论文标题

基于$(α,β,γ)$修改的加权wigner-yanase-dyson偏斜信息的较紧密不确定性关系

Tighter uncertainty relations based on $(α,β,γ)$ modified weighted Wigner-Yanase-Dyson skew information of quantum channels

论文作者

Xu, Cong, Wu, Zhaoqi, Fei, Shao-Ming

论文摘要

我们使用一种新型的形成来说明($α,β,γ$)修改的加权wigner-yanase-dyson(($α,β,γ$)MWWYD)偏斜的量子通道信息。通过使用操作员规范不平等,我们探讨了任意$ n $量子通道和单一渠道的总不确定性关系。通过一个详细的示例,这些不确定性不平等比现有的不平等更紧密。我们的结果也适用于经过改进的加权Wigner-yanase-dyson(MWWYD)偏斜信息,以及($α,γ$)修改的加权wigner-yanase-dyson(((($α,γ$)mwwyd))量子通道的偏斜信息作为特殊情况。

We use a novel formation to illustrate the ($α,β,γ$) modified weighted Wigner-Yanase-Dyson (($α,β,γ$) 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 ($α,γ$) modified weighted Wigner-Yanase-Dyson (($α,γ$) MWWYD) skew information of quantum channels as special cases.

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