English

Uncertainty and complementarity relations based on generalized skew information

Quantum Physics 2021-08-06 v1

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.

Keywords

Cite

@article{arxiv.2108.02358,
  title  = {Uncertainty and complementarity relations based on generalized skew information},
  author = {Huaijing Huang and Zhaoqi Wu and Shao-Ming Fei},
  journal= {arXiv preprint arXiv:2108.02358},
  year   = {2021}
}

Comments

7 pages

R2 v1 2026-06-24T04:50:41.306Z