Wigner-Yanase-Dyson information as a measure of quantum uncertainty of mixed states

TL;DR

This paper explores the Wigner-Yanase-Dyson information as a way to quantify quantum uncertainty in mixed states, analyzing its properties and potential applications.

Contribution

It introduces and examines the properties of a generalized measure of quantum uncertainty based on Wigner-Yanase-Dyson information.

Findings

Properties of the measure are characterized.

Connections to generalized entropies are discussed.

Potential applications in quantum information are suggested.

Abstract

In this paper, we consider Wigner-Yanase-Dyson information as a measure of quantum uncertainty of a mixed state. We study some of the interesting properties of this generalized measure. The construction is reminiscent of the generalized entropies that have shown to be useful in many applications.