English

Product and sum uncertainty relations based on metric-adjusted skew information

Quantum Physics 2022-04-04 v1

Abstract

The metric-adjusted skew information establishes a connection between the geometrical formulation of quantum statistics and the measures of quantum information. We study uncertainty relations in product and summation forms of metric-adjusted skew information. We present lower bounds on product and summation uncertainty inequalities based on metric-adjusted skew information via operator representation of observables. Explicit examples are provided to back our claims.

Keywords

Cite

@article{arxiv.2204.00332,
  title  = {Product and sum uncertainty relations based on metric-adjusted skew information},
  author = {Xiaoyu Ma and Qing-Hua Zhang and Shao-Ming Fei},
  journal= {arXiv preprint arXiv:2204.00332},
  year   = {2022}
}

Comments

11 pages, 2 figures