论文标题
基于$（α，β，γ）$加权wigner-yanase-dyson偏斜信息的总和不确定性关系
Sum uncertainty relations based on $(α,β,γ)$ weighted Wigner-Yanase-Dyson skew information
论文作者
论文摘要
我们介绍了（$α，β，γ$）加权Wigner-yanase-dyson（（$α，β，γ$）WWYD）偏斜信息和（$α，β，γ$）修改的加权Wigner-yanase-dyson（（（$α，β，β，β，β，γ$）mwwyd）。我们探讨了基于（$α，β，γ$）WWYD偏斜信息的任意$ n $互不交流可观察力的任意$ n $相互不确定性的总和不确定性关系。得出了一系列不确定性不平等。我们以详细的示例显示了我们的结果涵盖并根据原始的Wigner-Yanase（WY）偏斜信息改进了先前的结果。最后，我们根据（$α，β，γ$）MWWYD偏斜信息建立了新的总和不确定性关系。
We introduce ($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.
