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

• Main Authors: Fei, S.-M (Author), Ma, X. (Author), Zhang, Q.-H (Author)
• Format: Article
• Language: English
• Published: IOP Publishing Ltd 2022
• Subjects: metric-adjusted skew information; operator representation; uncertainty relations
• Online Access: View Fulltext in Publisher
• ISBN: 16122011 (ISSN)
• DOI: 10.1088/1612-202X/ac60a3

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. © 2022 Astro Ltd.