Dyson (($α,β,γ$) MWWYD) skew information. We explore the sum uncertainty relations for arbitrary $N$ mutually noncommutative observables based on ($α,β,γ$) WWYD skew information. A series of uncertainty inequalities are derived. We show by detailed example that our results cover and improve the previous ones based on the original Wigner-Yanase (WY) skew information. Finally, we establish new sum uncertainty relations in terms of the ($α,β,γ$) MWWYD skew information for arbitrary $N$ quantum channels.<br />19 pages, 1 figure
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....1caeaec0424b6d87dfb8d5c0400959e0
- Full Text :
- https://doi.org/10.48550/arxiv.2208.06772