Uncertainty and complementarity relations based on generalized skew information

• URL: http://arxiv.org/abs/2108.02358v1
• Date: Thu, 5 Aug 2021 04:13:45 GMT
• Title: Uncertainty and complementarity relations based on generalized skew information
• Authors: Huaijing Huang, Zhaoqi Wu and Shao-Ming Fei
• Abstract summary: Uncertainty relations and complementarity relations are core issues in quantum mechanics and quantum information theory. We derive several uncertainty and complementarity relations with respect to mutually unbiased measurements.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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