Uncertainty relations based on Wigner-Yanase skew information

TL;DR

This paper develops new uncertainty relations based on Wigner-Yanase skew information, providing improved bounds for multiple observables and introducing weighted relations and separability criteria.

Contribution

It introduces novel uncertainty relations using skew information, surpassing previous bounds, and proposes weighted relations and separability criteria for quantum observables.

Findings

Derived uncertainty relations outperform previous bounds

Proposed weighted uncertainty relations for noncompatible observables

Established separability criteria using skew information

Abstract

In this paper, we use certain norm inequalities to obtain new uncertain relations based on the Wigner-Yanase skew information. First for an arbitrary finite number of observables we derive an uncertainty relation outperforming previous lower bounds. We then propose new weighted uncertainty relations for two noncompatible observables. Two separable criteria via skew information are also obtained.