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arXiv:2108.02358 · Europhysics Letters (EPL)

Uncertainty and complementarity relations based on generalized skew information

Huaijing Huang, Zhaoqi Wu, Shao-Ming Fei

Published Dec 1, 2020• 9 citations
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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.

DOI
10.1209/0295-5075/132/60007

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