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arXiv · 2208.06992

Tighter uncertainty relations based on $(\alpha,\beta,\gamma)$ modified weighted Wigner-Yanase-Dyson skew information of quantum channels

Cong Xu·Zhaoqi Wu·Shao-Ming Fei
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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.

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Cong Xu, Zhaoqi Wu, Shao-Ming Fei. 2022-08-15. Tighter uncertainty relations based on $(\alpha,\beta,\gamma)$ modified weighted Wigner-Yanase-Dyson skew information of quantum channels. https://doi.org/10.1088/1612-202x%2Fac8c44

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