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Sum uncertainty relations based on $(\alpha,\beta,\gamma)$ weighted Wigner-Yanase-Dyson skew information
- Source :
- International Journal of Theoretical Physics (2022) 61:185
- Publication Year :
- 2022
-
Abstract
- We introduce ($\alpha,\beta,\gamma$) weighted Wigner-Yanase-Dyson (($\alpha,\beta,\gamma$) WWYD) skew information and ($\alpha,\beta,\gamma$) modified weighted Wigner-Yanase-Dyson (($\alpha,\beta,\gamma$) MWWYD) skew information. We explore the sum uncertainty relations for arbitrary $N$ mutually noncommutative observables based on ($\alpha,\beta,\gamma$) 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 ($\alpha,\beta,\gamma$) MWWYD skew information for arbitrary $N$ quantum channels.<br />Comment: 19 pages, 1 figure
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- International Journal of Theoretical Physics (2022) 61:185
- Publication Type :
- Report
- Accession number :
- edsarx.2208.06772
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s10773-022-05160-4