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

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.

11 pages, 2 figures

References in corpus (3)

• Metric adjusted skew information
• A note on uncertainty relations of arbitrary N quantum channels
• An improved bound for strong unitary uncertainty relations with refined sequence

Cited by in corpus (5)

• Uncertainty relations for metric adjusted skew information and Cauchy-Schwarz inequality
• Wigner-Yanase skew information-based uncertainty relations for quantum channels
• Parameterized Multi-observable Sum Uncertainty Relations
• Uncertainty of quantum channels based on symmetrized \r{ho}-absolute variance and modified Wigner-Yanase skew information
• Stronger sum uncertainty relations for non-Hermitian operators