Quantum Uncertainty Based on Metric Adjusted Skew Information

TL;DR

This paper explores quantum uncertainty measures derived from metric adjusted skew information, analyzing their fundamental properties and demonstrating their use in detecting quantum nonlocality and entanglement.

Contribution

It provides a detailed analysis of measurement-induced quantum uncertainty measures and applies them to identify quantum nonlocality and entanglement.

Findings

Quantum uncertainty measures are basis-independent and have spectral representations.

These measures effectively detect quantum nonlocality.

They also serve as indicators of quantum entanglement.

Abstract

Prompted by the open questions in Gibilisco [Int. J. Software Informatics, 8(3-4): 265, 2014], in which he introduced a family of measurement-induced quantum uncertainty measures via metric adjusted skew informations, we investigate these measures' fundamental properties (including basis independence and spectral representation), and illustrate their applications to detect quantum nonlocality and entanglement.