Uncertainty and complementarity relations based on generalized skew information. (2nd March 2021)

• Record Type: Journal Article
• Authors: Huang, Huaijing; Wu, Zhaoqi; Fei, Shao-Ming
• Is Part Of: Europhysics letters. Volume 132:Number 6(2020)
• Publication Date: 2021-03-02
• Subjects: 03.65.Ta -- 03.67.-a; Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/132/60007
• Languages: English
• ISSNs: 0295-5075

Abstract

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.