Volume 132, Number 6, December 2020
|Number of page(s)||6|
|Published online||02 March 2021|
Uncertainty and complementarity relations based on generalized skew information
1 Department of Mathematics, Nanchang University - Nanchang 330031, China
2 School of Mathematical Sciences, Capital Normal University - Beijing 100048, China
3 Max Planck Institute for Mathematics in the Sciences - 04103 Leipzig, Germany
Received: 28 September 2020
Accepted: 20 November 2020
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.
PACS: 03.65.Ta – Foundations of quantum mechanics; measurement theory / 03.67.-a – Quantum information
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