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arXiv · 2108.02358

Uncertainty and complementarity relations based on generalized skew information

Huaijing Huang·Zhaoqi Wu·Shao-Ming Fei
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Abstract

Uncertainty relations and complementarity relations are core issues in quantum mechanics and quantum information theory. By use of the generalized Wigner-Yanase-Dyson (GWYD) skew information, we derive several uncertainty and complementarity relations with respect to mutually unbiased measurements (MUMs), and general symmetric informationally complete positive operator valued measurements (SIC-POVMs), respectively. Our results include some existing ones as particular cases. We also exemplify our results by providing a detailed example.

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Huaijing Huang, Zhaoqi Wu, Shao-Ming Fei. 2021-08-05. Uncertainty and complementarity relations based on generalized skew information. https://doi.org/10.1209/0295-5075/132/60007

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